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On zero-input stability inheritance for time-varying systems with decaying-to-zero input power

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2017-06

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Abstract

"Stability results for time-varying systems with inputs are relatively scarce, as opposed to the abundant literature available for time-invariant systems. This paper extends to time-varying systems existing results that ensure that if the input converges to zero in some specific sense, then the state trajectory will inherit stability properties from the corresponding zero-input system. This extension is non-trivial, in the sense that the proof technique is completely novel, and allows to recover the existing results under weaker assumptions in a unifying way."

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ESTABILIDAD, ANALISIS NUMERICO, INVARIANCIA, SISTEMAS DE CONTROL NO LINEALES

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