On passivity analysis for stochastic neural networks with interval time-varying delay

Authors:
Jie Fu;Huaguang Zhang;Tiedong Ma;Qingling Zhang
Affiliations:
School of Information Science and Engineering, Northeastern University, Shenyang 110004, PR China and College of Automation, Chongqing University, Chongqing 400030, PR China;School of Information Science and Engineering, Northeastern University, Shenyang 110004, PR China;School of Information Science and Engineering, Northeastern University, Shenyang 110004, PR China and College of Automation, Chongqing University, Chongqing 400030, PR China;The Institute of Systems Science, Northeastern University, Shenyang 110004, PR China
Venue:
Neurocomputing
Year:
2010

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Abstract

The passivity problem of stochastic neural networks (SNNs) with interval time-varying delay and norm-bounded parameter uncertainties is investigated in this paper. By constructing appropriate Lyapunov-Krasovskii functional and employing an improved inequality, some delay-dependent passivity criteria are obtained in the linear matrix inequality (LMI) format. The main contribution of this paper is that a tighter upper bound of the differential of Lyapunov-Krasovskii functional is obtained by an improved approximation method. Numerical examples are given to illustrate the effectiveness and less conservatism of the proposed method.