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Neural Computing and Applications

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01-09-2014 | Original Article

Passivity analysis for uncertain discrete-time stochastic BAM neural networks with time-varying delays

Authors: R. Raja, U. Karthik Raja, R. Samidurai, A. Leelamani

Published in: Neural Computing and Applications | Issue 3-4/2014

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Abstract

This paper is concerned with the passivity analysis problem for a class of discrete-time stochastic bidirectional associative memory neural networks with time-varying delays. Furthermore, the results are extended to the robust passivity analysis with mixed time delays that consist of both the discrete and distributed time delays, and the uncertainties are assumed to be time-varying norm bounded parameter uncertainties. By constructing a new Lyapunov–Krasovskii functional and introducing some appropriate free-weighting matrices, a delay-dependent passivity criterion is derived in terms of LMIs whose feasibility can be easily checked by some available software packages. Finally, two numerical examples with simulation results are given to demonstrate the effectiveness and usefulness of the proposed results.

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Title: Passivity analysis for uncertain discrete-time stochastic BAM neural networks with time-varying delays
Authors: R. Raja
U. Karthik Raja
R. Samidurai
A. Leelamani
Publication date: 01-09-2014
Publisher: Springer London
Published in: Neural Computing and Applications / Issue 3-4/2014
Print ISSN: 0941-0643
Electronic ISSN: 1433-3058
DOI: https://doi.org/10.1007/s00521-014-1545-9

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