SCIENTIFIC ABSTRACT SMIRNOVA, I.M. - SMIRNOVA, I.V.

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SCIENTIFIC ABSTRACT
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SOV/124-57-5-5178 On the Stability of Approximately-determined Periodic Modes (cont. ) 13, pp 151- 160). Approximate equations of the disturbed motion are derived by the harmonic -equilibrium method. On the basis of an analysis of these equations the author derives the approximate conditions of stability of forced oscillations, comparing them with the conditions adduced by L. S - Golldfarb (loc. cit. ) and A. I. LUr've [Nel-oLorvye nelineynyye zadachi teorii avtoniaLicheskogo regulirovaniya (.Some Nonlinear Problems of Automatic -control Theory). Moscow- Leningrad, Gostekhizdat, 1951, p 2161 indicated for cases of self-sustained oscillation. The author sLresses the point Lhat the indications adduced in the text determine the stability Only under certain specific assumptions, e.g., for systems, differing little frorn linear ones, which are derived for the border of the stability region by means of a pair Of purely imaginary roots. N. N. Krasovskiy Card 2/2 USSR/Matheinatilcr Re,~,:ulation theory FD-i674 Card 1/1 Pub - 10-10/11 Author Smirnova, I - 111E. Title ChronicIcs. Seminar on the ri,.athematical problems of the theory of auto- mAtic regulation Periodical :oAom. i telem., Vol. 16, 111, Jan-Feb 19519 Abstract Afte-r a year's interruption operations have been renewed by the seminar orSanized by the Institute of Mathematicr, imeni V. A. Steklov and by the institute of Automatics and Telemechanics, which is devoted to the mathe- ruaticall Troblems arising in connection with the development of automatic regulation theory. In the first session (22 Sep 1954), engineer B. L. Korobochkin (Machine Factory imeni Ordzhonikidze) reported on problems on hydra,LLlic servosystems of copying machines. In the second (20 Oct), Prof. Ye. P. Popov (Leningrad), doctor of technical sciences, read the first part of his report on harmonic balance applied to approximate studies of self- excited oscillations in nonlinear automatic regulation systems (cf. DAN SSSR, Vol- 95, I-To 5, 191,1; Izvestiya All SSSR, ON, No 5, 1954). The third (3 Nov) was devoted to the report of Yu. I. Neymark (Gor'kiy University) on the stfoject "Periodic motions of relay systems of automatic regulation.' In t'l;c fourth session (17 Nov), Prof. Ye. P. Popov read the second part. Institution Submitted USSR/ElectrJe-Ity - Regulation FD-i675, Card 1 1/1 Pub. 10-11/111 Autho- : Smirnova, I. M. Title : Letter to the editor Periodical : Avtom. i telem., Vol. 16, 112, Jan-Feb 1955 Abstract : In her article "Approximate investigation into the conditions for stability of periodic regimes in automatic regulation systems," published in No 2 for 1945, same periodical, an error was noted by E. M. Son.echnyy in the formula for the coefficient b2n-1 (page 106), which led to an incorrect construc- tion of the limit of positiveness of this coefficient for the case K(Jw) not constant. The correct expressions for the coef-ftbients bi are given in the preient note. Institucion Submitted T( 8 2 S 011/10' - 2 1 - 2 - AUTHOPS: Ily-e-rilail, M. A., Gusev, L. A., Rozonoer, L. I., Si rii i - i io v a'. I.M., Tall, A. A. TITLE: Pinite Automatono. I PEHIODICAL: Avtomatlka 1 teiumeiaian !Ica, P.O(Y Vol 2~' Nv 2, pp (Ussfi) f A1!j.';TRA(,'T: ThO aL1tA1CW0 )"IVO fAielv pulnL LC view on the tiieorr ot, I IV CinlLc auLomatom.;. A I'IiilLe auwmaton 1;~ (IeClned ao 1-t dynamical jyotem which at certain di6crete moinciftL; ~iati.