On controllability of semilinear stochastic systems in Hilbert spaces

被引：33
|
作者：
Mahmudov, Nazim I. [1 ]
机构：
[1] Department of Mathematics, Eastern Mediterranaen University, Gazimagusa, Mersin 10, Turkey
来源：
IMA Journal of Mathematical Control and Information | 2002年 / 19卷 / 04期
关键词：
Controllability - Functions - Linear control systems - Mathematical operators - Nonlinear control systems;
D O I：
10.1093/imamci/19.4.363
中图分类号：
学科分类号：
摘要：
A stochastic linear quadratic optimal control problem which depends on parameter is presented. An approximating control which steers the linear stochastic system from an arbitrary point to a small neighbourhood of an arbitrary point, provided that the linear system is approximately controllable, is found. The approximate controllability of the system by means of the Nussbaum fixed-point theorem is analyzed.
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页码：363 / 376
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