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Uniform stability of sets for difference inclusions under summability criteria

Abstract : We present equivalent characterizations of uniform global exponential stability and uniform global asymptotic stability of arbitrary closed not necessarily compact sets for nonlinear difference inclusions. Our conditions are established in the form of summability criteria that do not require the knowledge of a Lyapunov function.
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Andrew Teel, Dragan Nesic, Antonio Loria, Elena Panteley. Uniform stability of sets for difference inclusions under summability criteria. CDC 2009, Dec 2009, Shanghai, China. pp.4131-4136, ⟨10.1109/CDC.2009.5399608⟩. ⟨hal-00831373⟩

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