SCIENTIFIC ABSTRACT LETOKHOV, V.S. - LETOV, A.M.
Document Type:
Collection:
Document Number (FOIA) /ESDN (CREST):
CIA-RDP86-00513R000929420006-9
Release Decision:
RIF
Original Classification:
S
Document Page Count:
96
Document Creation Date:
November 2, 2016
Document Release Date:
July 12, 2001
Sequence Number:
6
Case Number:
Publication Date:
December 31, 1967
Content Type:
SCIENTIFIC ABSTRACT
File:
Attachment | Size |
---|---|
![]() | 2.75 MB |
Body:
NRs AP7001314
energy transfer between the ions. The authors thank N. G. Basom for discussing the
problem. Orig. art. hass 2 figures and 28 formulas. IYKI
SUB CODE: 20/ SUBH DATEs 3lMay66/ ORIG REP: 003/ OTH REFt 010/
ATD PRESS: 5110
I
-S
2
ACC NR: AI"1003209
SOURCE CODE: UR/0056/66/051/oo6/1669/1675
AUTHOR: Arbartsumyan, R.V.; Kryukov, P.G.; j~etokhov, V.S.
ORG: Phyaics Institute im. P.N. Lebedev, Academy of Sciences 533R
(Fizicheskiy institut Akademii nauk GSSR)
TITLE: Dynamics of spectral line narrowing in a nonresonant feedback
laser
SOURCE: Zh eksper i teor fiz, v. 51, no. 6, 1966, 1669-1675
TOPIC TAGS: solid state 1"3er, ruby laser, jvonn-wz-,=an-t feeAb&ck=t-a_~r~j
laser -&~ *
ABSTRACT:The authors proceed from rate equations for the spectral density of the
;photons and for the density of the active particles. The time-dependent
line width Av, is expressed in terms of exact solutions through nwnerical
integration, and also in terms of a simplified formula which shows that
Av; after an initial transient-state period, grows roughly as k/vi-
.(k--threshold gain per pass), i.e., much more slowly than in lasers with
resonant feedback. The experimental part of the paper deals with the.
1/2
NRs AP7003209
,spectral analysis of the emission'-of a nonreionant feedback ruby laser by
-'the method of the Fabry-Perot interferometer and the rotating-mirror
spectrograph. The parameters of this laser were described earlier
-'(Ambartsumyan, R. V., N. G. Basov, P. G. Kryukov, V. S. Letokhov. ZhETF,
PvR, 3, 1966, 262; ZhETF, v. 51, no. 2, 1966, 724). The observed values
of the spectral width are shown to confirm the theory. White paper and
magnesium oxide were used as surface scatterers, and smoke and sulfur
.,hydrosols were used as volume scatterers. With smoke the threshold gain per
:pass k was naturally very high, and narrowing (to 0.03 cm-1) occurred
quite rapidly (in 100-300 usec).
SUB'CODE: 20/ SUBM DATE:
ATD PRESS: 5113
l9jul66/ ORIG REF: 005/ OTH REFt 005
2/2
o1/0282/0292
SOURCE 0056/67/052iO
UR/
ACC NRiAP7006151
-tokhovs V. S.; Suchkovo A. ence, SSSR (Fizicheskiy
AUTHOR: Le
ademY Of Sc'
physics Institute im. p. N. Lebedevs Ac
'RGjjtut AkudemiL nauk SIR)
ins giant coherent light Pulsep 11.
TITLE*- Dynamics Of generation of a teoreticheskOY fiziki, v. 52, no. 1, 1967,
SOURCE: Zhurn&l ekspari=Gntal'"07 ' toeA 4 -1 F_ "
282-292 switched lasert laser theory I 'mvwr
TOPIC TAGS: t
AA S e/Z tion of an earlier work by the authors MEW,
a continua -time evolution of a giant ligh
ABSTIACTI This paper is 966, 11,48) on the space a theoretical analysis
V. 50, no. 4, 1 leer. In the present PaPe'4P region, its
Pulse from a "witched 11 1 "Jet" in the linear generation se development
formation of A A the transver ities of
is made of 'the a initial field intensit'sale" t of inhozogene Cs of
The effec
dependence on th iar region* y on the dynam;i
of generation in the nonlini medium inside the cavit existence of a
the, reproductivs index of a considered. The,postulAted
generation Of a giant Pulse is ~ntiy canf irwd d
.j.pment of a giant Pulse was TeC4 51, 1966, ~06)
transverse devi r~Aumyan-.et al., _(Z1iEM
experimentally..by
UDC:
V.
V'IC6kOWLh '*.ei~ il':'(ZhETF, -PvR, '3, 10~6, -the
,substantiated by Ambartsuniyan et al. (Z'hETY,. PvR, 4, 1966, 19) in connec-
,-..'itloa wit'h the propagation of a 'giant pulse In a nonlinear medium. Recom-
:mandations are made for the construction of 'giant pulse lasers with 'qn
extremely short-pulse duration and minimal bean divergence.' Orig. ijt'.
tYKJ
SUB CODEs 20/ SUBM DATEs. 06Aug66/, ORIG REr: 008/ Orj RM'-" 002/ ATD PRESS 1 51
.11, IV:mi ~ m :.
, , "'s - 'I . , " :. .II " ~-,. , , o , ~ : .;, 0 ":? ~! . . . -
. . 19- 1~ - - I , . I
,,. ...;.2 1 t ',-
,JljmAiM4r,Ajokanrirn3ilphokand, pol.-m r. naukp dots.j.
LEVIN.40 I.L.g, red.
Olacent tectonica# volcanio atas, ard large asimic belts
of the world) Neataktonl3m,, vulkanicheakle provintali I To-
1we saimichaskie polasa air&, Moskva, Izd-vo Mosko univap
196,% 220 p. (FIRA ISM)
MyA k IM
The comirsitOn of o1c,611ttla evtr~jted from old pint
stutrips. . ,. VO111%'1il,1V, M. N TAt-MMYRU. and I- L
!;Orku~u. , P,C-
$. ~:- 1, 11- 12MI'4) -Tfi, r-i. -t-mt o1 pfne
ovcr T) miri In the gictind, were gfuAivi, Tfir mtr"!e.,;
contithir-i (va!ues h~ both umpl,!s Iiien In r4l] ciwi)
FID.0 R4.7 ; tx,nrAry anti trc-dti-ft" wiNA, 12 2-7 1 c1'
(1), mrA 8.5, 7.7% 11.0. The cilif. I wa4 OY-49AC'l
tr ob"I .illu'l. 4114 2`4 n-21 r"
,0 in.'j, he
di-,irl,rd Into 3 grrAipi: ( 4) ~purul_ -ith 55~ INJICO,
(B) with 5% "4011 In If,() (19.f~-i5,7%).
