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An MDADT-Based Approach for -Gain Analysis of Discrete-Time Switched Delay Systems

Author

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  • Honglei Xu
  • Xiang Xie
  • Lilian Shi

Abstract

We study the -gain analysis problem for a class of discrete-time switched systems with time-varying delays. A mode-dependent average dwell time (MDADT) approach is applied to analyze the -gain performance for these discrete-time switched delay systems. Combining a multiple Lyapunov functional method with the MDADT approach, sufficient conditions expressed in form of a set of feasible linear matrix inequalities (LMIs) are established to guarantee the -gain performance. Finally, a numerical example will be provided to demonstrate the validity and usefulness of the obtained results.

Suggested Citation

  • Honglei Xu & Xiang Xie & Lilian Shi, 2016. "An MDADT-Based Approach for -Gain Analysis of Discrete-Time Switched Delay Systems," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-8, March.
    • Handle: RePEc:hin:jnlmpe:1673959
    DOI: 10.1155/2016/1673959
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