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Stability of Impulsive Hybrid Set-Valued Differential Equations with Delay by Perturbing Lyapunov Functions
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B. Ahmad
Published/Copyright:
June 9, 2010
Abstract
We study the stability of the zero solution of an impulsive set differential system with delay by means of the perturbing Lyapunov function method. Sufficient conditions for the stability of the zero solution of impulsive set differential equations with delay are presented.
Key words and phrases.: Impulsive set differential equations with delay; stability; asymptotic stability
Received: 2006-11-17
Revised: 2008-05-09
Published Online: 2010-06-09
Published in Print: 2008-December
© Heldermann Verlag
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Keywords for this article
Impulsive set differential equations with delay;
stability;
asymptotic stability
Articles in the same Issue
- Functions Preserving Some Types of Series
- On the Lipschitz Continuity of the Solutions of a Class of Elliptic Free Boundary Problems
- Distortion and Convolutional Theorems for Operators of Generalized Fractional Calculus Involving Wright Function
- Some New Generalizations of Critical Point Theorems for Locally Lipschitz Functions
- Stability of Impulsive Hybrid Set-Valued Differential Equations with Delay by Perturbing Lyapunov Functions
- Existence of Pareto Equilibria for Non-Compact Constrained Multi-Criteria Games
- Uniform Algebras in the Cantor and Baire Spaces
- Bounded Controllers for Uncertain Nonlinear Systems
- On a Refinement Type Equation
- Differential Polynomials Generated by Second Order Linear Differential Equations
- Existence Results of l-Point BVP for Higher Order Differential Equations with One-Dimension p-Laplacian
- Erratum to the Paper “Sufficiency and Duality in Control Problems with Generalized Invexity”