Global exponential stability of a class of neural circuits

Xue-Bin Liang, Lide Wu · IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications · 1999

This paper obtains the global exponential stability (GES) of the class of Hopfield-Tank neural circuits, which can represent a generalization of the existing stability results in the sense that only the global asymptotic stability (GAS) of the neural circuits was obtained under existing sufficient conditions in the literature. An example of a neural circuit which is globally asymptotically stable (GAS) rather than globally exponentially stable (GES) is also given.

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