Existence and global exponential stability of equilibrium for discrete-time fuzzy BAM neural networks with variable delays and impulses

Authors:
Yongkun Li;Chao Wang
Affiliations:
Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, People's Republic of China;Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, People's Republic of China
Venue:
Fuzzy Sets and Systems
Year:
2013

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Abstract

In this paper, we study a class of discrete-time fuzzy BAM neural networks with variable delays and impulses. Based on M-matrix theory and analytic methods, some sufficient conditions are established for the existence and global exponential stability of a unique equilibrium. Moreover, the exponential convergence rate index is estimated. A numerical example is given to show the effectiveness of the obtained results. In particular, the simulation figures establish that fuzzy systems do have more advantages than non-fuzzy systems.