Practical Stability with Respect to h-Manifolds for Impulsive Control Functional Differential Equations with Variable Impulsive Perturbations

Date
2019-07-21
Authors
Stamov, Gani
Stamova, Ivanka
Li, Xiaodi
Gospodinova, Ekaterina
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract

The present paper is devoted to the problems of practical stability with respect to h-manifolds for impulsive control differential equations with variable impulsive perturbations. We will consider these problems in light of the Lyapunov–Razumikhin method of piecewise continuous functions. The new results are applied to an impulsive control cellular neural network model with variable impulsive perturbations.

Description
Keywords
practical stability, h-manifolds, impulsive functional differential equations, variable impulsive perturbations, Lyapunov–Razumikhin method
Citation
Mathematics 7 (7): 656 (2019)
Department
Mathematics