Passivity analysis for neural networks with a time-varying delay

Authors:
Hong-Bing Zeng;Yong He;Min Wu;Shen-Ping Xiao
Affiliations:
School of Information Science and Engineering, Central South University, Changsha 410083, China and School of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou 412008 ...;School of Information Science and Engineering, Central South University, Changsha 410083, China;School of Information Science and Engineering, Central South University, Changsha 410083, China;School of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou 412008, China
Venue:
Neurocomputing
Year:
2011

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Abstract

This paper deals with the problem of passivity analysis for neural networks with both time-varying delay and norm-bounded parameter uncertainties by employing an improved free-weighting matrix approach. Some useful terms have been retained, which were used to be ignored in the derivative of Lyapunov-Krasovskii functional. Furthermore, the relationship among the time-varying delay, its upper bound and their difference is taken into account. As a result, for two types of time-varying delays, less conservative delay-dependent passivity conditions are obtained in terms of linear matrix inequalities (LMIs), respectively. Finally, a numerical example is given to demonstrate the effectiveness of the proposed techniques.