Skip to main content

Synchronization between Two Different Chaotic Neural Networks with Fully Unknown Parameters

  • Conference paper
Advances in Neural Networks – ISNN 2009 (ISNN 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5552))

Included in the following conference series:

  • 1385 Accesses

Abstract

This paper presents the adaptive synchronization between two different chaotic neural networks with fully unknown parameters and with time-delay. Based on the Lyapunov stability theory, the delay-dependent adaptive synchronization controller is designed to asymptotically synchronizing two different chaotic neural networks. A parameter update law is also given. The designed controller can easily be implemented in practice. An illustrative example is given to demonstrate the effectiveness of the present method.

This work is supported by a grant from National Laboratory of Space Intelligent Control and Open Foundation (No.SIC07010202) and the National Natural Science Foundation of China (No. 60604010, No. 90716021, No. 60736023).

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Chen, T.: Global Exponential Stability of Delayed Hopfield Neural Networks. Neural Networks 14, 977–980 (2001)

    Article  Google Scholar 

  2. Chen, T., Lu, W., Chen, G.: Dynamical Behaviors of a Large Class of General Delayed Neural Networks. Neural Computation 17, 949–968 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  3. Forti, M., Nistri, P., Papini, D.: Global Exponential Stability and Global Convergence in Finite Time of Delayed Neural Networks with Infinite Gain. IEEE Transactions on Neural Networks 16, 1449–1463 (2005)

    Article  Google Scholar 

  4. Gilli, M.: Strange Attractors in Delayed Cellular Neural Networks. IEEE Transactions on Circuits and Systems-I 40, 849–853 (1993)

    Article  MathSciNet  MATH  Google Scholar 

  5. Liao, T.L., Tsai, S.H.: Adaptive Synchronization of Chaotic Systems and Its Application to Secure Communications. Chaos, Solitons and Fractals 11, 1387–1396 (2000)

    Article  MATH  Google Scholar 

  6. Liu, Q., Cao, J., Xia, Y.: A Delayed Neural Network for Solving Linear Projection Equations and Its Analysis. IEEE Transactions on Neural Networks 16, 834–843 (2005)

    Article  Google Scholar 

  7. Liu, D., Zhang, Y., Zhang, H.: Self-learning Call Admission Control for CDMA Cellular Networks. IEEE Transactions on Neural Networks 15, 1219–1228 (2005)

    Article  Google Scholar 

  8. Liu, D., Xiong, X., DasGupta, B., Zhang, H.: Motif Discoveries in Unaligned Molecular Sequences Using Self-organizing Neural Networks. IEEE Transactions on Neural Networks 17, 919–928 (2006)

    Article  Google Scholar 

  9. Lu, H.: Chaotic Attractors in Delayed Neural Networks. Physics Letters A 298, 109–116 (2002)

    Article  MATH  Google Scholar 

  10. Pecora, L.M., Carroll, T.L.: Synchronization in Chaotic Systems. Physics Review Letters 64, 821–824 (1990)

    Article  MathSciNet  MATH  Google Scholar 

  11. Qi, H., Qi, L.: Deriving Sufficient Conditions for Global Asymptotic Stability of Delayed Neural Networks via Nonsmooth Analysis. IEEE Transactions on Neural Networks 15, 99–109 (2004)

    Article  Google Scholar 

  12. Wang, Z.S., Zhang, H.G., Wang, Z.L.: Global Synchronization of a Class of Chaotic Neural Networks. Acta Phys. Sinica 55, 2687–2693 (2006)

    MathSciNet  MATH  Google Scholar 

  13. Wohler, C., Anlauf, J.K.: An Adaptable Time-delay Neural-network Algorithm for Image Sequence Analysis. IEEE Transactions on Neural Networks 10, 1531–1536 (1999)

    Article  Google Scholar 

  14. Zhang, H.G., Guan, H.X., Wang, Z.S.: Adaptive Synchronization of Neural Networks with Different Attractors. Progress in Natural Science 17, 687–695 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  15. Zhang, H.G., Xie, Y.H., Liu, D.R.: Synchronization of a Class of Delayed Chaotic Neural Networks with Fully Unknown Parameters. Dynamics of Continuous, Discrete and Impulsive Systems B 13, 297–308 (2006)

    MathSciNet  MATH  Google Scholar 

  16. Zhang, H.G., Xie, Y.H., Wang, Z.L., Zheng, C.: Adaptive Synchronization between Two Different Chaotic Neural Networks with Time-delay. IEEE Transactions on Neural Networks 18, 1841–1845 (2007)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Xie, Y., Sun, Z., Wang, F. (2009). Synchronization between Two Different Chaotic Neural Networks with Fully Unknown Parameters. In: Yu, W., He, H., Zhang, N. (eds) Advances in Neural Networks – ISNN 2009. ISNN 2009. Lecture Notes in Computer Science, vol 5552. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01510-6_135

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-01510-6_135

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-01509-0

  • Online ISBN: 978-3-642-01510-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics