Passivity analysis of stochastic neural networks with time-varying delays and leakage delay

Authors:
Zhenjiang Zhao;Qiankun Song;Shaorong He
Affiliations:
Department of Mathematics, Huzhou Teachers College, Huzhou 313000, China;Department of Mathematics, Chongqing Jiaotong University, Chongqing 400074, PR China;School of Computer Science, Sichuan University of Science and Engineering, Zigong 643000, China
Venue:
Neurocomputing
Year:
2014

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Abstract

In this paper, the passivity problem is investigated for a class of stochastic neural networks with time-varying delays and leakage delay as well as generalized activation functions. By employing a combination of Lyapunov functional, the free-weighting matrix method and stochastic analysis technique, several delay-dependent criteria for the passivity of the addressed neural networks are established in terms of linear matrix inequalities (LMIs), which can be checked numerically using the effective LMI toolbox in MATLAB. An example with simulations is given to show the effectiveness and less conservatism of the proposed criteria.