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Further Results on Stability Analysis for Markovian Jump Systems with Time-Varying Delays

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  • O. M. Kwon
  • R. Sakthivel
  • M. J. Park

Abstract

This paper is concerned with the problem of stability analysis for Markovian jump systems with time-varying delays. By constructing a newly augmented Lyapunov-Krasovskii functional and combining Wirtinger-based integral inequality, an improved delay-dependent stability criterion within the framework of linear matrix inequalities (LMIs) is introduced. Based on the result of delay-dependent stability criterion, when linear systems have fast time-varying delays, a corresponding stability condition is given. Via three numerical examples, the improvements of the proposed criteria are shown by comparing maximum delay bounds provided by our theorems with the recent results.

Suggested Citation

  • O. M. Kwon & R. Sakthivel & M. J. Park, 2015. "Further Results on Stability Analysis for Markovian Jump Systems with Time-Varying Delays," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-13, October.
    • Handle: RePEc:hin:jnlmpe:148565
    DOI: 10.1155/2015/148565
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