Stability of Differential Systems with Impulsive Effects

Author:

Li Chunxiang1,Hui Fangshu1,Li Fangfei23

Affiliation:

1. Department of Mathematics and Physics, Faculty of Military Medical Services, Naval Medical University, Shanghai 200433, China

2. School of Mathematics, East China University of Science and Technology, Shanghai 200237, China

3. Key Laboratory of Smart Manufacturing in Energy Chemical Process, Ministry of Education, East China University of Science and Technology, Shanghai 200237, China

Abstract

In this paper, a brief survey on the stability of differential systems with impulsive effects is provided. A large number of research results on the stability of differential systems with impulsive effects are considered. These systems include impulsive differential systems, stochastic impulsive differential systems and differential systems with several specific impulses (non-instantaneous impulses, delayed impulses, impulses suffered by logic choice and impulse time windows). The stability issues as well as the applications in neural networks are discussed in detail.

Funder

National Natural Science Foundation of China

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference132 articles.

1. Bainov, D.D., and Simeonov, P.S. (1989). Systems with Impulse Effect: Stability, Theory and Applications, Ellis Horwood.

2. Lakshmikantham, V., Bainov, D.D., and Simeonov, P.S. (1989). Theory of Impulsive Differential Equations, World Scientific.

3. Razumikhin-type theorem for pth exponential stability of impulsive stochastic functional differential equations based on vector Lyapunov function;Cao;Nonlinear Anal.-Hybrid Syst.,2021

4. Stability analysis of a class of stochastic differential delay equations with nonlinear impulsive effects;Li;J. Frankl. Inst.-Eng. Appl. Math.,2010

5. Exponential stability of non-linear stochastic delay differential system with generalized delay-dependent impulsive points;Rengamannar;Appl. Math. Comput.,2020

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