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

Gani Stamov, Ivanka Stamova, Xiaodi Li and Ekaterina Gospodinova
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Gani Stamov: Department of Mathematics and Physics, “Prof. Dr. Assen Zlatarov” University, 8010 Burgas, Bulgaria
Ivanka Stamova: Department of Mathematics, University of Texas at San Antonio, San Antonio, TX 78249, USA
Xiaodi Li: School of Mathematics and Statistics, Shandong Normal University, Ji’nan 250014, China
Ekaterina Gospodinova: Department of Mathematics and Physics, “Prof. Dr. Assen Zlatarov” University, 8010 Burgas, Bulgaria

Mathematics, 2019, vol. 7, issue 7, 1-16

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.

Keywords: practical stability; h-manifolds; impulsive functional differential equations; variable impulsive perturbations; Lyapunov–Razumikhin method (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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