A notion of stochastic input-to-state stability and its application to stability of cascaded stochastic nonlinear systems

被引：0
|
作者：
Shu-jun Liu
Ji-feng Zhang
Zhong-ping Jiang
机构：
[1] Southeast University,Department of Mathematics
[2] Chinese Academy of Sciences,Key Laboratory of Systems and Control, Institute of Systems Science, Academy of Mathematics and Systems Science
[3] Polytechnic University,Department of Electrical and Computer Engineering
来源：
Acta Mathematicae Applicatae Sinica, English Series | 2008年 / 24卷
关键词：
Stochastic nonlinear systems; Stochastic input-to-state stability (SISS); SISS-Lyapunov function; 93C10; 93E03; 93E15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, the property of practical input-to-state stability and its application to stability of cascaded nonlinear systems are investigated in the stochastic framework. Firstly, the notion of (practical) stochastic input-to-state stability with respect to a stochastic input is introduced, and then by the method of changing supply functions, (a) an (practical) SISS-Lyapunov function for the overall system is obtained from the corresponding Lyapunov functions for cascaded (practical) SISS subsystems.
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页码：141 / 156
页数：15
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