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, 1-14

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:382762

DOI: 10.1155/2013/382762

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