A condition for output-to-state stability of switched nonlinear systems

Abstract

Output-to-state stability of switched nonlinear systems is studied in this paper. A sufficient condition for output-to-state stability is given in terms of series expressions and under the assumption that all subsystems are output-to-state stable. For a class of switched nonlinear systems we also show how to satisfy this condition by appropriately choosing dwell time. A lower bound on such dwell time is explicitly calculated. AU results are derived constructively.