Exponential stability criterion for time-delay systems with nonlinear uncertainties

  • Hien L
  • Ha Q
  • Phat V
  • 2

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Abstract

This paper considers the problem of exponential stability and stabilization of switched linear time-delay systems. The system parameter uncertainties are time-varying and unknown but norm-bounded. The delay in the system states is also time-varying. By using an improved LyapunovKrasovskii functional, a switching rule for the exponential stability and stabilization is designed in terms of the solution of Riccati-type equations. The approach allows for computation of the bounds that characterize the exponential stability rate of the solution. Numerical examples are given to illustrate the results.

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  • exponential stability

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Authors

  • L V Hien

  • Q P Ha

  • V N Phat

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