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Robust exponential stability analysis of discrete-time switched Hopfield neural networks with time delay. (English) Zbl 1238.93075
Summary: The robust exponential stability problem in this paper for discrete-time switched Hopfield neural networks with time delay and uncertainty is considered. Firstly, the mathematical model of the system is established. Then by constructing a new Lyapunov–Krasovskii functional, some new delay-dependent criteria are developed, which guarantee the robust exponential stability of discrete-time switched Hopfield neural networks. A numerical example is provided to demonstrate the potential and effectiveness of the results obtained.

##### MSC:
 93D09 Robust stability 93C55 Discrete-time control/observation systems 92B20 Neural networks for/in biological studies, artificial life and related topics
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