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Stabilization analysis of the switched discrete-time systems using Lyapunov stability theorem and genetic algorithm

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  • Chiou, Juing-Shian
  • Cheng, Chun-Ming

Abstract

This paper attempts to investigate the stabilization and switching law design for the switched discrete-time systems. A theoretical study of the stabilization and switching law design has been performed using the Lyapunov stability theorem and genetic algorithm. The present results demonstrated that can be applied to cases when all individual subsystems are unstable. Finally, some examples are exploited to illustrate the proposed schemes.

Suggested Citation

  • Chiou, Juing-Shian & Cheng, Chun-Ming, 2009. "Stabilization analysis of the switched discrete-time systems using Lyapunov stability theorem and genetic algorithm," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 751-759.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:2:p:751-759
    DOI: 10.1016/j.chaos.2009.02.003
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    References listed on IDEAS

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    6. Li, Ping & Zhong, Shou-Ming & Cui, Jin-Zhong, 2009. "Stability analysis of linear switching systems with time delays," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 474-480.
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    Cited by:

    1. Chun-Tang Chao & Ding-Horng Chen & Juing-Shian Chiou, 2021. "Stabilization and the Design of Switching Laws of a Class of Switched Singularly Perturbed Systems via the Composite Control," Mathematics, MDPI, vol. 9(14), pages 1-11, July.

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