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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Veröffentlicht in:	Mathematical methods in the applied sciences 2016-07, Vol.39 (10), p.2626-2646
1. Verfasser:	Ghanmi, Boulbaba
Format:	Artikel
Sprache:	eng
Schlagworte:	37C75 93D05 cascaded impulsive systems Dynamical systems Dynamics Lyapunov theory Mathematical analysis practical exponential stability Stability subclass 37D25 Theorems
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Beschreibung
Zusammenfassung:	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.
ISSN:	0170-4214 1099-1476
DOI:	10.1002/mma.3717