-;fleo the L'ollow1rig conditionLj: (1) Tne 6catc oL' the swotem ij selected from a finite IlUmb(-~p '~ oL' po~3~;Ible L;tate6 (2) The ~;tate of the it,,put to Litc, ziystem is ;ulect-ed Vrom a f-in-ite r,:,,Jmbef, iripLit (3) Ti-ic statE of 11-he ~;ystem at, unY coii.;idered moment l.; defiti,:A bay t1he ';ta'(2 Of 'UhC ~3W-LAE,Tn and 1-v, state ot' trie at the 1wec-tdiii,,~ moment. The Colluwltij~ are introduced. Ca--d 1,' 12 (a ) 1' 21 ' * 'I are sl--mboI3 G1' k po:;LAble sYstems T 77828 of states. Their totality*,i.. is called a state alphabet; (b) Pl, P2"'" P2 are symbols of the r, pc);;3-lble Input states. Their totality( PI is called ail liiput alphabet. Act-or-ding to the condition the operation ot* a Cinite automatou Is described by the ex-pression , (/,) - 1. 1, (f, -- 1) - !, Q, - 1) 1, vineve P ij a function witli a sinCle value. The abotract-Lon introduced by the concept of "finite automaton" singles out a class of systems in whic.~i the processes are described riot by differential UCjM11U-'ions but by 3peclfic equations of type (1). A CInIte autotriaton may havej(f 1c) possible (1-ilitput states designated aL; A, 11 2' - - " X, or, lit t.neiv Lotality deoignated aj an output alphabet- 1:ui,d 2// 12 ~ \, J. in case or an autoriio.ton with an output, by a:.; Tnis table i3 called the ba6ic table oi' finitc- autorna"Unon and may be :3et it) in, tne followiti,,, mariner:a of s zelected from alpnabeto !, PI and ,iI )'/:Is~etermines Card 3/12 one case In tine table flosumino: tai~l ;~Ynlbol pailr az t-)U S 0 V/I 62 1 - 2 - P(p-1) arid V (p-1), arid sinL; Eq. the val-ae o (p) may ~e. determined atid wr,itten fov the above Equation (2) also '~iie6 a table "I. Ford a oeieuted ~,oq,iccice uL' itipuiL slinibl, Table a u u e ri co f.3-mbo's -n e L Eq. (1). In uili~,; band then2 is a co.- 2 S07'7 P I.LILd Je' 1'01' Q~ICil 11'10111eiLt, t. The band 12 called a L; t la t e band . Thi-ec- ~;ymbol;;, Y (p-1), P(rj-1), und Y-(p), d (2 C 1 11(2 d b.tf , J."-f .(1) by a h(--,Avy on T: I. I jl 1 1, J) ,Tlwy alv a trtad wIl(---rI Lill.- 1.,~ (It'I'llic-d I)\,-' Et I .( I ) L I Id )';(,I .(I ~ ) ,theii an wit-11:1 L, baild a,; L,t-,pvc,;cnLecI by Table 11, niu.A. ah;o 1)(2 (.1 c) i -t ~;I d c- id When, the input --tate doc-L; -lot vary witri time ti-,e automatoa IL; called LILItOlIOMiC. Equation (1) for thi-, cz-Ije haj tile I,ovai (3) ca L'd 5,/ 12 F.I.-ite Automatons 1 77826 SOV/103-21-2-~3",, w i 1 e ,-. eP(()) lll,,Ltr be "I 1~:ivafneter. The op.-l-utioll 01. ;Un all ml-ly be vepvesented I-)"" L poIALL',; to SySteM mid t-c-prejen't-d bt, lur-c-ow.,; wiilch show th, Lrection C d-L rvorii ont. poLnu tLhe othev, In accordance w 1 t, i Eci . Silicto "L flolla',.luotiomic automaton lia-, v- inpul ' 6tat, ~1, It. 2uii be rcpvejenLt,,d by r various autonomic aut.umai,(.)tL.s. ;zr,cjer~ '--he aossumptlot, tliat the r input iitate6 clo not vavy. Me totality of L- gi~.----iphs ilepre6enting the above. aUtOnr.)ff).lL(l illutarnatono ciiavac~erizes the non- autoriuriii,2 w.itorwatori. Plk!,ure 6how.: an example of a t(Aallty oi' Craph,; G/ 12 UPI-j 0 Vil 0 2 1 Tabic- b" Flj_'. 