Summability characterizations of uniform exponential and asymptotic stability of sets for difference inclusions
نویسنده
چکیده
We present several equivalent characterizations of uniform global exponential stability (UGES) and uniform global asymptotic stability (UGAS) of arbitrary closed (not necessarily compact) sets for nonlinear difference inclusions. In particular, we provide several characterizations of these stability properties via summability criteria that do not require the knowledge of a Lyapunov function. We apply our results to prove novel nested Matrosov theorems for UGES and UGAS of the origin for time-varying nonlinear difference inclusions.
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تاریخ انتشار 2010