Controllability of Stochastic Delay Systems with Impulse in a Separable Hilbert Space

被引：10

作者：

Guo, Yingxin ^{[1
,2
]}

Xu, Chao ^{[1
]}

机构：

[1] Zhejiang Univ, Inst Cyber Syst & Control, Dept Control Engn, State Key Lab Ind Control Technol, Hangzhou 310027, Zhejiang, Peoples R China

[2] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China

来源：

ASIAN JOURNAL OF CONTROL | 2016年 / 18卷 / 02期

基金：

国家高技术研究发展计划(863计划);

关键词：

Controllability; nonlinear stochastic system; systems with infinite delay; generalization of contraction mapping; SEMILINEAR CONTROL-SYSTEMS; TIME-DELAY; APPROXIMATE CONTROLLABILITY; EXPONENTIAL STABILIZATION; INFINITE DELAY;

D O I：

10.1002/asjc.1100

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we study the controllability of a kind of nonlinear stochastic impulsive system with infinite delay in abstract space. Sufficient conditions for the controllability are obtained via the generalization of the contraction mapping principle and with none of the compactness condition restriction on the evolution family of operators for the system. Finally, a numerical example is given to illustrate the effectiveness of our results.

引用

页码：779 / 783

页数：5

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