Improved results on exponential stability of discrete-time switched delay systems

Abstract

In this paper, we study the exponential stability problem of dis- crete-time switched delay systems. Combining a multiple Lyapunov function method with a mode-dependent average dwell time technique, we develop novel sufficient conditions for exponential stability of the switched delay systems ex- pressed by a set of numerically solvable linear matrix inequalities. Finally, numerical examples are presented to illustrate less conservativeness of the ob- tained results.