Asymptotic hyperstability of a class of linear systems under impulsive controls subject to an integral popovian constraint

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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. © 2013 M. De la Sen et al.

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De La Sen, M., Ibeas, A., & Alonso-Quesada, S. (2013). Asymptotic hyperstability of a class of linear systems under impulsive controls subject to an integral popovian constraint. Abstract and Applied Analysis, 2013. https://doi.org/10.1155/2013/382762

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