Strictly Practical Stabilization of Impulsive Functional Differential Equations by using Lyapunov functions

Article ID

9CN3B

Strictly Practical Stabilization of Impulsive Functional Differential Equations by using Lyapunov functions

Dr. Sapna Rani
Dr. Sapna Rani Lovely Professional University
Dilbaj Singh
Dilbaj Singh
DOI

Abstract

In this paper, we extend the concept of strict practical stability to impulsive functional differential equations by using Lyapunov functions and Razumikhin technique. As practical stability does not give us much information about the rate of decay of solution so we develop the idea for strict practical stability of functional differential equations with impulsive effect and obtained some conditions for strict practical uniform stability for functional differential equations with impulse by using piecewise continuous Lyapunov functions and Razumikhin technique.

Strictly Practical Stabilization of Impulsive Functional Differential Equations by using Lyapunov functions

In this paper, we extend the concept of strict practical stability to impulsive functional differential equations by using Lyapunov functions and Razumikhin technique. As practical stability does not give us much information about the rate of decay of solution so we develop the idea for strict practical stability of functional differential equations with impulsive effect and obtained some conditions for strict practical uniform stability for functional differential equations with impulse by using piecewise continuous Lyapunov functions and Razumikhin technique.

Dr. Sapna Rani
Dr. Sapna Rani Lovely Professional University
Dilbaj Singh
Dilbaj Singh

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Dr. Sapna Rani. 2013. “. Global Journal of Science Frontier Research – F: Mathematics & Decision GJSFR-F Volume 13 (GJSFR Volume 13 Issue F4): .

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Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR Volume 13 Issue F4
Pg. 83- 89
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Strictly Practical Stabilization of Impulsive Functional Differential Equations by using Lyapunov functions

Dr. Sapna Rani
Dr. Sapna Rani Lovely Professional University
Dilbaj Singh
Dilbaj Singh

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