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Delay-Dependent Stability Criterion of Arbitrary Switched Linear Systems with Time-Varying Delay

Author

Listed:
  • Jun Li
  • Weigen Wu
  • Jimin Yuan
  • Qianrong Tan
  • Xing Yin

Abstract

This paper deals with the problem of delay-dependent stability criterion of arbitrary switched linear systems with time-varying delay. Based on switched quadratic Lyapunov functional approach and free-weighting matrix approach, some linear matrix inequality criterions are found to guarantee delay-dependent asymptotically stability of these systems. Simultaneously, arbitrary switched linear system can be expressed as a problem of uncertain liner system, so some delay-dependent stability criterions are obtained with the result of uncertain liner system. Two examples illustrate the exactness of the proposed criterions.

Suggested Citation

  • Jun Li & Weigen Wu & Jimin Yuan & Qianrong Tan & Xing Yin, 2010. "Delay-Dependent Stability Criterion of Arbitrary Switched Linear Systems with Time-Varying Delay," Discrete Dynamics in Nature and Society, Hindawi, vol. 2010, pages 1-16, December.
    • Handle: RePEc:hin:jnddns:347129
    DOI: 10.1155/2010/347129
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    Cited by:

    1. Manivannan, R. & Samidurai, R. & Cao, Jinde & Alsaedi, Ahmed & Alsaadi, Fuad E., 2018. "Stability analysis of interval time-varying delayed neural networks including neutral time-delay and leakage delay," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 433-445.
    2. Zeng, Hong-Bing & Liu, Xiao-Gui & Wang, Wei, 2019. "A generalized free-matrix-based integral inequality for stability analysis of time-varying delay systems," Applied Mathematics and Computation, Elsevier, vol. 354(C), pages 1-8.

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