Exponential stability and periodicity of impulsive cellular neural networks with time delays. (English) Zbl 1213.34087
Authors’ abstract: This paper is concerned with the stability and periodicity for a class of impulsive neural networks with delays. By means of fixed point theory and a Lyapunov functional, some sufficient conditions of exponential stability and periodicity are obtained. We can see that impulses do contribute to the stability and periodicity. An example is given to demonstrate the effectiveness of the obtained results.
Reviewer: Guy Katriel (Haifa)
MSC:
| 34K20 | Stability theory of functional-differential equations |
| 34K13 | Periodic solutions to functional-differential equations |
| 92B20 | Neural networks for/in biological studies, artificial life and related topics |
| 34K45 | Functional-differential equations with impulses |
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