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Robust Control for Uncertain Switched Systems with Interval Nondifferentiable Time-Varying Delays

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  • T. La-inchua
  • P. Niamsup

Abstract

This paper addresses the conditions for robust stabilization of a class of uncertain switched systems with delay. The system to be considered is autonomous and the state delay is time-varying. Using Lyapunov functional approach, restriction on the derivative of time-delay function is not required to design switching rule for the robust stabilization of switched systems with time-varying delays. The delay-dependent stability conditions are presented in terms of the solution of LMIs which can be solved by various available algorithms. A numerical example is given to illustrate the effectiveness of theoretical results.

Suggested Citation

  • T. La-inchua & P. Niamsup, 2012. "Robust Control for Uncertain Switched Systems with Interval Nondifferentiable Time-Varying Delays," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-24, August.
  • Handle: RePEc:hin:jnljam:718618
    DOI: 10.1155/2012/718618
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