Stabilization of linear switched controlled systems

Abstract This paper considers the problem of event driven stabilization of linear controlled switched systems, i.e., the weak stabilization problem of the associated differential inclusion. The main result is that if the system is stabilizable by feedback then it is also stabilizable by applying event driven switchings for a finite set of linear closed–loop systems obtained by applying a suitable set of linear feedback. The applicability of the method is shown by some example.

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