On the asymptotic stability of a neural network on a time scale
✍ Scribed by T. A. Luk’yanova; A. A. Martynyuk
- Publisher
- Springer US
- Year
- 2011
- Tongue
- English
- Weight
- 252 KB
- Volume
- 13
- Category
- Article
- ISSN
- 1536-0059
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This paper concerns a delayed neural network model Here T is a special time scale, and f is a signal transmission function. According to the discontinuity of signal function, by iteration, we obtain the existence of periodic solutions of the model and their asymptotical stability.
In this paper some novel approaches to the analysis of asymptotic stability of artificial neural networks with time-varying delay are presented. These approaches are based on the Lyapunov-Krasovskii stability theory for functional differential equations and the linear matrix inequality (LMI) techniq