New Passivity Analysis for Neural Networks with Discrete and Distributed Delays

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Li, Hongyi, 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

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.

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Item type Article
URI https://vuir.vu.edu.au/id/eprint/7448
DOI https://doi.org/10.1109/TNN.2010.2059039
Official URL http://dx.doi.org/10.1109/TNN.2010.2059039
Subjects Historical > Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM)
Current > FOR Classification > 0802 Computation Theory and Mathematics
Historical > SEO Classification > 970108 Expanding Knowledge in the Information and Computing Sciences
Keywords ResPubID19945, distributed delays, neural networks (NNs), passivity, time-varying delays
Citations in Scopus 183 - View on Scopus
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