Stability of uncertain switched distributed parameter systems with multiple time-varying delays

Abstract

This paper considers the stability properties
of a class of distributed parameter switched systems with multiple time-varying delays and uncertainties. Based on energy methods and inequality techniques, new criteria for exponential stability in $L_2$-norm are derived in terms of linear matrix inequalities and average dwell time. Furthermore, the stabilization for the same type of systems is achieved via a feedback control. Numerical examples are also given to illustrate the results.