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Passivity analysis for uncertain stochastic neural networks with discrete interval and distributed time-varying delays

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2 Author(s)
Balasubramaniam, P. ; Department of Mathematics, Gandhigram Rural University, Gandhigram 624 302, Tamilnadu, India ; Nagamani, G.

The problem of passivity analysis is investigated for uncertain stochastic neural networks with discrete interval and distributed time-varying delays. The parameter uncertainties are assumed to be norm bounded and the delay is assumed to be time-varying and belongs to a given interval, which means that the lower and upper bounds of interval time-varying delays are available. By constructing proper Lyapunov-Krasovskii functional and employing a combination of the free-weighting matrix method and stochastic analysis technique, new delay-dependent passivity conditions are derived in terms of linear matrix inequalities (LMls). Finally, numerical examples are given to show the less conservatism of the proposed conditions.

Published in:

Systems Engineering and Electronics, Journal of  (Volume:21 ,  Issue: 4 )