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Exponential Stability of Impulsive Delay Differential Equations by using Weight Function

Exponential Stability of Impulsive Delay Differential Equations by using Weight Function AbstractIn present study, some sufficient conditions for the exponential stability of impulsive delay differential equations are obtained by introducing weight function in the norm and applying the concept of Lyapunov functions and Razumikhin techniques. The function ψ plays the role of weight and hence increases the rate of convergence towards stability. The obtained results are demonstrated with examples. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Nonlinear Engineering de Gruyter

Exponential Stability of Impulsive Delay Differential Equations by using Weight Function

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References (24)

Publisher
de Gruyter
Copyright
© 2017 Walter de Gruyter GmbH, Berlin/Boston
ISSN
2192-8029
eISSN
2192-8029
DOI
10.1515/nleng-2017-0117
Publisher site
See Article on Publisher Site

Abstract

AbstractIn present study, some sufficient conditions for the exponential stability of impulsive delay differential equations are obtained by introducing weight function in the norm and applying the concept of Lyapunov functions and Razumikhin techniques. The function ψ plays the role of weight and hence increases the rate of convergence towards stability. The obtained results are demonstrated with examples.

Journal

Nonlinear Engineeringde Gruyter

Published: Sep 25, 2018

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