Lyapunov-Krasovskii stability analysis of nonlinear integro-differential equation
DOI:
https://doi.org/10.14419/ijamr.v7i2.10168Published:
2018-04-28Keywords:
Lyapunov-Krasovskii Functional, Uniform Asymptotic Stability, Integro-Differential Equation.Abstract
The purpose of this paper is to develop a qualitative stability analysis of a class of nonlinear integro-differential equation within the framework of Lyapunov-Krasovskii. We show that the existence of a Lyapunov-Krasovskii functional is a necessary and sufficient condition for the uniform asymptotic stability of the nonlinear Volterra integro-differential equations.
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