Abstract
This Letter deals with the global exponential synchronization of a class of chaotic neural networks with time delays. Based on the the Halanay inequality technique and the Lyapunov stability theory, a delay-independent and decentralized control law is derived to ensure the exponential synchronization of the model and the simpler, less conservative and more efficient results are easy to be verified in engineering applications. Finally, an illustrative example is given to demonstrate the effectiveness of the presented synchronization scheme.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Pecora, L.M., Carroll, T.L.: Synchronization in Chaotic Systems. Phys. Rev. Lett. 64(8), 821–824 (1990)
Carroll, T.L., Pecora, L.M.: Synchronization Chaotic Circuits. IEEE Trans. Circ. Syst. 38(4), 453–456 (1991)
Cheng, C.J., Liao, T.L., Yan, J.J., Hwang, C.C.: Synchronization of Neural Networks by Decentralized Feedback Control. Physics Letters A 338, 28–35 (2005)
Wang, Z.S., Zhang, H.G., Wang, Z.L.: Global Asymptotic Synchronization of a Class of Delayed Chaotic Neural Networks. Journal of Northeastern University (Natural Science) 27(6), 598–601 (2006)
Wang, Z.S., Zhang, H.G., Wang, Z.L.: Global Synchronization of a Class of Chaotic Neural Networks. Acta Physica Sinica 55(6), 2687–2693 (2006)
Cheng, C.J., Liao, T.L., Hwang, C.C.: Exponential Synchronization of a Class of Chaotic Neural Networks. Chaos, Solitons & Fractals 24, 197–206 (2005)
Li, C., Chen, G.: Synchronization in General Complex Dynamical Networks with Coupling Delays. Physica A 343, 263–278 (2004)
Liao, X.X., Chen, G.R., Wang, H.O.: On Global Synchronization of Chaotic Systems. Dynamics of Continuous, Discrete Impulsive Syst. 10, 865–872 (2003)
Cao, J., Li, P., Wang, W.: Global Synchronization in Arrays of Delayed Neural Networks with Constant and Delayed Coupling. Physics Letters A 353, 318–325 (2006)
Jian, J.G., Kong, D.M., Luo, H.G., Liao, X.X.: Exponential Stability of Differential Systems with Separated Variables and Time Delays. J. Center South University (Science and Technology) 36(2), 282–287 (2005)
Liao, X.X., Xiao, D.M.: Globally Exponential Stability of Hopfield Neural Networks with Time-Varying Delays. Acta Electronica Sinica 28(4), 87–90 (2000)
Zhang, J.Y.: Globally Exponential Stability of Neural Networks with Variable Delays. IEEE Transactions on Circuits and Systems -I: Fundamental Theory and Applications 50(2), 288–291 (2003)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2007 Springer Berlin Heidelberg
About this paper
Cite this paper
Jian, J., Wang, B., Liao, X. (2007). Global Exponential Synchronization of Chaotic Neural Networks with Time Delays. In: Liu, D., Fei, S., Hou, Z., Zhang, H., Sun, C. (eds) Advances in Neural Networks – ISNN 2007. ISNN 2007. Lecture Notes in Computer Science, vol 4492. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72393-6_19
Download citation
DOI: https://doi.org/10.1007/978-3-540-72393-6_19
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-72392-9
Online ISBN: 978-3-540-72393-6
eBook Packages: Computer ScienceComputer Science (R0)