New results for exponential stability of delayed cellular neural networks

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Sibel Senan, Sabri Arik

Published: 01 Jan 2005, Last Modified: 11 Jun 2025IEEE Trans. Circuits Syst. II Express Briefs 2005EveryoneRevisionsBibTeXCC BY-SA 4.0
Abstract: This brief presents new sufficient conditions for the global exponential stability of the equilibrium point for delayed cellular neural networks (DCNNs). It is shown that the use of a more general type of Lyapunov-Krasovskii functional enables us to derive new results for exponential stability of the equilibrium point for DCNNs. The results establish a relation between the delay time and the parameters of the network. The results are also compared with one of the most recent results derived in the literature.