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anotionofstochasticinputtostatestabilityanditsapplicationtostabilityofcascadedstochasticnonlinearsystems
Shujun Liu1; Jifeng Zhang2; Zhongping Jiang3
2008
Source Publicationactamathematicaeapplicataesinica
ISSN0168-9673
Volume024Issue:001Pages:141
AbstractIn 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.
Language英语
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/48172
Collection系统科学研究所
Affiliation1.东南大学
2.中国科学院数学与系统科学研究院
3.Department of Electrical and Computer Engineering Polytechnic University,5 Metrotech Center
Recommended Citation
GB/T 7714
Shujun Liu,Jifeng Zhang,Zhongping Jiang. anotionofstochasticinputtostatestabilityanditsapplicationtostabilityofcascadedstochasticnonlinearsystems[J]. actamathematicaeapplicataesinica,2008,024(001):141.
APA Shujun Liu,Jifeng Zhang,&Zhongping Jiang.(2008).anotionofstochasticinputtostatestabilityanditsapplicationtostabilityofcascadedstochasticnonlinearsystems.actamathematicaeapplicataesinica,024(001),141.
MLA Shujun Liu,et al."anotionofstochasticinputtostatestabilityanditsapplicationtostabilityofcascadedstochasticnonlinearsystems".actamathematicaeapplicataesinica 024.001(2008):141.
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