'0
fend (C) With 5% -7aoFi in I`tOlf (11" A-1-5 "'(,~d), And fafh
jimip *21 divitf;l Inte? llmllf4l vilmtonorl (11), fAtty cri'l.
~(M), and re3in acids (IV). Ill *nd IV in.A as 4.S:-S..M
auld r.-9.74,0.4%; mA In it w;Li 2.2-2.7 end 16.3- 13.0%
U. 1U, and IV In C iv.3% 912-7.43, 2.y,~-2.ffg, and I 'A
001~11p- Colo r I Ir % thiti for A (90.71,"p, it ((1 1',,
and ( 2.0 1 ;, 'I'Indard rogin were 0 S5 arld 70'1~1 - ~
III ~vnd IV ~o A mid I AD and 5 17 In B. and 8 521c,, If
2.S1% 111, ;A 1 71:1, TV in C. JoLn Lakc Kruj~-
L~O) tk~Of- k
~_ k iL 1r
u
KOXMILOV, N.Y.; LET01MAKI, M.No
Causes of deposit precipitation in evaporators. Ihmsprow.30 no.3:5-8
Mr 155. (=A 8:4)
1, larelo-Yinakly filial Akademli nauk SSSRO
(Xvaporating appliances)(Callulose)(Lignin)
LICTONMTAKI, M.N.; K014SHILOV, N.F.
Composition of black cellulose lyes and the process of lignin
diesolution, 13v. Kar. i KOJI. fil, AN SSSR no.2:158-165 '58-
(MIRA 11:9)
1jaboratoriya lesokhimli Karel'skogo filiala AN SSSR.
(Karelia--Woodpulp industry)
IXTONRYAK-1 M.N.; KOASHIWV, N.r.; DA'IIURINSKAYA, N.G..
Composition of the organic part of black liquors Izvolare i
XoIIJILAII SSSR no.4.*138-145 '58. (MIRA 12:5)
1. Laboratoriya lesokbimil Karel' eko o filiala All SSSR.
(Voodpulp lndust~5
KOMSHIDDV, IT.F.; IZTONMTAKI, M.N.; PROKHOROV, A.V.; UFFISHEV. I.I.
'days and methods for roducing the amount of sulfuric acid used in
producing tall oil from sulfate soap. Izv. Kar. I Koll fil. AN SSSR
no.1:151-155 159. (MIRA 12:9)
l.Iaboratoriya lesokhimU Karellskogo filiala AN SSSR i Hauchno-
isoledovatellsklye gruppr Pitkyarantskogo sull-fatnogo zavoda
i Segezhokogo tsell7uloxno-buffl02hnogo kombinata.
(Sulfuric acid) (Tall oil)
t 39716-65
ACCESSION UR: AP5011721# UR/C,,P,0/64/037,1'011/248?/2492
AVIAIOR: Komshilov, 14. F. Dthurinskaya, 14. (3. Letonmyak.1, M. N
TITLE: Structure of the side chains of pine lignin
SOURCE: Zhurnal prikladnov kh1mii, v. 37, no. 11. 1964, 2487-21,92
TOPIC TAGS: plant chemistry, redox reaction, forest product
Continuing their previous studies,
M-1 R ACT the authors endeavored to ob in
ts
suppleaentary evidence that orid6t[on-reduction processes take place in pine
lignin during extraction from wood. Sulfate lignLn, hydrolyzed lignin purtfLed
by treatment with a copper 4mine solution, and copper &mine lignin produced
frow pine ahavings were characterized. Compdring Lheir results with litera-
ture data, the authors concluded thst the side chains of the pine lignin, both
natural and modified by iaolstLon Crou the wo*4, and those of spruce lt&nLno
are constructed analogously. It was demonstrated thAt during sulfate
tlLgestLan of wood, the aide chaLn4 of lignin aria aodifLAMd boxidation-
-ig. art. has: 7 for-nalan emd tab qn.
reduction processes, 01
Ni
".i L L
7
L 39716-65
ACCESSION UR: Ap-,on724
AZISOCIATION; Institut lesa Karel'okogo filial& AN 88SR (Forent Instituto of
the Karolian Branch, AN SSSR)
smmmm: 26uov62 ENCLi 00 SUB CODE: T.S, GC
NO REF SOVs 012 OTHER: 010 JPRS
'Ca
KOMIIILOV, N.F.; PILYUGTNA, L.Gj,; izrotmYAKI, M.N.1 ISSLIVANGVAI .I..
Volatile a-.1,Az fr~~m b-,a~:5, ti~;uors of L~ 'e sulfate
production. 7hur.j:r-lkl, k?ilr, 38 ro*3,,650--6rl7 vr li,rle
(IMPA 118.-11)
1. Karell3kly filial All Institut lesa. Sulmal',ted Febr. 11,
1963,
L:.;TOSHN16v, M. N.
29119 0 hemgnovennykh Udakakh. (K Toorii Klaviabrykh Iolomotryzsjv.) Lboralk
Asuch. -- Takhn. it-t;bot(Lenirwgr. Li-P '~ekhunizatsll Sol. ichoz.-Vaj vi, 1949.
S. 3-18
SO: Letopis' Zhurnallnvkh Statey. V01. 39, Hoekva, 1949
MIKOI .'fl'VTCH
LETooll,
.16
1955
proyektirovar,iYe I ISPyt" niye
i.~ashing; TOorlyg, ) J~
sej'akokhozY9ystvennyy8 Accounting. Plonnins,, 8nd Testing 3, Forer. I rOP.
(Farv, machinery; Theor-yo
k:o_,kva, Sel'kbOZFiT- 1955-
764 P- LJAgr.,;.
Bil,liographical Footrlotes*
LITOSHM, H.Neq pochatn" akademik
Theory of the stalk-turning apparatus of the SEJ-2,1 combine.
Mekh. L alek.tots.selikhos. no,5:14-22 '56. (MIRA 12:4)
1. Laningradakly oallskokhosyavotvannyy institut i Vaesoyusnaya
Wcadamlys, sallukokhosysystrennykh nauk im. Lenina.
