Abstract
Some novel criteria are obtained for checking the absolute stability of the equilibrium point for bidirectional associative memory networks with distributed delays, where the activation functions only need to be partially Lipschitz continuous, but not bounded or differentiable.
This work was jointly supported by the National Natural Science Foundation of China, the Natural Science Foundation of Jiangsu Province, China.
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
Anping, C., Jinde, C., Lihong, H.: Exponential Stability of BAM Neural Networks with Transmission Delays. Neurocomputing 57, 435–454 (2004)
Kosko, B.: Bi-directional Associative Memories. IEEE Trans. Systems Man Cybernet 18(1), 49–60 (1988)
Jinde, C., Jun, W.: Absolute Exponential Stability of Recurrent Neural Networks with Lipschitz-continuous Activation Functions and Time Delays. Neural Networks 17, 379–390 (2004)
Jinde, C., Lin, W.: Exponential Stability and Periodic Oscillatory Solution in BAM Networks with Delays. IEEE Trans. Neural Networks 13(2), 457–463 (2002)
Jinde, C., Meifang, D.: Exponential Stability of Delayed Bidirectional Associative Memory Networks. Appl. Math. Comput. 135(1), 105–112 (2003)
Schwartz, J.: Nonlinear Functional Analysis. Gordon and Breach, New York (1969)
Jiye, Z., Yoshihiro, S., Takashi, I.: Absolutely Exponential Stability of a Class of Neural Networks with Unbounded Delay. Neural Networks 17, 391–397 (2004)
Jinde, C.: Global Asymptotic Stability of Delayed Bidirectional Associative Memory Neural Networks. Appl. Math. Comput. 142(2-3), 333–339 (2003)
Jinde, C.: Global Stability Conditions for Delayed CNNs. IEEE Trans. Circuits Syst.-I 48(11), 1330–1333 (2001)
Jinde, C.: A Set of Stability Criteria for Delayed Cellular Neural Networks. IEEE Trans. Circuits Syst.-I 48(4), 494–498 (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
Xiong, W., Jiang, Q. (2004). Absolutely Exponential Stability of BAM Neural Networks with Distributed Delays. 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_19
Download citation
DOI: https://doi.org/10.1007/978-3-540-28647-9_19
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-22841-7
Online ISBN: 978-3-540-28647-9
eBook Packages: Springer Book Archive