Exponentially weighted input-to-state stability for discrete switched system

Stability analysis of nonlinear systems with disturbance inputs is an important problem in control theory and engineering. Input-to-state stability (ISS) is a novel concept that has been introduced into nonlinear control systems recently. Based on Razumikhim technique and average dwell-time switching signals, ISS properties for discrete switched systems are presented in this paper. An example is given to illustrate the proposed theory of the note.