On the global stability of delayed neural networks

Qiang Zhang, Runnian Ma, Chao Wang, Jin Xu · IEEE Transactions on Automatic Control · 2003

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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