(Combines (Agricultural machinery))
-T
GRIGCH'Yi;V, Bergey Mikhaylovich; UIRIU. Abram Bentsianovich; KALINIKUT,
Bergey Vnevolodovich; -- to a T"Prcfessor. dok-tor takhniche-
sk1kh nauk. redaktor; CHA?SKIY, O.U.. redektor; NOIMSOVA. II.G..
tekhnichaskly redaktor
[Agricultural machinery and iliplaments; laboratory work, home
asaiguneats, course work snA Uplome projects] Sel'skokhostatetvan-
nve mashirq i orudlia. labontorn" raboty, domashnie zadaniia.
kurvoyys raboty I diplonnoe proaktIrovente. Pod red. 4-;Llet3shnevs.
'4oskve, Gov.tsd-vo sellkhoz.lit-ry, 1957. 383 P. (HLRA in-10i
(Agricultural sachinery)
LXTOSHNEV, X.M.,pochatnyy akademik
. . ..................
Rechnnizntion of agriculture And the theory of enchinery. Mekh.
elk. sots. nallkhoz. 15 no.2:6-12 158. (XIRA 11:5)
1. Veasoyusnayn akademiya sellskokhosyaystvannykh nRuk im. V.I. Lenins.
(Agricultural machinery)
65961
cc, L) SOV/58-59-4-M5
Translation from: Referativnyy Zhurnal Fizika, 1959, Nr 4, p 210 (U33R)
AUTHOR: Letoshneva T.M.
a------- W__~ ! 115
TITLE: On the Limits of Beam Swinging In a Linear Radiator System
PERIODICAL: Tr. LeninAr. in-ta aviats._priborostr., 1958, Nr 18, pp 79 - 94
ABSTRACT: The deflection of the maximum in the directional diagram for a linear
dipole array with uniform excitation depends on the phase shift between
the dipoles. The author of the present article calculates this dependence.
The swinging of the beam is confined within certain limits by the appearance
of a second radiation maximum. The author plots a curve showing the width
of the major lobe for antennae 10 and 20 A long as a function of the angle
of deflection of the maximum. The asymmetry of the major lobe is noted.
The author points out that when the dipole array is fed from a single
feeder, the angle of deflection of the curve does not depend on the
distance between the dipoles. The optimum distance between dipoles
excited In antiphase is 0.577 A ; for wave-guide excitation this affords
the possibility of swinging the diagram from 00 to 600 by varying the
Card 1/1 distance between the wave-guide walls. Me. Kinber tl~
BIW, I; KEOVA, H.; MTOSNIX. V.
......... mmewovemm1r, -
Insulin resistant diabetes; clinical aspects. Cas.lok.cesk. 90
no.1:6-11 5 Jan 51i (CUL 20:6 )
1. Of th" 11rot Internal Clinic (Acting Road-Prof.T.JonLe, M.D.).
~. ~~ I r - -! 7 - -I;- -j .
- --- --- - Y 7 -Y -9
"Primary cancer of the small intestine." p. 261.
J10, Mar. 19531 Czechoslovakia)
(CASOPIS LEAKARu USKYCH, Voi. 92,
Last European Vol. 2, #8
SO: Mont List of AcceBsions,/Library of Congress, August 1953, Uncl.
PROCHAZKA, -Too., Dr.; -TIRSA, M., Dr.; LSMSNIK, V., Dr.; MAYER, K., Dr.;
BRAUN. A., dr., Path. cast zpracoval.
Studies on the problem of generalized pariostoses; hyperostosis
goneralisata with Uehlingerla pachydermia. Acts. chir. orthop.
traun. cech. 23 no.6:3U2-310 Nov 56.
1. 1. interni kltnika SYN v Praze, prodn. prof. Dr. M. Notousek--
11. kllnlka pro orthopedickou a detskou chirurgit v Praze, predn.
prof. Dr. 0. Hnovkovsky--I. pathologicka-anatomicky ustav KU v
Praze. J. P., Praha 10. Zahradni mesto, cp. 1125.
(OSTWARTHROPATHY, HYPIRTIDPHIC PULMONARY. complications,
Uenlinger's pach7dermia (CO)
(SKIN DISEASIS, complications,
Ushlinger's pachydermts, in hypertrophic pulm.
ostsoartbropathy (Cz))
LET-)SNIKO]A, L.
Modern ornaments in textile printing. (To be cortd.)
P. 220, (Textil) Vol. 12, no. 6, June 1951, Praha, Czechoslovakia
SO: Monthly Index of East European Acessi ns (XFAI) Vol. 4. No. 11 November 1557
INTOV,k.
Mwwww-,",~_
Regularly and profitably carry out the air transport plan.
Grazhd. av. 12 n0-5:1-3 W '55. (KT.RA 8:9)
1. Naehallnik Politicheskogo, uprnyleniya Grazhdanskoeo
vozdushnogo flota.
(Aeronautics. Commercial--Freight)
.IMOVP A.
Persistent improvement of party and politicgi work, GrUM,av, .12 no,,,,
Ar-6 A 155. (KRA 16 3 3)
-I* Nachallnik Politichookogo upravleniya Grazhdanskogo vosdushnogo
flota.
' (Com-nist Party of the Soviet UzLion-Party work)
KRASOVSKIY., N.N.; LETOV, A.M.
Concerning the theory of the analytical design of controllers. Avtom,
i telem. 23 no.6:713-720 Je 162. (MIRA 15:6)
(Automatic control)
K&TVIM, Hikolay Mikhaylovich; LVTOY,B.D., redaktor; TIRUGUji.P.,
professor, dokto'r fizik~~A( figskikh nauki redaktor;
GATAULLIU,A.S., takhnichaskiy redaktor
[Kethods of integrating ordinary differential equations)
Metody inte irovaniia obykriovennykh differentaialinykh
Uravuenii. FISIningrad] Ixd-vo Laningradekogo univ., 1955.
655 p. (HIRA 9:3)
(Differential equations)
_~~TOV, A., alnok
The firat International congrvss on automation of the IFAC. 140:-en
automat 8 no-5-158 160.
11 IFAC.
2TOI -". VI. ----
latovy a.m.
"On the Problem of Automatic pilots,, Vestnik mosk-goa Univ, No 1, 1946
IJETOV. A.T-:.~
Rewilirovanin ntAtEinnarnol7o sontolAnin "i-fetTiq nodvrrzhe~rmi leint.viiij
postoiannykh vozmushchaiu3hchikh sti. (PrikIndtinia materintika i meklinnika,
190, v. l?, no. 2, p. lh9-156, dinm., bibliorraphy)
Title tr.: Control of the itntinnAry stnte of a systam nub.'ected to
constant nerturbinr forcen.
