Stability of impulsive systems depending on a parameter

In this paper, we present a practical exponential stability result for impulsive dynamic systems depending on a parameter. Stability theorem and converse stability theorem are established by employing the second Lyapunov method. These theorems are used to analyze the practical exponential stability...

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Bibliographic Details
Published in:	Mathematical methods in the applied sciences Vol. 39; no. 10; pp. 2626 - 2646
Main Author:	Ghanmi, Boulbaba
Format:	Journal Article
Language:	English
Published:	Freiburg Blackwell Publishing Ltd 01-07-2016 Wiley Subscription Services, Inc
Subjects:	37C75 93D05 cascaded impulsive systems Dynamical systems Dynamics Lyapunov theory Mathematical analysis practical exponential stability Stability subclass 37D25 Theorems
Online Access:	Get full text
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Summary:	In this paper, we present a practical exponential stability result for impulsive dynamic systems depending on a parameter. Stability theorem and converse stability theorem are established by employing the second Lyapunov method. These theorems are used to analyze the practical exponential stability of the solution of perturbed impulsive systems and cascaded impulsive systems, depending on a parameter. Copyright © 2015 John Wiley & Sons, Ltd.
Bibliography:	istex:0A2D8CBEC3C2CEBF460F6CD7DAC7EFF0E586B5DB ark:/67375/WNG-X315DJ5K-J ArticleID:MMA3717 ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23
ISSN:	0170-4214 1099-1476
DOI:	10.1002/mma.3717