Delay-dependent exponential stability for a class of neural networks with time delays

This paper is concerned with the exponential stability of a class of delayed neural networks described by nonlinear delay differential equations of the neutral type. In terms of a linear matrix inequality (LMI), a sufficient condition guaranteeing the existence, uniqueness and global exponential sta...

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Veröffentlicht in:Journal of computational and applied mathematics 2005-11, Vol.183 (1), p.16-28
Hauptverfasser: Xu, Shengyuan, Lam, James, Ho, Daniel W.C., Zou, Yun
Format: Artikel
Sprache:eng
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Zusammenfassung:This paper is concerned with the exponential stability of a class of delayed neural networks described by nonlinear delay differential equations of the neutral type. In terms of a linear matrix inequality (LMI), a sufficient condition guaranteeing the existence, uniqueness and global exponential stability of an equilibrium point of such a kind of delayed neural networks is proposed. This condition is dependent on the size of the time delay, which is usually less conservative than delay-independent ones. The proposed LMI condition can be checked easily by recently developed algorithms solving LMIs. Examples are provided to demonstrate the effectiveness and applicability of the proposed criteria.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2004.12.025