State estimation for discrete-time neural networks with time-varying delay

Zheng‐Guang Wu, Peng Jia Shi, Hongye Su, Jian Chu · International Journal of Systems Science · 2010

This article deals with the problem of delay-dependent state estimation for discrete-time neural networks with time-varying delay. Our objective is to design a state estimator for the neuron states through available output measurements such that the error state system is guaranteed to be globally exponentially stable. Based on the linear matrix inequality approach, a delay-dependent condition is developed for the existence of the desired state estimator via a novel Lyapunov functional. The obtained condition has less conservativeness than the existing ones, which is demonstrated by a numerical example.

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