New LMT-based delay-dependent criterion for global asymptotic stability of cellular neural networks

Authors:
Cheng-De Zheng;Lai-Bing Lu;Zhan-Shan Wang
Affiliations:
School of Science, Dalian Jiaotong University, Dalian 116028, PR China and School of Information Science and Engineering, Northeastern University, Shenyang 110004, PR China;School of Science, Dalian Jiaotong University, Dalian 116028, PR China;School of Information Science and Engineering, Northeastern University, Shenyang 110004, PR China
Venue:
Neurocomputing
Year:
2009

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Abstract

The problem of global asymptotic stability analysis is studied for a class of cellular neural networks with time-varying delay. By defining a Lyapunov-Krasovskii functional, a new delay-dependent stability condition is derived in terms of linear matrix inequalities. The obtained criterion is less conservative than some previous literature because free-weighting matrix method and the Jensen integral inequality are considered. Three illustrative examples are given to demonstrate the effectiveness of the proposed results.