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New Results on Stability and Stabilization of Markovian Jump Systems with Time Delay

Author

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  • Hongwei Xia
  • Li Li
  • Yanmin Wang
  • Guangcheng Ma
  • Changhong Wang

Abstract

This technical paper deals with the problem of stochastic stability and stabilization for a class of linear Markovian jumping systems with discrete time-varying delay. A novel delay-dependent stochastic stability criterion for Markovian delay systems is established based on new augmented Lyapunov-Krasovskii functional and delay fractioning techniques. Then a state feedback controller is designed to guarantee the stochastic stability of the resulting closed-loop system. Numerical examples are provided to illustrate the effectiveness of the proposed design approach in this paper.

Suggested Citation

  • Hongwei Xia & Li Li & Yanmin Wang & Guangcheng Ma & Changhong Wang, 2014. "New Results on Stability and Stabilization of Markovian Jump Systems with Time Delay," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-10, August.
    • Handle: RePEc:hin:jnlmpe:927316
    DOI: 10.1155/2014/927316
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