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Stability in Cohen–Grossberg-type bidirectional associative memory neural networks with time-varying delays

2006; IOP Publishing; Volume: 19; Issue: 7 Linguagem: Inglês

10.1088/0951-7715/19/7/008

1361-6544

Jinde Cao, Qiankun Song,

Nonlinear Dynamics and Pattern Formation

In this paper, the exponential stability problem is investigated for a class of Cohen–Grossberg-type bidirectional associative memory neural networks with time-varying delays. By using the analysis method, inequality technique and the properties of an M-matrix, several novel sufficient conditions ensuring the existence, uniqueness and global exponential stability of the equilibrium point are derived. Moreover, the exponential convergence rate is estimated. The obtained results are less restrictive than those given in the earlier literature, and the boundedness and differentiability of the activation functions and differentiability of the time-varying delays are removed. Two examples with their simulations are given to show the effectiveness of the obtained results.