کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
409496 | 679074 | 2015 | 8 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Mean-square exponentially input-to-state stability of stochastic Cohen–Grossberg neural networks with time-varying delays Mean-square exponentially input-to-state stability of stochastic Cohen–Grossberg neural networks with time-varying delays](/preview/png/409496.png)
• First, we extend the Halanay inequality established in [33] to the stochastic Halanay delay differential inequality with variable coefficients such that it is effective for stochastic functional systems.
• Second, we remove the rather restrictive condition that τ̇(t)<1, which is required in [5], [13], [14], [30], [31] and [32]. So our result is less conservative.
• Finally, compared with the results in [13], [14] and [16], our model is more general and more practical since we considered the stochastic effect and variable coefficients.
In this paper, a class of stochastic Cohen–Grossberg neural networks with time-varying delays is considered. By utilizing Razumikhin technique and constructing new Halanay differential inequalities, some sufficient conditions ensuring the mean-square exponential input-to-state stability of the networks are obtained. Two numerical examples are given to illustrate the efficiency of the derived results.
Journal: Neurocomputing - Volume 153, 4 April 2015, Pages 54–61