1. TA d F N J-x P3 The illtPOdUCt"Oll Of the COW;Of,)k, "firilte autonlatol-i" po,ses a sevies ol' pcoblemo The bando repre~;ented by Tables 3 and 4 ZIPU U:JSUrned to be inl'inlte arid cannot bc7 i-;elQcted. Selected ave the alii-l-or-ithms which Lictennine the oyinbol Vor, aiiy ca~;e o-V an int'initc, band. Foil the band r~epr-eL;ented by Tabl(2 3, ti-,e covreL;pondirig to tirle Lipper, (P ) and to tiie lowei, ( j,' n a A and A, rezipectivel-- liiic, are desii~ ated L; p "d 12 77 82 8 Similailly, .4 P and A X are t1ae al,,',oritnms oi* ti--e OUtpUt band, represelited by Table 4. For a --iven automiaton, trie analysis, i.e., tne de term inat ion of Ay ov A in accordance w.'th A does not represent any ;3cienuil`ic oroblem. On thepcoIntrary, ti'le 2ynthesis ot' an autumaton, i.e., CindIng the E(J. (1) irrorri the -.,i bard posco several problems . When A ve aild AP ai~u known, vhe firz3t problem coi.isists in finding and A are not con- an -ul~,,ovlthm pi,oviii,,- that AP tradictory, i.e., there are no contradictory triads In the band. Two triads are contradictory wrien their S 'Mbols p(p-1) and 7~,(p-l) are U-ie same., but when symbols -V'p) are different. When A and AX are not P contradictory, an algorithm must be found determining C:~ all various triads of the band. Synthesis corresponding to the outpu t band is a m(,!, complex problem. Here A P k now - - LI I aiid A X are , n and the .;,Rber of sta"es V and 'unction 8 28 SOV/103 -21 -2 (43 in ELI. (;~) have to be deuevminea. it is 2tated that ill CELOC. 01' fill-LILO utate and output bar-Ldj, t.tie 6ynthe~31o problem becomes le6o complex'. To dl~;cuos the o,ynthej-Lj problem, the 1'ollowln,, -.wicf-~p'L13 are introduced: (1) The Swrllboi convc-l'tel.. Thl.,, i.; an a~-)~;tvact ar-raniL,"emerit pt-!v1'ovm.1ti ", Lke Urait~jt'urriiatlon del'iiicd by Eq. (2), (2) Thc 11-*quLvalent Autumatoiu;. On P-1g. 2, atuomaturi Fl~~ . '22 Card A i6 Opt~val:iiiL,.- accoi-d-Di. Uo the state a1pnabet f a 'p'habet and til Otate a -L thuL two';iyr bul ,!onverter~i cioz: alp:iabetfCL and ALItomaton B has t-e irput It is assumed alphabet ~b~ . Cap) and ba may be selected Fit-, i ~,E- Au ta torts 1 7 7 82 6 SOV/!Oq -21-2-01-/-1 L in suc,1-1 a manner ti-iau for any sequence of inpu'.1; symbols frcmICL the SeqUence of symbols from 'he alp'nabet a at tiie outpu.t. ot' the combined system CCLP ) BI. -Il be the same az3 the sequence of 6'tate/-~17mbols ba~ w" in .4. In thiz.; case It 6aLd that B 'L6 an -Imaz~e of A and inay be viritteii us. B, When at ~-;ame tiri-ie, A-/;.I.-I P, t!ien A urid B are equivalet-it automato,, 'z3 (3) Tne AbLitvact 'Structu-e of a Finitc Autoul,atoii. An al,rangement of 6 inrjut iliie~3 u, u at,.d cf n, --enevaii-zed c o, ~~ sd er - e, dAt momeiftus coor-dinat,es x, ... ~P3 -aiid ea,-- Co~,,,.,diltna~e ;,,az3 (,-ai,d 10/12 I r 1Y u; I t1) 1, 11 L 1"-, 11: mjl)~IV. IJ ZI 1-2;--, Tht: Yi (p) . . . . ... 1.611 ~LIKAIW Pt'01'111 j1' LIAI T, u I Cquatioll of ""Ype (1) cor-ve~;Pond vaf~iUL; C(4LIat]LUIL~:; Uf t I l'-, t. Y p (~ (U) .Tj ie L I -a i I -,-I i t i o i i f i - a m Lq I )t 3t- h e equivalc!Ilt E"jj . (b) 10 callc'd a ULC ~jtructu.C-e OC a CLILUC ZlUtWW-ItOll, and Eq . (6) thera~;elves are clall~~-d an ab2tvacct StrUctuve (.4"S) of a finite amitomatori. (41) Tii~, Net .Tnis iL; a totality of AS, intei~eom-iected 'I).,, uIean~; of z3ymboi coIve-ter~; .Based on tne abtDve conceptj, the aUthOPL; al-vive at t~-ie conclusiqi. that a finite automullozi may be designed bY cornbininE -'Lnto a net other L'inite autotuatuns. The de~3ii~n of a rtiultitude of automaton~j from a z.;inall ClUmber.of initial automaton- ff elementis" is called ab6tract a~,gregation. A t3et of AS and convei,Ler;5 i6 called complete, when b mean-s ot ti,,1:3, 3eu the zieLwoi~ks desio-ned ai,e irnage6 or.azw selected C-u--d 1- 11 Finite Automatons. 