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Zbl 1200.93072
Zong, Guangdeng; Liu, Jia; Zhang, Yunxi; Hou, Linlin
Delay-range-dependent exponential stability criteria and decay estimation for switched Hopfield neural networks of neutral type. (English)
[J] Nonlinear Anal., Hybrid Syst. 4, No. 3, 583-592 (2010). ISSN 1751-570X

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 2000:: *93C15 Control systems governed by ODE
93D05 Lyapunov and other classical stabilities of control systems
92B20 General theory of neural networks

Keywords: global exponential stability; switched Hopfield neural networks (SHNNs); interval time-varying delays; Lyapunov-Krasovskii functional; average dwell time

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