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Article

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

by 1,†,‡, 2,*,‡, 3,‡ and 1,‡
1
Department of Mathematics and Physics, “Prof. Dr. Assen Zlatarov” University, 8010 Burgas, Bulgaria
2
Department of Mathematics, University of Texas at San Antonio, San Antonio, TX 78249, USA
3
School of Mathematics and Statistics, Shandong Normal University, Ji’nan 250014, China
*
Author to whom correspondence should be addressed.
Current address: Department of Mathematics, University of Texas at San Antonio, San Antonio, TX 78249, USA.
These authors contributed equally to this work.
Mathematics 2019, 7(7), 656; https://doi.org/10.3390/math7070656
Received: 21 May 2019 / Revised: 16 July 2019 / Accepted: 18 July 2019 / Published: 21 July 2019
(This article belongs to the Special Issue Impulsive Control Systems and Complexity)
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. View Full-Text
Keywords: practical stability; h-manifolds; impulsive functional differential equations; variable impulsive perturbations; Lyapunov–Razumikhin method practical stability; h-manifolds; impulsive functional differential equations; variable impulsive perturbations; Lyapunov–Razumikhin method
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MDPI and ACS Style

Stamov, G.; Stamova, I.; Li, X.; Gospodinova, E. Practical Stability with Respect to h-Manifolds for Impulsive Control Functional Differential Equations with Variable Impulsive Perturbations. Mathematics 2019, 7, 656. https://doi.org/10.3390/math7070656

AMA Style

Stamov G, Stamova I, Li X, Gospodinova E. Practical Stability with Respect to h-Manifolds for Impulsive Control Functional Differential Equations with Variable Impulsive Perturbations. Mathematics. 2019; 7(7):656. https://doi.org/10.3390/math7070656

Chicago/Turabian Style

Stamov, Gani, Ivanka Stamova, Xiaodi Li, and Ekaterina Gospodinova. 2019. "Practical Stability with Respect to h-Manifolds for Impulsive Control Functional Differential Equations with Variable Impulsive Perturbations" Mathematics 7, no. 7: 656. https://doi.org/10.3390/math7070656

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