Article ID: | iaor20123990 |
Volume: | 82 |
Issue: | 8 |
Start Page Number: | 1531 |
End Page Number: | 1543 |
Publication Date: | Apr 2012 |
Journal: | Mathematics and Computers in Simulation |
Authors: | He Danhua, Li Dingshi, Xu Daoyi |
Keywords: | control, stochastic processes |
In this paper, we establish a method to study the mean square exponential stability of the zero solution of impulsive stochastic reaction‐diffusion Cohen–Grossberg neural networks with delays. By using the properties of M‐cone and inequality technique, we obtain some sufficient conditions ensuring mean square exponential stability of the zero solution of impulsive stochastic reaction‐diffusion Cohen–Grossberg neural networks with delays. The sufficient conditions are easily checked in practice by simple algebra methods and have a wider adaptive range. Two examples are also discussed to illustrate the efficiency of the obtained results.