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Delay-range-dependent exponential stability criteria and decay estimation for switched Hopfield neural networks of neutral type. (English) Zbl 1200.93072

Summary: This paper is concerned with the problem of delay-range-dependent global exponential stability and decay estimation for a class of Switched Hopfield Neural Networks (SHNNs) of neutral type. An average dwell time method is introduced into switched Hopfield neural networks. By constructing a new Lyapunov-Krasovskii functional and designing a switching law, some criteria are proposed for guaranteeing exponential stability of a given system, while the exponential decay estimation is explicitly developed for the states. A numerical example is provided to demonstrate the effectiveness of the main results.

MSC:

93C15 Control/observation systems governed by ordinary differential equations
93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
92B20 Neural networks for/in biological studies, artificial life and related topics
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