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

Xingjie Wu; Yang Liu; Zongmin Qiao

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

Autori

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

Parole chiave:

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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Pubblicato

2014-08-22

Come citare

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. Recuperato da https://journals.uniurb.it/index.php/ijpam/article/view/6194