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

Author

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  • M. De la Sen
  • A. Ibeas
  • S. Alonso-Quesada

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.

Suggested Citation

  • M. De la Sen & A. Ibeas & S. Alonso-Quesada, 2013. "Asymptotic Hyperstability of a Class of Linear Systems under Impulsive Controls Subject to an Integral Popovian Constraint," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-14, October.
    • Handle: RePEc:hin:jnlaaa:382762
    DOI: 10.1155/2013/382762
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    Cited by:

    1. Manuel De la Sen, 2022. "Asymptotic Hyperstability and Input–Output Energy Positivity of a Single-Input Single-Output System Which Incorporates a Memoryless Non-Linear Device in the Feed-Forward Loop," Mathematics, MDPI, vol. 10(12), pages 1-20, June.

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