A necessary and sufficient condition for robust asymptotic stabilizability of continuous-time uncertain switched linear systems

The main contribution of this paper is a necessary and sufficient condition derived for the existence of asymptotically stabilizing switching laws for a class of switched linear systems with time-variant parametric uncertainties. This result improves upon the sufficient only conditions found in the literature. The method is based on polyhedral Lyapunov-like functions, which represent generalizations of polytopic Lyapunov functions in the classical sense.