A SURVEY OF STABILITY OF STOCHASTIC SYSTEMS

被引:312
作者
KOZIN, F
机构
[1] Polytechnic Institute of Brooklyn, Brooklyn, NY
关键词
D O I
10.1016/0005-1098(69)90060-0
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The main purpose of this manuscript is to give to the interested reader some understanding of the subject of stability of stochastic systems. We present some of the basic ideas as well as a survey of results that have appeared in the literature. Theorems are presented, where appropriate, but no proofs are given. It is hoped that the interested reader will go to the original source for the full development of the ideas involved. We restrict ourselves to continuous parameter models and distinguish between those systems that do incorporate Gaussian white noise in the system equations, and those systems that do not incorporate Gaussian white noise. A reasonably representative bibliography is included. © 1969.
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页码:95 / +
页数:1
相关论文
共 66 条
[1]  
ANDRONOV A., 1933, J EXP THEORETICAL PH, V3, P165
[2]  
ARIARATNAM ST, 1967, DYNAMIC STABILITY ST, P267
[3]   ON A FIRST-ORDER STOCHASTIC DIFFERENTIAL EQUATION [J].
ASTROM, KJ .
INTERNATIONAL JOURNAL OF CONTROL, 1965, 1 (04) :301-&
[4]  
BELLMAN R, 1960, DUKE MATH J, V21, P456
[5]  
Bergen A., 1960, IRE T AC, V5, P265
[6]  
BERTRAM JE, 1959, T IRE PGIT, V5, P260
[7]  
BHARUCHA BH, 1961, THESIS U CALIF DEP E
[8]  
Bharucha-Reid A.T., 1960, ELEMENTS THEORY MARK
[10]   MOMENTS OF OUTPUT OF LINEAR RANDOM SYSTEMS [J].
BOGDANOFF, JL ;
KOZIN, F .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1962, 34 (08) :1063-&