Ou Ou, Hong-Bin Zhang, Jue-Bang Yu. Stability Analysis of Uncertain Discrete-Time Piecewise Linear Systems with Time Delays[J]. Journal of Electronic Science and Technology, 2009, 7(3): 254-257.
Citation: Ou Ou, Hong-Bin Zhang, Jue-Bang Yu. Stability Analysis of Uncertain Discrete-Time Piecewise Linear Systems with Time Delays[J]. Journal of Electronic Science and Technology, 2009, 7(3): 254-257.

Stability Analysis of Uncertain Discrete-Time Piecewise Linear Systems with Time Delays

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  • Author Bio:

    Ou Ou research interests include optimization and applications of graph theory, computer algorithms, computational intelligence and its applications in VLSI circuit physical design, nonlinear circuits & systems, and chaos & impulsive control, ouou@cdut.edu.cn;
    Hong-Bin Zhang, zhanghb@uestc.edu.cn

    Ou Ou research interests include optimization and applications of graph theory, computer algorithms, computational intelligence and its applications in VLSI circuit physical design, nonlinear circuits & systems, and chaos & impulsive control, ouou@cdut.edu.cn;
    Hong-Bin Zhang, zhanghb@uestc.edu.cn

  • Received Date: 2008-10-06
  • Rev Recd Date: 2009-01-03
  • Publish Date: 2009-09-24
  • This paper considers the stability analysis of uncertain discrete-time piecewise linear systems with time delays based on piecewise Lyapunov-Krasovskii functionals. It is shown that the stability can be established for the control systems if there is a piecewise Lyapunov-Krasovskii functional, and moreover, the functional can be obtained by solving a set of linear matrix inequalities (LMIs) that are numerically feasible. A numerical example is given to demonstrate the efficiency and advantage of the proposed method.
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