Reviewed by S. Lefvchetz in ApplIPI Pechanicr PPvlevs, 1'5n. n). :15.
QABOI.P7 1948
Sn: Aeronalitical '"'eciprices a-A Aviation in the Soviet Uni-,n, Library (;A'
Conprens, 1911~c;
gtgoi=,A. =14- On the theory of in isodromic regulmor.
ArMu, NaM S-SSR, PrikI. Alat. Melt. 12; .363-363 ( rm,
(Russian)
The circuit equatiom leaff to nonlin-.ar (.0crential cqua.
a ve -
tions where the nanlincar tcrfnit It. small paranictcra .1.4
coefficients. The Poiricar6 nieth,x) is applicd to a!)tam
periodic -olution,; R. BeRman.
Sourcet Iatherrotical. RevIeWS, Vol 0 :41.3,
46
A4,
cial case in the investiption of Cho
M, On a spe
Let
6 =Al I0T. tion. AL-ad Nauk SSSR
-1 stern of r=,1&
I'rikl. Mat. IMell IZ, L, m Ij n
The rystern dz. 'dj
X, + 1. 2, IV.
dyldlmf(t), i5 investigated "here f(e) if,
ContinuouR and bounded for all r, satisfying Cf! ) > 0, r e0
fly a icries of transformauuns nd LA gencrilmmon of a
ahi;ity or
mcibod of U. A. tt is rhown 12- the xt.
instability oi the iolutm" car. ~-- kkicidzd by cc.-t---n ex-
pressions involving the- coefficients aj, ci, 1,.
R. Bd'fnam (-Stanford Univtrmity, Calif
Sclumet t:ethemptlCal ReVieVeo 1101 lo "'0. 7
A-M,
IMat. INIch. 14, 183-192 (19,cf))
R u. sl i I I
fii, sut;mr- -rjwnidv~a th,2 raalAity -if th-e cystem
P.T., - e
by thr rrieth,)d of Lur'e M Z, n. hipch. [AkA. Nauk
Appl.
5IRSP FriPt. Mat. Alf-ch.] 9, .353--367 (1945); thcst, Rev.
7, jO,)j J. G. Wen(fd (New Ilavcn, Ci.-mn.)
UMR/Mathematics - Berwomechanics SeP/Oct 51
"Limiting Values of Least Characteristic Tfumber
(Eigenvalue) of a Certain Type of Regulated Sys-
tews," A. M. Letov, Inst of Automatics and Tele-
mech, Acad Sci USSR
"Prik Matem. 1. Mekh" Vol XV, No 5, Pp 591-6W
Discussed problem directly affects quality of
regulation. In this particular case it is ex-
pressed as problem of least characteristic num-
ber (eigenvalue) of specified regulating system
(cf. A. 14. Lyapunov "General Problem of Stability
193T51_
UM/Nathematics - Servomechanics Sep/Oct 51
(Contd)
of Notion"; N. G. Chetayev., "Stalility of 14o-
tion," 1946). Although problem is not general,
this particular case is applied to study of
linear regulated systems (qf. Tsypkin and Bron-
berg, "Trudy NIS0," No 9, 1946; B. V. Bulgakov;
"Oscillations," 1949). Submitted 8 Feb 51.
193T51
_7
liw~l X-4
MAthematioul Rovioas theory of gyrusemicompasses.
A. M. On th~
Vol. 14 No. 8 Am[ MIA SYSIC ItiMiernyl Slxjrjiik 113, M lilt
Sopts 1953 (1952). Musbiall)
A 6 -Ili a%tatic gym-Aijim- with Illive
41 "gite, I)( ht-&-dom who-w axle is kept ne.ir Iliv platic I)( tile
I'mizoin. It is dc~ignvd fm titabilization Ili an agbilratily
th,,via atimijilitfircition ifuring a giveii little IAA
,
31161 01111MR011.11 Itilit-111.11 WlifrA' iS
01,1f 6! a filthl 11
($lit Will ill 0W dilt-Iti(Ill tit 114- bt.111ili/C01 11141 W110-4- C-.IXis
poilit-i Ili Ilic It-Ilillk Ill the okeivur. Lv( Of v: I't. fill- H"ll
%vi(h ille .11(flig the axit. .11111 Imilililig ill tile
tell"t. lot lowilivv vallics Ifor file killf-lic 811411144,111 11 id 111C.
j!Yiw-,iqk., .111d with tile x-axis al"lig list, axis I,( tilt- imiur
Cald.411 ling. Fullill-t-, ticilutt. by '11" At. tilt, Illmlivilt-i Ill
lilt- vX11.6'r folivs.w(ing aloill, till- %-, Y-axis rv~lm-tlivvly.
111.11 ill Ilw illiti.11 pinitioll of the g~F4.w.)JO, A (lie
;n. I.till 1 0 file _- . Ilw Y-. 1 -aws .1ii-I Ifir lm)Sili%'C
.11141 tilt- jity.itive t-axis 4-iiiiicidr. Aft--r rialsw of it
41.1 laill tillit. illit 6%.11 .1 th-viatioll of tilt, 1,1w fli'm lilt-
t Ifo,,vit dill-I liml will allp-al. 'I Ili-., 41('%i Ilion (-ill Im. I llmac-
i/. d Ly liv') 'I and jj, if 114 it, i, 1114- .1ligh. IN I viii-I it
(lie x-axis and its projectioll oil tile lip-plalle. .11141 a is till,
allylv IN[wrell this projection and tile V-Jxis' 'Ilw Ii.l'ic
ptublull ill the ilit-Dry of g Y1uWn1i('('f ill om"'Cki is if)
tile .111gl" U"d as functions of tile time.
The author considers two c;tses: (i) the five gyrtr-Aul"!
