Delay-range-dependent exponential stability criteria and decay estimation for switched Hopfield neural networks of neutral type

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 Lyapu...

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Veröffentlicht in:Nonlinear analysis. Hybrid systems 2010-08, Vol.4 (3), p.583-592
Hauptverfasser: Zong, Guangdeng, Liu, Jia, Zhang, Yunxi, Hou, Linlin
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Sprache:eng
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Zusammenfassung: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 for 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.
ISSN:1751-570X
DOI:10.1016/j.nahs.2010.03.004