Piecewise Lyapunov functions for robust stability of linear time-varying systems

نویسندگان

  • Lin Xie
  • Serge Shishkin
  • Minyue Fu
چکیده

In this paper, we investigate the use of two-term piecewise quadratic Lyapunov functions for robust stability of linear time-varying systems. By using the so-called S-procedure and a special variable reduction method, we provide numerically e cient conditions for the robust asymptotic stability of the linear time-varying systems involving the convex combinations of two matrices. An example is included to demonstrate the usefulness of our results.

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تاریخ انتشار 1997