Wang, Linshan; Xu, Daoyi Stability for Hopfield neural networks with time delay. (English) Zbl 1012.93054 J. Vib. Control 8, No. 1, 13-18 (2002). Hopfield neural networks with time delay are studied. Sufficient conditions for the existence of an unique equilibrium point and its global asymptotic stability are obtained. Reviewer: Angela Slavova (Sofia) Cited in 8 Documents MSC: 93D20 Asymptotic stability in control theory 92B20 Neural networks for/in biological studies, artificial life and related topics 34K20 Stability theory of functional-differential equations Keywords:Hopfield neural networks; time delay; global stability PDF BibTeX XML Cite \textit{L. Wang} and \textit{D. Xu}, J. Vib. Control 8, No. 1, 13--18 (2002; Zbl 1012.93054) Full Text: DOI References: [1] Cao, J. D., Applied Mathematics and Mechanics 19 (5) pp 425– (1998) [2] Cao, J. D., Applied Mathematics and Mechanics 20 (8) pp 851– (1999) [3] Gopalsamy, K., Stability and Oscillation in Delay Differential Equations of Population Dynamics (1992) · Zbl 0752.34039 [4] Gopalsamy, K., Physica D 76 pp 344– (1994) · Zbl 0815.92001 [5] Hopfield, J. J., Science 233 pp 625– (1986) [6] Jiang, Y. L., Applied Mathematics and Mechanics 21 (3) pp 285– (2000) [7] Liang, X. B., Science in China (Series A) 25 (5) pp 523– (1995) [8] Liao, X. F., IEEE, Transaction on Neural Networks 9 (5) pp 1043– (1998) [9] Liao, X. X., Science in China (Series A) 23 (10) pp 1032– (1993) [10] Liao, X. X., Theory, Methods and Application of Stability (1999) [11] Shen, Y., Acta Electronica Sinia 27 (10) pp 62– (1999) [12] Sigeng, H., Nonlinear Analysis and Methods (1996) [13] Van Den Driesseche, P., SIAM Journal of Applied Mathematics 58 (6) pp 1878– (1998) · Zbl 0917.34036 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.