Acta mathematica scientia,Series A ›› 2018, Vol. 38 ›› Issue (5): 970-983.

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Razumikhin-Type Theorems on P-th Moment and Almost Sure Stability of Neutral Stochastic Switched Nonlinear Systems

Haibo Gu1,*(),Caixia Gao2()   

  1. 1 Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190
    2 School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021
  • Received:2017-03-14 Online:2018-11-09 Published:2018-11-09
  • Contact: Haibo Gu E-mail:guhaibo@amss.ac.cn;gaocx0471@163.com
  • Supported by:
    the NSFC(11261033)

Abstract:

In this paper, P-th moment and almost sure stability for a class of neutral stochastic switched nonlinear systems have been investigated. By utilizing Lyapunov-Razumikhin approach, we employ the stochastic analysis techniques to establish novel stability criteria for neutral stochastic switched nonlinear systems. Some sufficient conditions have been derived to check the stability of the neutral stochastic switched nonlinear systems. One numerical example is provided to demonstrate the effectiveness of the results.

Key words: Neutral stochastic switched nonlinear system, P-th moment stability, Almost surely stability, Lyapunov-Razumikhin approach

CLC Number: 

  • O231.2
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