Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
410008 | Neurocomputing | 2012 | 8 Pages |
Abstract
This paper investigates exponential stability of the equilibrium point of discrete-time delayed dynamic systems with impulsive effects. Firstly, some Razumikhin-type theorems considering stabilizing effects of impulses are introduced. These results show that even the impulse-free component of the original system is unstable; impulses may compensate the deviating trend. Then, we apply the theoretical results to a class of recurrent neural networks under stochastic perturbations and derive several stability preservation criteria; the applicable region of the impulsive strength is also estimated. Some numerical examples are provided to illustrate the efficiency of the results at the end.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Sichao Wu, Chuandong Li, Xiaofeng Liao, Shukai Duan,