(At.-M.-O); and (ii) tile Ansclifitz azimuth
under tile action of tile inoment of Kravity
At, -migig cos #-kill (osil
of a ollafts ml al tile dilance to kill the lJords ell4hif 1114.
and of tile moment of gr,kvily At. .. FlIkEll sill if of .1 111AS'. IPIJ
at tile distalice It oil [lie negative Y-axis, file mollicills fit (fie
frictioii fmces bciiig icglected. Ili case (i) the atithor diow.'
that ally directioll'Aclermilled fly too. 104, Call be sufficiently
!accurately fixed fly tile axle of it gyt"-:c)lx! if the time V tit
obscrvation is sufficiently bmall; (lie accuracy with whii it
tile CIJO-A-ll dil"CCOOI) iS illdiCilttlf is dOetillilMl 11Y OW- di-VLl-
(iOll'; 41(114. P., 0) Mill ii(at, flo, P). Ill ('11-A! (ii) tile ffillowilli,
tht-ort-ins are proved. "I'lworem 1. At any falitude V mid 1,,r
Mijitrary ao.11. the axle of an itzimuth gyroscupt-, five tit
Iflictioll finces, 1XI(MI11H it regailar conlial pit-44-m.ifoll lVilil
11eritmi I' V.4141111.111c,latiml I/(,I tile
430, if. ;11141 lilt, parallickr and %di-di hill it
maximill levimifolis for a and 0. "1 11till (.111 2- Fig 1114. givi, it
latillide tile sel. of At azillitilli dill t lioll-i fol 1% hi( 11 dIr
An-Al4itz gym-w(PIK! admits devialimis ma vxiu,dill~~ Ow
Iff tilt' 11),
tit E. Leirlianif Wall(lill'.. I, It
LF.rov A. 14.
Letov A. M "Reliability of Regulating Syst m-a with Two Activating Organs,"
FFMIIV~; matmatika i mekhanika, 1953, Vol=e XIV, No 4, Paces
401-410.
Iz. Irci. AI X.
"Theory of Characteristics of 11onlinear Rwulated Systems",
Avtomatika i Telemckhanika, Vol 11f. 110 5. 1953, PP 583-596.
Discusses a ClaS3 of nonlinear re.gulated systems, descrIbed by the
equat, ions n
,-n
P,
'whc:- "rA,re%aidP
00 cLare constant paraneters, and f(er) is a li;rdted, six-Cle-
valued and continuous function (but the exception nay be inthe potntes.-I 0).
possessirC properties f(O) =-O andaf(ff)7 0 at /c-/70.
Onthe Lasis of 11. 0. Chetayev's method, established for cases of
linear T.Istcns (FriJ-.14dnaYa-INatMatJj-.a i XakhanjL& Vol 15, ITO 3. 1951)
a region of parameter values is fbund for which the darplM rate process,
described in the aforementioned systm.., wrM be at its r=Lm=,
(RWIelch, lio 11, 1954), SO: Sim, No* L9,3, 5 Apr, 55
Latov, A.!.!.
IeL' SVbifity of contfol systems with two regu-
-'s 4vt A, M, .. -.,r
W mile-Oveftf. Ak-ad. Nauk S-6k' Prild kl.o Mch 17,
401-410 (1953). (1-"U'"Jarl!
The equations de-scribini, Ow (-,mlrol F;vstern with two
regulating organs -Are
jA, M ibw;j4,nkj1,"i-n,aj, (k - 1. - - -, n),
(a) j-L
1, 2).
where are the controlled coordinatt-, ti the coordinatO
of the regulating organs, fjo) Viven continuous functions
describing thraction of the fil,q) -1), efi(cr) >0.
If one as,.iunie,3 the zcroi p~ c,f 1) t- h Arc distinct, a
line.-ir transformation r- -v if,dit, s- ArI41fli,:d fnrni
IX2-
j-1 0 VE ,e
-wher& the stjij, $q arc easily exprussecl in trvns of the codffi-
Cients of (a).
System (a) is gaid to be abiolutely stable if the, solution
is asymptotically qtat,fe no a attri, what the
rRTWrbations and the furictions f, are The author estab-
lishes uuffirient conditionc; for the aby)lute xtability of (a).
extending a criterion of LUr'e [rec thc book reviv%ved above]
which applies to switern,) with one ruviilatinz nrgan. One FCt
of sufficientcond it ionr i4: Rep, >0, r, I> 0. -1 r I jr?2 > (,,3 4. rii)
and the systein bf equat:otis quadratic in the ah
i afuji -0 (k 1. i- 1. 2)
J-1 pl+pk --
has a solution with as inany real in'] V0njL1j7,AtC Mm;)Ic-x ak
as there are rcal and conjugate cr-miplex numbers aniong
the p6. The conditions are provvd by exhibiting a "Lia-
pounoff function" V(r. cr) which is ptt~ilive for Al valuc-3 of
x, vs,10 anti whoF~A! tinic-dcriv,itive io, nev,itive for all flnic-
tionA x(l), a(I);e0 satirfying (hi. AL Golnmh.
A.11
SCIMVNIKUY, VJ.; /professor, doktor takhnichookikh nauk, redaktor;
AYZKRMAX, M.A., doktar takhnicheskikh nauk; XUHKrROV, D.A., kandidat
tokhnichask:ikh na ; IMCKMMO. P.T., kandidat tekbaletheskikh nank.-
YOWNOT# AeAeg kwAidat tokhnichaskikh nank, doteent; GOLIIIFARB, LS.,
doktor tokbntcheekikh nauk, professor; KAZAKIVICII. T.T.. doktor takh-
niobaskikh nauk; V48OVSKIY, A.A., kandidat tekhnichaskikh nank,
dotsentj IZRM, A.Ya., kandidat takhnichookikh nauk;
doktor fisiko-satematichookikh nank; professor; KATTIM, P.S.0
inshener; XIM*YIW, Y.A-, kandidat takhnicheskikh nauk; PSTROT, B.N.:
PNTROV# Y.Y&, kandidat takhalchask-Uh nauk: POMU)V. G.S.. kandidat
takhiLichookikh nauk, doteent: TOPCHNYIW. Yu.I., inshonero, ULAXOVq
G.K., kwAidat takhnichookikh asuk; KHRAMOY, A.V., kandidat tokbni-
obaskikh nauk; TSMINO Ya.2. doktor tokbnicheskikh nauk, professor-,
L4)SSIIAV IY, i.'L., doktor takhniohookikh nauk, professor, retsonsentl
TIKHONCW, A.Yes, tokhnicheskty rodaktor
[Pundaxantalo of automatic control; theory] Osnovy avtomatichookogo
regultrovantia-, teorila. Kookyao Goo* natichno-tokhn. Isd-vo wwhino-
strolt. lit-ry. 1954. 1116 p. (MM 812)
le Chlon-korrompondent AN SSSR (for Petrov. B.N.)
(Automatic controll
Ussit
Duvakin, -A. I
Wli, On the btabi
and 4Le
My,
orXans C,
rogulating system w t o organs of regulation. Akad.
a
-
-
Nauk %SR. PrikI. Mnt. Meh. lk-10
79
(1954).
