Abstract
In this paper, the stability of Hopfield Neural Networks with Time-Varying Delay is investigated by means of Lyapunov functions and the generalized Halanay delay differential inequality. The obtained results are the algebraic criteria entirely and are obviously practical
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Jiao, L.C.: Neural Network System Theory. The Press of Xidian University, Xian (1992)
Xu, B.Z., Zhang, B.L., Wei, G.: Neural Network Theory and Application. The Press of South China university of Technology, Guangzhou (1994)
Halanory, A.: Differential Equations: Stability Oscillations Time-lags. Academic, New York (1996)
Liao, X.X., Liao, Y.: Stability of Hopfield-type Neural Networks (II). Science in China 40(8), 813–816 (1997)
Liao, X.X.: Stability of Hopfield-type Neural Networks (I). Science in China 38(4), 407–418 (1995)
Sudnarsanan, S.I., Sundaroshan, M.K.: Exponential Stability and Systematic Synthesis of a Neural for Quadratic Migration Neural Networks 4(5), 599–613 (1991)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Xiao, H. (2009). Stability of Hopfield Neural Networks with Time-Varying Delay. In: Yu, W., He, H., Zhang, N. (eds) Advances in Neural Networks – ISNN 2009. ISNN 2009. Lecture Notes in Computer Science, vol 5551. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01507-6_44
Download citation
DOI: https://doi.org/10.1007/978-3-642-01507-6_44
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-01506-9
Online ISBN: 978-3-642-01507-6
eBook Packages: Computer ScienceComputer Science (R0)