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Switching Signal Design for Exponential Stability of Uncertain Discrete‐Time Switched Time‐Delay Systems

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  • Zheng-Fan Liu
  • Chen-Xiao Cai
  • Yun Zou

Abstract

The switching signal design for exponential stability with H∞ performance of uncertain switched linear discrete‐time systems with interval time‐varying delay is considered. Systems with norm‐bounded parameter uncertainties are considered. By taking a new Lyapunov‐Krasovskii (LK) function, sufficient conditions for the existence of a class of stabilizing switching laws are derived in terms of linear matrix inequalities (LMIs) to guarantee the considered switched time‐delay system to be exponentially stable. The resulting stability criteria are of fewer matrix variables and are less conservative than some existing ones. In addition, numerical examples are illustrated to show the main improvement.

Suggested Citation

  • Zheng-Fan Liu & Chen-Xiao Cai & Yun Zou, 2013. "Switching Signal Design for Exponential Stability of Uncertain Discrete‐Time Switched Time‐Delay Systems," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:416292
    DOI: 10.1155/2013/416292
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    References listed on IDEAS

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    1. Xudong Zhao & Hao Liu & Zhenhuan Wang, 2013. "Weighted performance analysis of switched linear systems with mode-dependent average dwell time," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(11), pages 2130-2139.
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    Cited by:

    1. Jian-ming Wei & Yun-an Hu & Mei-mei Sun, 2014. "A New AILC for a Class of Nonlinearly Parameterized Systems with Unknown Delays and Input Dead‐Zone," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).

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