Global Robust Passivity Analysis for Stochastic Interval Neural Networks with Interval Time‐Varying Delays and Markovian Jumping Parameters

Global Robust Passivity Analysis for Stochastic Interval Neural Networks with Interval Time‐Varying Delays and Markovian Jumping Parameters

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Article ID: iaor20112653
Volume: 149
Issue: 1
Start Page Number: 197
End Page Number: 215
Publication Date: Apr 2011
Journal: Journal of Optimization Theory and Applications
Authors: ,
Keywords: neural networks, stochastic processes, matrices
Abstract:

In this paper, the problem of passivity analysis is investigated for stochastic interval neural networks with interval time‐varying delays and Markovian jumping parameters. By constructing a proper Lyapunov‐Krasovskii functional, utilizing the free‐weighting matrix method and some stochastic analysis techniques, we deduce new delay‐dependent sufficient conditions, that ensure the passivity of the proposed model. These sufficient conditions are computationally efficient and they can be solved numerically by linear matrix inequality (LMI) Toolbox in Matlab. Finally, numerical examples are given to verify the effectiveness and the applicability of the proposed results.

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