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