Abstract
This paper addresses the local stability of the delayed Cohen-Grossberg neural networks (CGNNs). A sufficient condition for the local exponential stability of an equilibrium point is presented, and the size of the attractive basin of a locally exponentially stable equilibrium point is estimated. Finally, the utility of our results is illustrated via a numerical example.
This is a preview of subscription content, log in via an institution to check access.
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
Li, C., Yang, S.: Existence and Attractivity of Periodic Solutions to Non-autonomous Cohen-Grossberg Neural Networks with Time Delays. Chaos, Solitons and Fractals 41, 1235–1244 (2009)
Tan, M., Zhang, Y.: New Sufficient Conditions for Global Asymptotic Stability of Cohen-Grossberg Neural Networks with Time-Varying Delays. Nonlinear Analysis: Real World Applications 10, 2139–2145 (2009)
Xiang, H., Cao, J.: Almost Periodic Solution of Cohen-Grossberg Neural Networks with Bounded and Unbounded Delays. Nonlinear Analysis: Real World Applications 10, 2407–2419 (2009)
Zhou, Q., Wan, L.: Impulsive Effects on Stability of Cohen-Grossberg-Type Bidirectional Associative Memory Neural Networks with Delays. Nonlinear Analysis: Real World Applications 10, 2531–2540 (2009)
Yang, X., Liao, X., Li, C., Tang, Y.: Local Stability and Attractive Basin of Cohen-Grossberg Neural Networks. Nonlinear Analysis: Real World Applications 10, 2834–2841 (2009)
Yang, X.: Existence and Global Exponential Stability of Periodic Solution for Cohen-Grossberg Shunting Inhibitory Cellular Neural Networks with Delays and Impulses. Neurocomputing 72, 2219–2226 (2009)
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
Wu, A., Fu, C., Fu, X. (2010). Stability and Attractive Basin of Delayed Cohen-Grossberg Neural Networks. 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_83
Download citation
DOI: https://doi.org/10.1007/978-3-642-13278-0_83
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)