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Shujun Liu1; Jifeng Zhang2; Zhongping Jiang3
Source Publicationactamathematicaeapplicataesinica
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.
Document Type期刊论文
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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