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Asymptotic Hyperstability of a Class of Linear Systems under Impulsive Controls Subject to an Integral Popovian Constraint

M. De la Sen, A. Ibeas and S. Alonso-Quesada

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: This paper is focused on the study of the important property of the asymptotic hyperstability of a class of continuous‐time dynamic systems. The presence of a parallel connection of a strictly stable subsystem to an asymptotically hyperstable one in the feed‐forward loop is allowed while it has also admitted the generation of a finite or infinite number of impulsive control actions which can be combined with a general form of nonimpulsive controls. The asymptotic hyperstability property is guaranteed under a set of sufficiency‐type conditions for the impulsive controls.

Date: 2013
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https://doi.org/10.1155/2013/382762

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