SCIENTIFIC ABSTRACT FOMIN, N.G. - FOMINA, L.L.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R002200820006-1
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: September 17, 2001
• Sequence Number: 6
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

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~011 UNCLASSIFIED 'PROCESSING DATE-30OCT70
:,TLTLE-CERTAIN PROBLEM OF SYNTHESIS OF SYSTEM OF OP~IMAL CONTROL -u-
AUTHOR-(04)-ANISIMOV# I.V.* 8CDROV# V.I.ir KOSHCHEYEVI NoN., FOMIN, N,Gw
~:CtUNTRY:GF INFO-USSR
..,-:,SfIURCE--AVTOMATIKA ITELEMEKHANIKAt 1970v NR 6t PP 118-123
.."GATE PUBLISHED -70
SUBJECT ARF-AS-MECH.v IND., CIVIL AND MARINE ENGRw 14ATHEMATICAL SCitticES
_-,~TOPIC TAGS--OPTIVAL AUTOMATIC CONTROL, PERTURBATIOW~ METHOD, ALGORITHM,
AUTOMATIC CHEMICAL PROCESS CONTROL
,:I~CGNTRQL MARKING-NO RESTRICTIONS
DOCUMENT CLASS--UNCLASSIFICO
PROXY REEL/FRAME-ZUOO/1009 STEP NO--UR/0103/ZO/000/006/Olld/Q!?-3
CIRC ACCESSIGN NO--AP0124668
U N' CLASSIFTED

--------------
2/2 Oil UNCLASSIFIED PAQCESS[NG DATE--7boCT70
-.CLRC ACCESSION NO--AP0124668
'ABSTRACT/EXTRACT-(U) GP-0- ABSTRACT. A .-PRO BLEM OF THE SYNTHESIS OF A
SYSTEM OF OPTIMAL CONTROL BY THE INTEGRAL CRuERILIN FOR A CLASS (IF
OBJECTS IS CONSIDERED. THE SYSTEM IS ACTED UPON :aY CONSfAWLY MEASURED
,'~~.:~:DISTURBANCES. AN ALGORITHM OF THE OPTIMAL CONTROL OF A RECTIFICATION
COLUMN UNDER THE DISTURBANCE CONCERNING THE COMPOITION OF THE INITIAL
MIXTURE IS SUGGESTED*

Oscilldtors and'11odulators
USSR - UDC: 621,374.42
ARON, A. Ya. and FOMIN, N. N.
"Phase-Frequency Characteristics of a Regenerative Frequency
Hultiplier Using a Tunnel Diode's
Moscow, Radiotekhnika, No 9, 1972,~pp 46-49
Abstract: The purpose of this article is to set up the phase-
frequency characteristics of a frequency multiplier.using a tun-
p
nel diode oscillator synchronized to a subharmonic. This circuit,
which has a number of advantages over resonance frequency multi-
pliers now in general use, was investigated bythe authors named
~above in an earlier paper published in the same journal (vol 27,
No 6, 1972). In the present paper, the authors use, to determine
the phase-frequency characteristics of the circuits the shortened
eauations describing the oscillator i-.rith a short-circuited line
segment.equivalent to the inductance, with the nlonlinearity of the
tunnel diode capacitance taken into account. An equivalent cir-
cuit of the Trequency multiplier is shown, and the phase-frequency
characteristics are plotted for various values of the external
signal amplitude. The device has broad synchronization bands.and
can multiply the frequency of signals with large deviations at low
distortion.

Devicer,
USSR UDO 621-374.42
nUTIT- _W W_ ARON, A.YA. (Members, Scientif ic-Technical Society Of Radio
Engineering, Electronico,'And Communications imeni A.S,, Popov]
ORegenerative High Multiplicity Factor Frequency Multip,lier Based On A Tunnel
Dioden..
Radiotekhnil 0" if x 1E S1,
[V, X] + 0 0, if x E: S23
are satisfied, where the brackets indicate the scalar Product
1/2

USSR
FOMIN, V. N., Metody Vychisleniy, No 7, 1971, 'pp 9.7-106
in Rn. The problem of finding the separating Iane furthest
~p
from sets Sr and S2 consists in finding the solution of the
system ofinequalities
[V, X] + 0 X 11 vu, if X E S I
[V, X] + 0 A 11 v H,if X E S2,
which corresponds to the grVatest number X (11vo is the norm of
vector v in Rn, 11 v it = [v, v]'I) . Amethod is proposed for find-
ing a solution for this system of inequalities,~which is based
on an algorithm for finding the distance from a given point
to the boundary of a convex polyhedron.
2/2
82
~1 I'Mr - Wit 11311111111111 11d,111hu

77-
USSR UDC 8.74
FOMIN, V.
IIlAlgorithm. for Finding the Shortest Distance From aGiven Point to a Convex
Polyhedron, and its Application to the Problem of Pattern Recognition"
V sb. Metocbr yychisleniy (Methods -of Computations --Collect ion of works),
VYp- 7, Leningrad, Leningrad University, 1971, PP 97-106 (from RZh-Kiber-
netika, No 5, May 72, Abstract No 5V563)
Translation: The following problem is considered. It: is required to find
the plane Q= {v;61 in real Euclidean space Rn such that the.inequalities
IV. xj+0>0, i f XES1.
IV. XI+0