1 77828 SOV/103-21-2-8/14 automaton. A technically very important complete set is set-up of the following elements: ~a a binary delay elemt-:nt, described by the equation x~pi =. z(p-1), where ,: and z are selected from an alphabet comprisinc, only two symbols, 0 and l.for example; (b) a set of logric elements enabling perfol-mance of any lo~;.ical 'D function. It is shown that from the above set a net may be designed to be an image of any finite automaton. (To be continued). There are 4 fig-ures; 6 tab-Les; and 25 references 17 Soviet, i French, 7 U.S. The 5 most recent U.S. references are: Burks, A. W., Wright, J. B., Theory of' Logical Nets, Proc. IRE, No. 4 (1953); Huffman, D. A., The Synthesis of' Sequental Switchinc, Circuits, Journ. Francl Inst., Vol 21~ , Nr 3, 4 (19510; 57 Burks, A. W., Wang, II., The Loj~lc of Automata., Journ. Assoc. Comp. Mach., Vol 4, Nr 2, 3 (1957); Davio, M. D., Computability and Unsoivability, McGraw Hill, New York (1957); Copi, I. M., Elgot, C., Wright, J. B., Realisa- tion of Events by Lo,-,ical Nets, Journ. Assoc., Comp. M,ach., 5, P 181, 111r 2 (ic,)~7,8). SUBMITTED: Julle 10, 1959 Card 12/12 (,~Y! b~ '.'C " /11) -11 -11 '-1-11/21 Au~ M. A., Gu2evy L. A., Rosonoer-, L. T-j Tal'', A. A. Moscow) T ITLE Finite Automatons. II. PERIODICAL: AvLouiatllca I telemekhanika, 1960, Vol 21., Nr 3, PP 359- --68 (USSR) A113MHACT: Dle paper Is a continuation of the article publi3hed ill ItAvtomatika i telemekhanika, " Vol 21, Nr 2. In Part II of this article the following problem is diSCU83ed; an automaton A', operating at a selected CD pace of time, T' Is to be formed out of automatons A, operating at a different pace of time T. In referring to Part I of the paper, it is shown that this may be obtained by two methods. According to the first method,' Z delay elements, operating at pace T, are connected in series as shown in Fig. 1, Card 1/4 -8165 SO V/1 0 2 1 - 3 - 11/221 . ..........I............. l'orming, a delay line described by equations x, (14 := zn~ (1) --- 1), X .1 00 ~- :'-,, (1, - - 1), . . . . . . . . . . X1 (P) ~ it (P -- 1). The number -9 is a positive integer. It is assumed that pace T is represented or, the time axis b X equal intevvali-3 -r and pace T I by equal intervals 1 'r. When an automaton Is designed by the aggregation method in such a manner that the delay element with pace T Is everywhere replaced by the above described lines, then the resulting automaton still operates at pace T. However, by registering the Input and the delay line -on after only 7 sec, Cat'd "1/4 outnut ymbo.1-9 of this auto,-.iat F i i A,--~ t 111 78165 SOV/103-21-3-11/21 t~!'ie automaton with the desired pace may be obtained. 'I"hi-, Sec"-itil triethod is applied to an automaton A, which'r the "he mc!rrierjr- 1-1 () assumes an input state P 0 remaining constant until t 1* During time t fl-hke automaton operates as an autonomic see oart I a. uo rrt a t" c n At t = t 1 the input state cnanc,es to P 1 and remains constant until t t 0 2-1 P ~.Nus dei'.-r-Lng a nevi autonomic automaton. At t t2 s-ta,~e changes to P 2` etc. Under the assumption P I C, f.r`lat ~he input state P and 'he states K (t) (see part I) t ... I tij ... 3 are reg stered only at times t 0 , tij 2-' art avit-c-Tiaton A: is obtained and is based on the equilib- rio-m! of autonomic automatons. The pace T1 of A- if~ def'ined by t oil t 21 etc., and does not depend an paz~-- ~-f the automaton A. It is shown thall~-. the Card -Te-~hods may be applied to neurons and to F i n. it e ~a!