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New Passivity Analysis for Neural Networks with Discrete and Distributed Delays

Li, Hongyi and Gao, Huijun and Shi, Peng (2010) New Passivity Analysis for Neural Networks with Discrete and Distributed Delays. IEEE Transactions on Neural Networks, 21 (11). pp. 1842-1847. ISSN 1045-9227

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Abstract

In this brief, the problem of passivity analysis is investigated for a class of uncertain neural networks (NNs) with both discrete and distributed time-varying delays. By constructing a novel Lyapunov functional and utilizing some advanced techniques, new delay-dependent passivity criteria are established to guarantee the passivity performance of NNs. Essentially different from the available results, when estimating the upper bound of the derivative of Lyapunov functionals, we consider and best utilize the additional useful terms about the distributed delays, which leads to less conservative results. These criteria are expressed in the form of convex optimization problems, which can be efficiently solved via standard numerical software. Numerical examples are provided to illustrate the effectiveness and less conservatism of the proposed results.

Item Type: Article
Uncontrolled Keywords: ResPubID19945, distributed delays, neural networks (NNs), passivity, time-varying delays
Subjects: Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM)
FOR Classification > 0802 Computation Theory and Mathematics
SEO Classification > 970108 Expanding Knowledge in the Information and Computing Sciences
Depositing User: VUIR
Date Deposited: 20 Dec 2011 22:21
Last Modified: 28 May 2012 02:13
URI: http://vuir.vu.edu.au/id/eprint/7448
DOI: 10.1109/TNN.2010.2059039
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Citations in Scopus: 92 - View on Scopus

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