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13 Mar 2008
A notion of stochastic inputtostate stability and its application to stability of cascaded stochastic nonlinear systems
 Shujun Liu,
 Jifeng Zhang,
 Zhongping Jiang
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In this paper, the property of practical inputtostate stability and its application to stability of cascaded nonlinear systems are investigated in the stochastic framework. Firstly, the notion of (practical) stochastic inputtostate stability with respect to a stochastic input is introduced, and then by the method of changing supply functions, (a) an (practical) SISSLyapunov function for the overall system is obtained from the corresponding Lyapunov functions for cascaded (practical) SISS subsystems.
Supported by the National Natural Science Foundation of China (No.60221301, No.60428304).
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 Title
 A notion of stochastic inputtostate stability and its application to stability of cascaded stochastic nonlinear systems
 Journal

Acta Mathematicae Applicatae Sinica, English Series
Volume 24, Issue 1 , pp 141156
 Cover Date
 20080101
 DOI
 10.1007/s102550077005x
 Print ISSN
 01689673
 Online ISSN
 16183932
 Publisher
 Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
 Additional Links
 Topics
 Keywords

 Stochastic nonlinear systems
 Stochastic inputtostate stability (SISS)
 SISSLyapunov function
 93C10
 93E03
 93E15
 Authors

 Shujun Liu ^{(1)}
 Jifeng Zhang ^{(2)}
 Zhongping Jiang ^{(3)}
 Author Affiliations

 1. Department of Mathematics, Southeast University, Nanjing, 210096, China
 2. Key Laboratory of Systems and Control, Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080, China
 3. Department of Electrical and Computer Engineering, Polytechnic University, 5 Metrotech Center, Brooklyn, N.Y., 11201, USA