-l 78165 S 0 r~lay-ont.acz; systems. By neuron is meant an -Ie~rter.-- a finite number of inputs and one 'The input and output states are desig-: na,~zeld ~--nbois from the "aiphabet" 0,11 The Symoci is singul arly determined by the input s 71[,r, nc) -, z~ -.tih ic',; ~= x Is ted -r seconds ago A neuron may 'd- -~ - 11 U cc-Ei - ed as a finite automaton with only two P~:sslt I e s -,a 1-1 e s Neurons may.be combined into networv-7~ -wilhout the use of symbol converters (see Fal-. 1'. Relay systems may also be considered as fin~lt7,:- oma tons of the "neuron network" type, 1 ") ~. ~ - -,L.rri. .1 -(:.JEIY 0 " I J " r T' sec being determined by the ~i ~.i r a r~ c, !' t h e relay operation. Conclud-ing remarks ~i-ad~, ~7,zi the possibility of considering a system des,-Igned at~ to belon., to the class of finite a~itomatons- `]-,a~ion of the theory of finite automatons is arip-L - -.1 f-,~-r.riina.ted as soon as equations of type (6), Part I, arr-~-- vrritten, These equations are then used as a 6asis for ~-ngineering design. There are 5 figures; and I 1~~ab'Le. SUBMITTED.- 26, IL959 Card 4/4 i/C Pin 've --K louirngag C Iq d -d- qj M, 'T .4s 2--qV ;-m) --.wn -a -a AU ,I I t xq 9 .1l.Tj qt -tj- I .4~d IVJ -.J.A ..11 uj .-M.. I~d.t Ij '11,0 u, 'pt. T 41 '4'"' "Z"Al -41 P-1-4 1-91- -U' u0 "Cla- .10. anLno-i P.TT., .1 it - (S' I V dd .,,yDjcoj)na -guol;iav C/ Arc/) 0054 W 5,.-w Y Z _J:' EV, L.k. (1-losk-va); ROZONIO I ERY L.I. (Moskva) A _T~L4,tT M.A. (Moskva); GUSE Sj~,,MhIOV-~, 1.*.,. ',.!Dskva); TALIA.A. (Moskva) AlgoritEride insol"bility of a problem on the recognition of the repreSeDt,ability of recursive events in finite automata. lkvtom. i te-lem. 22 no.6.*748-755 Je 161. (MIRA 14:7) (Autov-qtic coLtrol) AYZERM4N. M. A (Moskva); GUSEV,, L. A (Moskva); ROZONOER, L. I. (Moskva); I-SMIRNO~17 I. M. (Mcskva); TAL': A. A. (Moskva) Conversion of the time pace of sequential machines and synthesis of switching circuits. Avtom. i telem. 23 no.11:1465-1491 N 162. (MIRA 15:10) (Blectric relays) (Switchin theory) (Automatic controll ;a z IT-1: lj~W, ;_ , Niark Aronovich; GUSEV, Leonid A.'ek3eyevich; ROZONOER) Lev Iltich; q,.lIfTOVA, Irima (,'Uk-haylwma) TALI, Aleksey Alekseyevich3 KO;~OLEV, 14I.A., red.; MURASHOVA, N.Ya. tekhn. red. [Logic. Automats. Algorithms] Logjka. Avtomaty. Algoritmy. l,',oskva, Fizmatgiz, 1963. 556 p. (MIRA 17:3) ACCESSION NR: AP4042259 S/0089/64/017/001/0045/0049 AUTHORS: Sty*rikovich, M. A.; Marty*nova, 0. 1.; Katkovskaya, K. Ya.7 Pobrovskiy, I. Ya.; Smirnova, 1. N. TITLE: Transition of iodine from aqueous solutions into saturated steam SOURCE: Atomnaya energiya, v. 17, no. 1, 1964, 45-49 TOPIC TAGS: reactor fuel rod, rbactor coolant, reactor inspection, reactor safety, iodine, radioactivation analysis ABSTRACT: In view of the importance of monitoring the tightness of the cladding of rod and plate type fuel elements in water-water and boiling-water reactors, the authors consider the quantitative dis- tribution of elementary iodine (used as a detector of the tightness of the cladding) and its hydrolysis product between boiling water and dry vapor in equilibrium with it'at pressures 1.9, 4, and 10 Ford- 1/6, ACCESSION NR: AP4042259 2 kg/cm at pH values from 5.5 to 11. The investigation was made by a bubbling method which is briefly described together with the ap- paratus employed. The results show that the fraction of the hydroly- sis product at low concentrations (