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Adaptive lag synchronization based topology identification scheme of uncertain general complex dynamical networks

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Abstract

This paper presents an adaptive lag synchronization based method for simultaneous identification of topology and parameters of uncertain general complex dynamical networks with and without time delays. Based on Lyapunov stability theorem and LaSalle’s invariance principle, an adaptive controller is designed to realize lag synchronization between drive and response systems, meanwhile, identification criteria of network topology and system parameters are obtained. Numerical simulations illustrate the effectiveness of the proposed method.

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References

  1. S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, D.U. Hwang, Phys. Rep. 424, 175 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  2. S.H. Strogatz, Nature 410, 268 (2001)

    Article  ADS  Google Scholar 

  3. R. Albert, A.L. Barabási, Rev. Mod. Phys. 74, 47 (2002)

    Article  ADS  MATH  Google Scholar 

  4. G.V. Osipov, J. Kurths, C. Zhou, Synchronization in Oscillatory Networks (Springer, Berlin, 2007)

  5. M.I. Rabinovich, P. Varona, A.I. Selverston, H.D. Abarbanel, Rev. Mod. Phys. 78, 1213 (2006)

    Article  ADS  Google Scholar 

  6. A. Roxin, H. Riecke, S.A. Solla, Phys. Rev. Lett. 92, 198101-1 (2004)

    Google Scholar 

  7. X. Wang, Y. Lu, M. Jiang, Q. Ouyang, Phys. Rev. E 69, 056223-1 (2004)

    Google Scholar 

  8. K. Pyragas, Phys. Rev. E 58, 3067 (1998)

    Article  ADS  Google Scholar 

  9. Q. Zhang, J. Lu, J. Lü, C.K. Tse, IEEE Trans. Circuits Syst. II 55, 183 (2008)

    Article  Google Scholar 

  10. D. Yu, M. Righero, L. Kocarev, Phys. Rev. Lett. 97, 188701-1 (2006)

    Google Scholar 

  11. D. Yu, U. Parlitz, Europhys. Lett. 81, 48007 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  12. D. Yu, Automatica 46, 2035 (2010)

    Article  MATH  Google Scholar 

  13. D. Yu, U. Parlitz, Plos One 6, e24333 (2011)

    Article  ADS  Google Scholar 

  14. D. Huang, Phys. Rev. E 73, 066204-1 (2006)

    Google Scholar 

  15. H. Liu, J.A. Lu, J. Lü, D.J. Hill, Automatica 45, 1799 (2009)

    Article  MATH  Google Scholar 

  16. X. Wu, Physica A 387, 997 (2008)

    Article  ADS  Google Scholar 

  17. M. Timme, Phys. Rev. Lett. 98, 224101-1 (2007)

    Google Scholar 

  18. M.G. Rosenblum, A.S. Pikovsky, J. Kurths, Phys. Rev. Lett. 78, 4193 (1997)

    Article  ADS  Google Scholar 

  19. N.J. Corron, J.N. Blakely, S.D. Pethel, Chaos 15, 023110-1 (2005)

    Google Scholar 

  20. T. Heil, I. Fischer, W. Elsässer, J. Mulet, C.R. Mirasso, Phys. Rev. Lett. 86, 795 (2001)

    Article  ADS  Google Scholar 

  21. M. Ciszak, F. Marino, R. Toral, S. Balle, Phys. Rev. Lett. 93, 114102-1 (2004)

    Google Scholar 

  22. D. Ghosha, A.R. Chowdhury, Nonlinear Anal. Real World Appl. 11, 3059 (2010)

    Article  MathSciNet  Google Scholar 

  23. W. Guo, Nonlinear Anal. Real World Appl. 12, 2579 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  24. Y. Xu, W. Zhou, J. Fang, W. Sun, Phys. Lett. A 374, 3441 (2010)

    Article  ADS  MATH  Google Scholar 

  25. Q. Wang, Q. Lu, Z. Duan, Int. J. Non-Linear Mech. 45, 640 (2010)

    Article  ADS  Google Scholar 

  26. X. Yang, J. Cao, Y. Long, W. Rui, IEEE Trans. Neural. Netw. 21, 1656 (2010)

    Article  Google Scholar 

  27. X. Yang, Q. Zhu, C. Huang, Nonlinear Anal. Real World Appl. 12, 93 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  28. X.J. Wu, H.T. Lu, Chaos Solitons Fractals 44, 802 (2011)

    Article  ADS  Google Scholar 

  29. H.K. Khalil, Nonlinear Systems, 3rd edn. (New Jersey, Prentice Hall, 2002)

  30. J.L. Hindmarsh, R.M. Rose, Proc. Roy. Soc. Lond. B Biol. 221, 81 (1984)

    Article  ADS  Google Scholar 

  31. S. Gilbert, Introduction to Linear Algebra, 4th edn., (Wellesley-Cambridge Press, Wellesley MA, 2009)

  32. Y.Q. Che, J. Wang, K.M. Tsang, W.L. Chan, Nonlinear Anal. Real World Appl. 11, 1096 (2010)

    Article  MathSciNet  MATH  Google Scholar 

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Che, Y., Li, R.X., Han, C.X. et al. Adaptive lag synchronization based topology identification scheme of uncertain general complex dynamical networks. Eur. Phys. J. B 85, 265 (2012). https://doi.org/10.1140/epjb/e2012-20959-7

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  • DOI: https://doi.org/10.1140/epjb/e2012-20959-7

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