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Integral manifolds for uncertain impulsive differential–difference equations with variable impulsive perturbations

Authors
Journal
Chaos Solitons & Fractals
0960-0779
Publisher
Elsevier
Volume
65
Identifiers
DOI: 10.1016/j.chaos.2014.05.002

Abstract

Abstract In the present paper sufficient conditions for the existence of integral manifolds of uncertain impulsive differential–difference equations with variable impulsive perturbations are obtained. The investigations are carried out by means the concepts of uniformly positive definite matrix functions, Hamilton–Jacobi–Riccati inequalities and piecewise continuous Lyapunov’s functions.

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