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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:
93C15Control systems governed by ODE
93D05Lyapunov and other classical stabilities of control systems
92B20General theory of neural networks (mathematical biology)