A condition for output-to-state stability of switched nonlinear systems
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KünyeWang, M.S., Dimirovski, G.M., Zhao, J. (2006). A condition for output-to-state stability of switched nonlinear systems. In 45th IEEE Conference on Decision and Control, 2006, (pp. 4099-4104). San Diego, CA, NJ: IEEE. http://dx.doi.org/10.1109/CDC.2006.377644
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.