Robust stability criteria for systems with interval time-varying delay and nonlinear perturbations

  • Authors:

  • Wei Zhang;Xiu-Shan Cai;Zheng-Zhi Han

  • Affiliations:

  • School of Electronic, Information and Electrical Engineering, Shanghai Jiao Tong University, Shanghai, 200240, People's Republic of China;College of Mathematics, Physics, and Information Engineering, Zhejiang Normal University, Jinhua, Zhejiang, 321004, People's Republic of China;School of Electronic, Information and Electrical Engineering, Shanghai Jiao Tong University, Shanghai, 200240, People's Republic of China

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2010

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Abstract

This paper considers the robust stability for a class of linear systems with interval time-varying delay and nonlinear perturbations. A Lyapunov-Krasovskii functional, which takes the range information of the time-varying delay into account, is proposed to analyze the stability. A new approach is introduced for estimating the upper bound on the time derivative of the Lyapunov-Krasovskii functional. On the basis of the estimation and by utilizing free-weighting matrices, new delay-range-dependent stability criteria are established in terms of linear matrix inequalities (LMIs). Numerical examples are given to show the effectiveness of the proposed approach.