Stability of impulsive systems depending on a parameter |
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| Authors: | Boulbaba Ghanmi |
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| Institution: | Department of Mathematics, University of Sfax, Faculty of Sciences of Sfax, Sfax, Tunisia |
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| Abstract: | 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. |
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| Keywords: | practical exponential stability cascaded impulsive systems Lyapunov theory subclass 37D25 37C75 93D05 |
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