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Improved stability of a class of switched neutral systems via Lyapunov–Krasovskii functionals and an average dwell-time scheme

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  • Tai-Fang Li
  • Georgi Dimirovski
  • Yanyan Liu
  • Jun Zhao

Abstract

This article is concerned with the stability analysis for a class of switched neutral systems with mixed time-varying delays. The upper bound of derivative of the discrete time-varying delay is not restricted to one. A delay-dependent criterion of exponential stability under switching signals with an average dwell time is developed by employing free weighting matrices. The criterion is given in the form of linear matrix inequality. A state decay estimation for the switched system is explicitly given by considering the individual rate of decay of state for each subsystem. Two simulation examples are given to illustrate the effectiveness of the proposed method.

Suggested Citation

  • Tai-Fang Li & Georgi Dimirovski & Yanyan Liu & Jun Zhao, 2013. "Improved stability of a class of switched neutral systems via Lyapunov–Krasovskii functionals and an average dwell-time scheme," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(6), pages 1076-1088.
    • Handle: RePEc:taf:tsysxx:v:44:y:2013:i:6:p:1076-1088
    DOI: 10.1080/00207721.2011.652229
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    Cited by:

    1. Qiang Yu & Baowei Wu, 2015. "Robust stability analysis of uncertain switched linear systems with unstable subsystems," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(7), pages 1278-1287, May.
    2. Wenyong Duan & Baozhu Du & Jing You & Yun Zou, 2015. "Improved robust stability criteria for a class of Lur'e systems with interval time-varying delays and sector-bounded nonlinearity," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(5), pages 944-954, April.

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