GLOBAL EXPONENTIAL STABILITY OF IMPULSIVE HYBRID DYNAMICAL SYSTEMS WITH ANY TIME DELAY

Authors

  • Xingjie Wu Hefei Normal University - School of Mathematics and Statistics
  • Yang Liu Hefei Normal University - School of Mathematics and Statistics
  • Zongmin Qiao Hefei Normal University - School of Mathematics and Statistics

Keywords:

Impulsive dynamics, Any time delay, Hybrid systems, Global exponential stability, Razumikhin technique

Abstract

This present paper addresses global exponential stability for a class of more general linear impulsive hybrid dynamical systems with any time delay.  Combined Lyapunov function methods with the Razumikhin technique, several criteria on global exponential stability are derived, which are substantially extension and generalization of the corresponding results in recent literature. Subsequently, two application examples and its numerical simulations demonstrate that the obtained stability criteria are practical and effective.

Cover of n°32 Italian Journal of Pure and Applied Mathematics

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Published

2014-08-22

How to Cite

Wu, X., Liu, Y., & Qiao, Z. (2014). GLOBAL EXPONENTIAL STABILITY OF IMPULSIVE HYBRID DYNAMICAL SYSTEMS WITH ANY TIME DELAY. Italian Journal of Pure and Applied Mathematics, 32, 379–392. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6194

Issue

N°32 - August 2014

Section

Articoli - Forum Editrice

License

Copyright (c) 2014 Xingjie Wu, Yang Liu, Zongmin Qiao

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)

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