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

Author

Listed:
  • 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, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:382762
    DOI: 10.1155/2013/382762
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    References listed on IDEAS

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    1. Yonglei Fang & Xiong You & Zhaoxia Chen, 2012. "New Phase Fitted and Amplification Fitted Numerov‐Type Methods for Periodic IVPs with Two Frequencies," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. Xia Li & Hamid Reza Karimi & Zhengrong Xiang, 2013. "Output Feedback Control of Discrete Impulsive Switched Systems with State Delays and Missing Measurements," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-10, October.
    3. Xisheng Dai & Feng Yang, 2013. "Complete Controllability of Impulsive Stochastic Integrodifferential Systems in Hilbert Space," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-7, July.
    4. Yonglei Fang & Xiong You & Zhaoxia Chen, 2012. "New Phase Fitted and Amplification Fitted Numerov-Type Methods for Periodic IVPs with Two Frequencies," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-15, October.
    5. Xisheng Dai & Feng Yang, 2013. "Complete Controllability of Impulsive Stochastic Integrodifferential Systems in Hilbert Space," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
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    Cited by:

    1. Manuel De la Sen & Asier Ibeas, 2014. "Convergence Properties and Fixed Points of Two General Iterative Schemes with Composed Maps in Banach Spaces with Applications to Guaranteed Global Stability," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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