(Rumian)
The systems under consideration Art- described by the
equations
(n) Y- 1,
4-1 1-1 &-1
where the ba, vo, Cj%, am constants, the matrix (ba) has
distinct characteristic values X, with Re X, 0 for yodD. The
nuthofs construct, by Malkin's method ['17heory of stability
of movement, Gostehisdat, Moscow-LenlnRrad, 1952; these
Rev. 15, 873) a Lyapunov function for system (a) from
which they derive a sufficient condition for the asymptotic
1
sLability of Its wAutiong. Alao considered is the case where
two of the A, are 0. Af. Golomb (Lafayette, Ind.). 0,4-
j.) I e k~s vor j
7-
Lctov A~. llstolNvost' nehneinyll regulirurnIvIl
of tionlitlear confrol
if
tv, 2o, 5 t Oin.-Tvor. Lif.,717, ow 11;"S i;
2. ij
~ I -
puf;~;zx of thk b(H)k is to acqu,*k1int "a Wilk circle,
(if specialisi.4 working III Elie field of autumma -4,4% tile.
p)Z'sibilitie,, of vff"'Itv'. tibli/Miml of Ow dirvrt al"Ill"d
I)f Lyiipmlov ino till, ~J)Illti'ln otf the ff.rC111041 IWA&m- III
the tllttf)IY of 4,1,1411"1 It Is jooml(q 'out
t
hat the hook ~J)ljLII(J h~ 11"ll-fill to; 101'I'llis 'ond ..'p1
mill'.5" it) tile fi"I't of 1,1JIIrOI Mod 6
rlleclmnics~ The 1 1' of too Ow prvso:nt.It1'-~Il "f
IVStIjt* cobtaincol of, c~oidt- b,,, R11"dAll
*
11C ;IV
oil t1h e ;or, (of i
I W
and the dvgn '.' of stat~ljit~! 6f ct'litrol sy"t. jni~ BY
ilite" Stability is; unuAt SUAIllity wlic-rv a function '~t Ill( h
cfmractorrizf~'i III(: Ivgulmot Is mot
but is hIIrj*.[1 I() to S~Illw ch-~..' of functvm~ I lie
'Arg'Lst clatzi, (of tu c')tvidcud is Ow
n0i"r.
ifv~ryibf-4 N-lws, All mi-11-11'
'111d
awl thrit apvhcmirni 6-pen,b, ltp,rk ow tion i;t
d1'-('t)%'erv (if -mihbli~ p')" itiNr defillit" fill;( It e-
11111j"I p-at of thc 0, 11, v,,,tt~sl tt, w:-o,e,&; f,,r
thc ill laritivi,
"llitabl" Icir the d"-"3vf cr-titrol wJ
to tl~:c illilMration (if Itictlyof1s (lit s1",( ifir vxanqil~
The differcriual "Juations of thp (witiol s)"A"rus a1v
tht~ following gcncyal tyjx--:
buyfii-no
n, fir5t ii, f,-, ow sytvm
alkil the wculld Cqualit-in is th;,A of th,,., rtizuIxt(,r.
Ow noll-'AMP.D.0 V C 11; JI%7cfl~~ A lifi. fiv in 01,11A,~ r
X1 Fli- fmwli~- i (it t~, I- io.idirw.ir Ili, re,,irtrit!,j;~ .It
/ are t,,r aritz, ~ * -, - I/ ( % ) 0 b,~i ~i! - t* ii~d i/4,) - J f, r
1~1 _- - S'. Lfl, I / I ! C,11 (III 'I- w; for 1 5 1 '1,- 1 ]:1,-, of 111
such funct"oo, i i tki. I I v, , JA) tf.f,-rrvd t () altf,vc - T lie
Chapter laadirq'. 11, 1) E.quatv'n A .1
control sv.itcm t.4 Ow iw~W~-m of ~Aalliltt%
11) Fir-st canomi-al form of Ow of -ovir"I
an"i tfjll~lc do i
Ity 1A, M
Stability Vl~ loltu 1
VII) Provr.IfI1111i I I V1 11) h-t)1! In IA yJAII y
of
-.I) Pr.,b1!A!v, in th-.. th,-F'.
c,,ntrol Sy-itf ri,,,; \1) :-~tjjIjity g:f j),pIj-,t4jj4;NAT v 11'0 1t1( I
t-- r rov , 9, ^
TI 6 1 oci;ti I ('. x.tall,14! 11 to I I It IAt "tc. t Iv- illo h~ I t: i.5
I I P' t i._ U ~ I- h 1 0, rf -Ind
III, booli. c~ a pl.'m. :!!;If -,tinn'takilirly
tfv~foln:h fl-tft~'7 ?n of Lyapill1wr Is
(hrort int4lind. Tlic rn,ttlvmmics oclint-lof th.-rc-a4pt is
tho advallt-igs.. t~) Ow jwr:;.,n to apply 01C.
residis that Ow Ito-mulai art, No mArix
c;qwnical f.,lrru th,w, M, are vv~od, tmf tht- tran~~t~rm;lfion
of the bksi~7 difirm. t" tjv! v'Xiloti,; ( anoriicil
forms ;m(I flll~ romplitation of tho fl.ml,fl-livilirri-, Irv
(I i WU ;-,,A ITI WTClt f1flilil, Ajl)-~t 4)f thi-, B, Of i
o ti:-, t ~, f v n fwi t I i I i f,- o for ,v Ij h v.
AMINO, M.A., doktor tekhnichaskikh nauk, rodaktor: YOROIX)V, A.A., kandidat
tekhnicheakikh nauk, rogdaktor; KOGAN, B.Ta., kandidat takhnicheoklkh
nauk, redaktor; KOTZLINIKOV, Y.A., kandidat tokhnichookikh nauk,
redaktor; LLTOV, A.4., doktor fiziko-meditainskikh nauk, redaktor;
LOSSIY",SKTr,'r.'Tr*'-dbktor takhnicheskikh nauk, redaktor; Mlr=Y,
M.V., doktor takhnichaskikh nauk, redaktor; HAUMOV, B.N. redaktor;
PSTROV. B.N.. redaktor; SOIDDNIKOV. V.U, doktor tekhnicheskikh nauk,
redaktor; TRKPIZITIKOV, V.A., rodaktor; KERANOT, A.V., kandidat
takhnicheakikh nauk, redaktor- TSTPKIN, Ta.Z., doktor tekhnicheskikh
nauk, redaktor: VORONOV. A.A., redaktor; PIVZNZR. R.S..takhnicheskiy
redaktor.
