Stabilization of Switched Linear Systems with Multiple Time-Varying Delays

Abstract

This paper considers the problem of stabilization via state feedback and/or state-based switching for switched linear systems with multiple time-varying delays. The main contribution of this paper is that we proved the switched linear delay system will be stabilizable via state feedback and/or switching for an appropriate upper bound of delays if the corresponding (closed-loop) system with zero delays has a Hurwitz stable convex combination. Particularly, the maximal allowable upper bound of delays can be obtained from some feasible linear matrix inequalities (LMIs)