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Stochastic Stability of Discrete-Time Switched Systems with a Random Switching Signal

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  • Kai Liu
  • Xiaowu Mu
  • Jumei Wei

Abstract

Necessary and sufficient condition for stochastic stability of discrete-time linear switched system with a random switching signal is considered in this paper, assuming that the switching signal allows fixed dwell time before a Markov switch occurs. It is shown that the stochastic stability of the system is equivalent to that of an auxiliary system with state transformations at switching time, whose switching signal is a Markov chain. The stochastic stability is studied using a stochastic Lyapunov approach. The effectiveness of the proposed approach is demonstrated by a numerical example.

Suggested Citation

  • Kai Liu & Xiaowu Mu & Jumei Wei, 2015. "Stochastic Stability of Discrete-Time Switched Systems with a Random Switching Signal," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-9, October.
    • Handle: RePEc:hin:jnlmpe:191458
    DOI: 10.1155/2015/191458
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