(Proceedings of the Second All-Union Conference on the theory of
automatic control] Trudy.vtorogoVeeodyurnogo soveshchanila po
tooril ^vtomaticbeekogo regalirovanlia.
(Continued on next cara)
I
AYZM.LQI. N.A. doktor takhnicheakikh nauk, redaktor (Cont'd) Card2.
Vol-3 [Methods and means of experimental research on systems of
automatic control. Bibliography on the theory of automatic
control and related problansj Hatody I aredstva sksperimmntallnogo
1seledovanita sistem avtomaticheskogo regulirovantia. Bibliografita
po teorit avtomaticheskogo regulirovanlia i smnzhrym voprosam.
1955. 351 P. (MLRA 9:1)
1. Chlon-korrespondent AN SSSR(for Petrov, Trapeznikov) 2. Vss-
soyusnoys sovesbehanlys po teorit avtomaticheskogo regulirovaniya
2d, Moscow. 1953.
(Automatic control) (Bibliography--Automatic control)
ATZXDW, M.A., doktor takhnichookikh nauk, redaktor; VORDNOT, A.A.,
kandidat takhnicheslclkh nauk, redAktor: MUN. B.Ta.. kandidat
tekhnichesk1kh nauk, redaktor; KOTILINDWY, V.A.. kjandidat
tekhnichaskikh nauk. redaktor: LITQY.-A.M. doktor f1siko-mats-
maticheskikh iauk, redaktor: ITRYSiff".Y.L.. doktor tekbni-
cbesilkh nauk, rodaktor; KgYMOV, M.V.,doktor tekbnIcheskikh
nauk, redaktor; NAIPMOV. B.N.. redaktor; PBTWV. B.N., redaktor;
SOLODITINOV, V.V..doktor takhnichaskikh nauk, redaktor; TRkPXZ-
RIMY, V.A., redaktor; XMIAWT, A.V., kandidat takhnicheskikh
nauk, redaktor; TSTPKIII, Ya.Z., doktor tekhnicheskikh nauk,
redaktor; PAVZNZR, R.S., takhnichaskly redaktar.
[Transactions of the Second All-Union Conference on the Theory
of Automatic Control. Trudy vtorogo Vessotusnogo soveshchanlia
teorii aytomaticheskogo regulirovanils. Moskva. Vol.2
problem of quality of drnmic precision in the theory of auto-
r
matic control] Problew kachostya i dinanlchaskol tochnosti v
toorit artomatichaskogo regulirovantia. 1955. 536 p. [Microfilm]
Niju 9a)
1. Akademiya nauk SSSR. Institut aytomatiki I telemakhaniki. 2.
Chlon-korrospondent AN SSSR (for Petrov and TrapeznIkov)
(Automatic cnntrol) .
ATURMAN, M.A.. a:)kt. tekhn. nauk, radaktor; VOROHOV, A.A., kandidLat tekhn.
nauk, redaktor; KOGAN, B.Ta., kandidat tekha. nauk, redaktor;
KOTZLINIKOT. V.A,, kandIdat tekhn. nauk, redaktor; ISTOY, A.M., dakt.
fiz.-mat. nauk, redaktor; IMZYIVSKIY, V.L., dokt:"tdxIM.-DfIrijIIIc,
redaktor; KHRAMOT, A.V., kand. takha. nauk, redaktor; TAAMNIKOV,
V.A., redaktor; METZROV, X.V.. dok-t. telchn. nauk. redAktor; SAUNOY,
B.N., radaktor; PZTROV, B.H. redaktor; SOLODOVNIlrOT, V-V., dokt.
takhn. nauk, redaktor; TSYNIH, Ta.Z. dokt. te),hn. nauk, redaktor
PZVZM* B.S.. takhn. redaktor.
[Noceedings of the Second All-Union Conference on the Theory of
Automatic Control.] Trudy Vtorogo Yeasolusnogo soveshchantla po
toorli avtomatichookogo regulirovanlia. Moskva, IzA-vn Akad.
nv'41~ 5=.[Vol. I Problem of continuous and periodic operations in
the theory of automatic control].Voll Probleme, ustoichivosti I
periodichookikh reshimov v tooril sytomatichookogo regulirovanila.
193.5- 603 P- (KW 8:8 )
1. Chlen korrespondent AN SM O"or Travesulkov. Petrov) 2. Alm-
dem*-& nauk SM. Institut avtomatiki 1 telensIdwaiki,
equations CARD 1/4 PO - 53
AUTHOR LETOV A.M.
TITLE of inatationary motions in control systems.
-PERIODICAL Priklad. Mat. Ueoh. 19, 257-?64 (1955)
reviewed 6/1956
The author considers u eontrol system the motions of which are described by
the equations
n
Z IkJ Jj + nk f (fS
J-1
n
FJ p 'I
J-1 i
Here I k are the generalized coordinates of the object of control, f(d ) a
unique, bounded fup~ction which is continuous except perhaps for G' - 0 and
with df(d)>O for 6'J 0. g is the coordinate of the control mechanism.
For constant b , n,, and pj the stability of such systems has been investi-
kj
gated in detail by Lurje, Malkin and others. The author is interested in
the case that bkj and nk are given functions of the time t in 0 6 t4T
~rfklad. Mat. Mock. j,'L 257-264 (1955) CARD 2/4 PG - 53
-(T positive or T - + oo) and asks for conditions for the functions Pj(t)
which guarantee, for arbitrary f and arbitrary perturbations# the stability
within a certain domain R ( the notion of lLbsolute stability is rigorously
defined). For this purpose he transfers the system (1) in two stepat
1) If it Is put n
F-Pi li-
j 1
and f eliminated from (1), then with new notations the system
n n
(2) ~k bk' 7j i- nk67 -jj jj f
J-1 J-1
is obtained.
2) Let n
F F, aij i tI j
J-1
be a real positive definite quadratic form with constant coefficients, which
satisfies the Sylvester conditions'an arbitrary positive real number.
Then new coordinates are introduceds g
n -f- 5 2 . F2+ g2 e2
(3 F1 aik Ik iiSi V
Priklad. Mat. Mech, j.2_L 25-1-2064 (1955) CIRD 3/4 rG - 53
This is a continuous one-to-one transformation which can be dissolved to
the former coordinates. By differentiation and elimination of the former
coordinates n + 2 equations for V, are obtained. The system
possesses an intermediate integral. of the form
(4) A. C + ~2
ra 4r Ks
which represents, since all the Ara are positive, an ellipsoid. The
quantity V can be considered as a non-euclidean metric of the space of the
11P ... P-In"e and is equal to the square of the length of the vector from
the origin to the image point Int d). The'S. are the direction
coefficient# of this vector. Now the image point M in the phase can be
considered in order to obtain conclusions concerning the stability of 0).
