Abstract
By using a technique of model transformation of the system, a new type of Lyapunov functional is introduced. By applying this new Lyapunov functional, a novel delay-dependent sufficient condition of exponential stability in mean square for stochastic Hopfield delay neural networks is derived in terms of linear matrix inequalities (LMIs). A delay-independent sufficient condition is also presented. Numerical examples show that the proposed method is less conservative than the previous ones.
| Translated title of the contribution | Exponential stability in mean square for stochastic Hopfield delay neural networks : an LMI approach |
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| Original language | Chinese (Simplified) |
| Pages (from-to) | 109-117 |
| Number of pages | 9 |
| Journal | Acta Mathematica Scientia. Series A |
| Volume | 27 |
| Issue number | 1 |
| Publication status | Published - 2007 |