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Adaptive Synchronization of Delayed Neural Networks Based on Parameters Identification

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Advances in Neural Networks – ISNN 2005 (ISNN 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3496))

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Abstract

By combining the adaptive control and linear feedback with the updated laws, an approach of adaptive synchronization and parameters identification of recurrently delayed neural networks with all the parameters unknown is proposed based on the invariance principle of functional differential equations. This approach supplies a systematic and analytical procedure for adaptive synchronization and parameters identification of such uncertain networks, and it is also simple to implement in practice. Theoretical proof and numerical simulation demonstrate the effectiveness and feasibility of the proposed technique.

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References

  1. Pecora, L.M., Carrol, T.L.: Synchronization in Chaotic Systems. Phys. Rev. Lett. 64, 821–823 (1990)

    Article  MathSciNet  Google Scholar 

  2. Pecora, L.M., Carrol, T.L., Johnson, G.A.: Fundamentals of Synchronization in Chaotic Systems, Concepts, and Applications. Chaos 7, 520–543 (1998)

    Article  Google Scholar 

  3. Chen, G., Dong, X.: From Chaos to Order: Methodologies, Perspectives, and Applications. World Scientific, Singapore (1998)

    Book  MATH  Google Scholar 

  4. Chen, S., Hu, J., Wang, C., Lü, J.: Adaptive Synchronization of Uuncertain Rössler Hyperchaotic System Based on Parameter Identification. Phys. Lett. A. 321, 50–55 (2004)

    Article  MATH  Google Scholar 

  5. Huang, D.: Synchronization Based Estimation of All Parameters of Chaotic Systems From Time Series. Phys. Rev. E 69, 67201 (2004)

    Article  Google Scholar 

  6. Cao, J., Wang, J.: Global Asymptotic Stability of A General Class of Recurrent Neural Networks with Time-varying Delays. IEEE Trans. CAS-I 50, 34–44 (2003)

    Article  MathSciNet  Google Scholar 

  7. Zhou, J., Liu, Z., Chen, G.: Dynamics of Periodic Delayed Neural Networks. Neural Networks 17, 87–101 (2004)

    Article  MATH  Google Scholar 

  8. Zhou, J., Chen, T., Xiang, L.: Robust Synchronization of Coupled Delayed Recurrent Neural Networks. In: Yin, F.-L., Wang, J., Guo, C. (eds.) ISNN 2004. LNCS, vol. 3173, pp. 144–149. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  9. Chen, G., Zhou, J., Liu, Z.: Global Synchronization of Coupled Delayed Neural Networks and Applications to Chaotic CNN Model. Int. J. Bifur. Chaos 14, 2229–2240 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  10. Kuang, Y.: Delay Differential Equations with Application in Population Dynamics. Academic Press, INC, New York (1993)

    Google Scholar 

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© 2005 Springer-Verlag Berlin Heidelberg

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Zhou, J., Chen, T., Xiang, L. (2005). Adaptive Synchronization of Delayed Neural Networks Based on Parameters Identification. In: Wang, J., Liao, X., Yi, Z. (eds) Advances in Neural Networks – ISNN 2005. ISNN 2005. Lecture Notes in Computer Science, vol 3496. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11427391_48

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  • DOI: https://doi.org/10.1007/11427391_48

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-25912-1

  • Online ISBN: 978-3-540-32065-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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