Novel Exponential Stability Criteria of High-Order Neural Networks With Time-Varying Delays

Authors:
Cheng-De Zheng;Huaguang Zhang;Zhanshan Wang
Affiliations:
Dept. of Math., Dalian Jiaotong Univ., Dalian, China;-;-
Venue:
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Year:
2011

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Abstract

The global exponential stability is analyzed for a class of high-order Hopfield-type neural networks with time-varying delays. Based on the Lyapunov stability theory, together with the linear matrix inequality approach and free-weighting matrix method, some less conservative delay-independent and delay-dependent sufficient conditions are presented for the global exponential stability of the equilibrium point of the considered neural networks. Two numerical examples are provided to demonstrate the effectiveness of the proposed stability criteria.