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- W2048794024 abstract "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 non-linear 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 non-linear difference inclusions." @default.
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- W2048794024 date "2010-02-01" @default.
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- W2048794024 title "Summability characterizations of uniform exponential and asymptotic stability of sets for difference inclusions" @default.
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- W2048794024 doi "https://doi.org/10.1080/10236190902817844" @default.
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