Passivity analysis of stochastic delayed neural networks with Markovian switching

Authors:
Song Zhu;Yi Shen
Affiliations:
College of Sciences, China University of Mining and Technology, Xuzhou 221116, China and Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, ...;Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
Venue:
Neurocomputing
Year:
2011

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Abstract

In this paper, the problem of passivity analysis is investigated for a class of stochastic delayed neural networks with Markovian switching. By applying Lyapunov functional and free-weighting matrix, delay-dependent/independent passivity criteria are presented in terms of linear matrix inequalities. The results herein include existing ones for neural networks without Markovian switching as special cases. An example is given to demonstrate the effectiveness of the proposed criteria.