Abstract
Discrete Hopfield neural networks with delay are extension of discrete Hopfield neural networks. The stability of the networks is known to be bases of successful applications of the networks. The stability of discrete Hopfield neural networks with delay is mainly investigated in serial mode. Several new sufficient conditions for the networks with delay converging towards a stable state are obtained. The obtained results here generalize the existing results on stability of both discrete Hopfield neural networks without delay and with delay in serial mode.
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
Hopfield, J.J.: Neural networks and physical systems emergent collective computational abilities. Proc. Nat. Acad. Sci. USA 79, 2554–2558 (1982)
Bruck, J.: On the convergence properties of the Hopfield model. Proceedings IEEE 78, 1579–1585 (1990)
Xu, Z., Kwong, C.P.: Global convergence and asymptotic stability of asymmetrical Hopfield neural networks. J. Mathematical Analysis and Applications 191, 405–426 (1995)
Lee, D.: New stability conditions for Hopfield neural networks in partial simultaneous update mode. IEEE,Trans.Neural Networks 10, 975–978 (1999)
Ma, R., Zhang, Q., Xu, J.: Convergence of discrete-time cellular neural networks. Chinese J. Electronics 11, 352–356 (2002)
Qiu, S., Tang, E.C.C., Yeung, D.S.: Stability of discrete Hopfield neural networks with time-delay. In: Proceedings of IEEE International Conference on system, Man Cybernetics, pp. 2546–2552 (2000)
Qiu, S., Xu, X., Liu, M., et al.: Convergence of discrete Hopfield-type neural network with delay in serial mode. J. Computer Research and Development 36, 546–552 (1999)
Ma, R., Zhang, Q., Xu, J.: Convergence of discrete Hopfield neural network with delay in serial mode. J. Xidian University 28, 598–602 (2001)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Ma, R., Xi, Y., Gao, H. (2004). Stability of Discrete Hopfield Networks with Delay in Serial Mode. In: Yin, FL., Wang, J., Guo, C. (eds) Advances in Neural Networks – ISNN 2004. ISNN 2004. Lecture Notes in Computer Science, vol 3173. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-28647-9_22
Download citation
DOI: https://doi.org/10.1007/978-3-540-28647-9_22
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-22841-7
Online ISBN: 978-3-540-28647-9
eBook Packages: Springer Book Archive