Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6953137 | Journal of the Franklin Institute | 2017 | 25 Pages |
Abstract
This paper mainly tends to consider the fixed-time stability behavior for impulsive dynamical systems. An efficient theorem is established to construct an impulsive comparison system. By means of inequality analysis method, certain average impulsive interval and Lyapunov function, some sufficient conditions are given to ensure the fixed-time stability of impulsive dynamical systems. Moreover, as an important application, the fixed-time stabilization of a class of coupled impulsive neural networks is proposed. By designing a discontinuous control law, several new criteria are obtained to guarantee the fixed-time stabilization of the coupled impulsive neural networks. Finally, two numerical simulations are provided to illustrate the validity of the theoretical analysis.
Related Topics
Physical Sciences and Engineering
Computer Science
Signal Processing
Authors
Hongfei Li, Chuandong Li, Tingwen Huang, Deqiang Ouyang,