A new stability criterion for discrete-time neural networks: Nonlinear spectral radius

K.L. Mak, J.G. Peng, Z.B. Xu and K.F.C. Yiu

Chaos, Solitons & Fractals, 2007, vol. 31, issue 2, 424-436

Abstract: In this paper, the exponential stability of nonlinear discrete-time systems is studied. A novel notion of nonlinear spectral radius is defined. Under the assumption of Lipschitz continuity for the activation function, the developed approach is applied to stability analysis of discrete-time neural networks. A series of sufficient conditions for global exponential stability of the neural networks are established and an estimate of the exponential decay rate is also derived for each case.

Date: 2007
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:31:y:2007:i:2:p:424-436

DOI: 10.1016/j.chaos.2005.09.075

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