It follows that a necessary and sufficient condition for the stability of
(1) is that a certain function W on (4) only takes positive values. There-
fore it is sufficient that the Hurwitz or Sylvester inequalities for certain
determinants are satisfied. The function W is of the form
n n 2
W 71 Bor ~;s Sr + 2 F qsw5t HS
S,rol Sol
Triklad. Mat. Mech. 12L 257-264 (1955) CARD 4/4 PG - '53
where Bor a and H are definite functions of the coefficients of (1) and
of F.
For the example
T2V + U K Y + 0. f OT
2 1
a 4-g Y 1.
with variable coefficients the author carries out all the calculations and
finds the boundary of atability to b& a parabola, situated in the first
quadrant, which doubly touchbs the axaz of the coordinates.
UEATOV, A. M. Prof .
"The Stability of "ontrol -57stems with Delayed Feed Back," a paper read at the
Convention on Control Technique, AA eidelberg,, 24-29 Sep 56.
Inst.Automatics and Telemechanics., Moscow
IZM, A. M.
"Application of Direct Methods of A. M. Lyapunov in the Theory of Automatic
Control." A paper given at the conference on Control Technology, Modern
Theory and Its Appliclions, Heidelberg, 25 to 29 September 1956.
LETOJ, A. M. (Prof.); LU.0YEE, A. I. (Prof.)
"Theory of Stab-11ity of Non-linear Systems of Automatic iegulation,"
paper read at the Session of the Acad. Sci. USSR., on Scientific rroblems of Automatic
Production, 15-20 October 1956.
Avtomatika'i teleriekhanika , no. 2, p. 162-192, 1957.
9015229
KHRAMOT, Aleksandr Vladimirovich; LIITOVO,A-,.&tx-otv8tqtvennyy redaktor;
"gr
BUI4AKOV, A.A.. redaktor is ellii'vi'; iISSLIVA. A.A., takhaicheskiy
redaktor
[Historical skatch of the development of automatic control in the
U.S.S.Re; prerevolutionary period] Ocherk istorit raivittia avto-
mattki v SSSR: dooktiabriekly period. XoskTa, Izd-vo Akademil
nauk SSSR, 1956. 219 p. (KLaA 9: 11)
(Automatic control)
TOPCHIM, A.V.,akademik, glavnyy reduk-tor; PATROV, B.N..otyatetvannyy
redaktcr; AYZXMN, M.A.,rodaktor; BXRNSHTNYU, S.1.,redaktor;
VASILITNT, R.Y..redaktor; IYANOV, Y.I.,redaktor; KARAGODIX, V.X.,
redaktor; KOGAN, B.Ta..rodaktor; &COV, A.M.,redaktor-,
PORTFOV-SOKOLOV, Tu.P..radaktor-, SOLODOVYMV, V.V.Predaktor;
ULANOV, G.H..rodaktor; TSUPKIN, Ta.Z.,rodaktor; IMUTOTA. I.N.,
redaktor; ASTAYITXVA, O.A..takhnicheekly redaktor
(A session of the Acadeaw of Sciences of the U.S.S.R. on scientific
problems In automatization of production. October 15-20. 1956;
principal problems of automatic control] Sessila Alradewil nauk
SSSH po, nauchnym problemau-avtomatizateii proisvodstva. 15-20
oktiabria 1956 go; oanovnyo probleuW avtomatIcheskogo regultrovenita
I uprAylonlia. Moskva, 1957. 334 p. (MLRA 10:5)
1. Adakemiya nauk SSSR. 2. Chlon-korrespondent AN SSSR. (for Petrov)
(Automatic control)
Ity tLn! -.iAit7 of nordlre&r automatic crrtrcI
to 1 -1 nauld: Tekh. nauki no-1:7-43 '3"- Ok.
(Autoratic control)
SUBJECT USSR / PHYSICS CARD 1 / 2 Pk - 1995
1UTHOR LETOV,A.M., HAUMOVtB.N.9 RACESViT.A., CYPKIN,JA.Z.
TALE 1%e Conkftsa on Automatic Control Hold at Heidelberg (German
Federal Republic).
PERIODICIL kvtomatika I tolemoohanike 18 fame-1, 93-96 (1957)
Issued: 2 / 1957
This congress took place from the 25-9-1956 to the 29.9.1956 at Heidelberg and
was organized by the department for control technics (president Dr.Grobo) of
the Society of German Elootrotechnio/Enginsering (VDE/VDI). The congress was
attended by scientists of international repute. Most of the participants, prac-
ticians and theoreticians oame from Western Germany. The USSR was represented
by a delegation of the Institute for Automatics and Telem*cbanios of the
Academy of Science in the USSR under the leadership of A.M.LETOV. The Soviet
delegation had the following instructions: a) to take part in the congress,
b) to establish contact with foreign scientists taking part In the congress as
well as with technical engineering circles, o) to visit several firms. Soviet
cooperation in the congress consisted in: a) lectures hold by Soviet dolegatoot
answering as well as asking questions in the course of discussions, b) partici-
pation in discussions concerning lectures delivered by delegates of other
countries.
Organisation and work 2orformod by the congress are both described an being
good; The texts of the total of about 70 original lectures were submitted to
the organizing committee already before the congress was openedl they were
AUTHOR LETOV A.M.
TITLE -MMITTo-n-ally Stable Control Syotemri (concerring a Certain Type ~.f
Optimum ControlAble Systems).
(Usloyno ustoychiv,7ye reguliruyemyye si temy(vb odz;r,.u klasse
optimallnykh reguliruyemvkh sistem)-Rus:ian)
PERIODICAL Avtomatika i Telemekhanika,1957,Vol 18, Nr 7, pp 6o1-614 (U.S.S.R.)
ABSTRACT A strictly linear system of an automatic control is inv tigated
the condition of which is given by the vector x a X(Xo:to) and
which is asymptotically stable in relation to the obvious solu-
tion x--O. The author assumes that the system parameters were
selected and fixed according to any existing conception of the op-
timum of a linear system. He also assumes that e in the time of
the dependent fading of a transition process i.e. such a number
for which the condition Jx(X0,t)j