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On the global stability of delayed neural networks

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4 Author(s)
Qiang Zhang ; Inst. of Electron. Eng., Xidian Univ., Xi''an, China ; Runnian Ma ; Chao Wang ; Jin Xu

Lyapunov functional methods, combining with some inequality techniques, are employed to study the global asymptotic stability of delayed neural networks. Without assuming Lipschitz conditions on the activation functions, a new sufficient condition is established. Such criteria allows us to include non-Lipschitzian activation functions in the design of delayed neural networks. The result presented here is also discussed from the point of view of its relationship to some previous results.

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Automatic Control, IEEE Transactions on  (Volume:48 ,  Issue: 5 )