Abstract
This paper is concerned with the stability problem for stochastic bidirectional associative memory neural networks with distributed time delays. By applying the Lyapunov functional method, the semimartingale convergence theorem, and some inequality techniques, some sufficient conditions are derived to guarantee the almost sure exponential stability of the system. One example is provided at the end of this paper to show the effectiveness of our results.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Kosko, B.: Adaptive bidirectional associative memories. Appl. Optics. 26, 4947–4960 (1987)
Kosko, B.: Bidirectional associative memories. IEEE Trans. Syst. Man Cybern. 18(1), 49–60 (1988)
Gopalsamy, K., He, X.: Delay-independent stability in bidirectional associative memory networks. IEEE Trans. Neural Netw. 5, 998–1002 (1994)
Liang, J., Cao, J.: Exponential stability of continuous-time and discrete-time bidirectional associative memory networks with delays. Chaos Solitons Fractals 22(4), 773–785 (2004)
Song, Q., Cao, J.: Global exponential stability of bidirectional associative memory neural networks with distributed delays. J. Computat. Appl. Math. 202, 266–279 (2007)
Liao, X., Mao, X.: Exponential stability and instability of stochastic neural network. Stochastic Analysis and Applications 14, 165–185 (1996)
Blythe, S., Mao, X., Liao, X.: Stability of stochastic delay neural networks. Journal of the Franklin Institute 338, 481–495 (2001)
Wang, Z., Liu, Y., Li, M., Liu, X.: Stability analysis for stochastic Cohen-Grossberg neural networks with mixed time delays. IEEE Trans. Neural Netw. 17, 814–820 (2006)
Zhao, H., Ding, N.: Dynamic analysis of stochastic bidirectional associative memory neural networks with delays. Chaos Solitons Fractals 32, 1692–1702 (2007)
Wang, G., Cao, J.: Stability analysis for stochastic BAM neural networks with Markovian jumping parameters. Neurocomputing 72, 3901–3906 (2009)
Mao, X.: Stochastic Differential Equation and Application. Horwood Publishing, Chichester (1997)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Wang, G. (2010). Stability Analysis for Stochastic BAM Neural Networks with Distributed Time Delays. In: Zhang, L., Lu, BL., Kwok, J. (eds) Advances in Neural Networks - ISNN 2010. ISNN 2010. Lecture Notes in Computer Science, vol 6063. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13278-0_92
Download citation
DOI: https://doi.org/10.1007/978-3-642-13278-0_92
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-13277-3
Online ISBN: 978-3-642-13278-0
eBook Packages: Computer ScienceComputer Science (R0)