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Global Chaos Synchronization of Lü and Pan Systems by Adaptive Nonlinear Control

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Advances in Digital Image Processing and Information Technology (DPPR 2011)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 205))

Abstract

This paper investigates the adaptive synchronization of identical Pan systems (2010) and synchronization of non-identical Lü system (2002) and Pan system (2010). In adaptive synchronization of identical chaotic systems, the parameters of the master and slave systems are unknown and we devise feedback control laws using estimates of the system parameters. In adaptive synchronization of different chaotic systems, the parameters of the master system are known, but the parameters of the slave system are unknown and we devise feedback control laws using the estimates of the parameters of the slave system. Our adaptive synchronization results derived in this paper are established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the adaptive control method is effective and convenient to synchronize identical and different Lü and Pan systems. Numerical simulations are given to illustrate the effectiveness of the proposed adaptive synchronization schemes for the global chaos synchronization of chaotic systems addressed in this paper.

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Author information

Authors and Affiliations

  1. R & D Centre, Vel Tech Dr. RR & Dr. SR Technical University, Avadi-Alamathi Road, Avadi, Chennai, 600 062, India

    Sundarapandian Vaidyanathan

  2. School of Electronics and Electrical Engineering, Singhania University, Dist. Jhunjhunu, Rajasthan, 333 515, India

    Karthikeyan Rajagopal

Authors
  1. Sundarapandian Vaidyanathan
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  2. Karthikeyan Rajagopal
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Editor information

Editors and Affiliations

  1. Wireilla Net Solutions PTY Ltd, Melbourne, Victoria, Australia

    Dhinaharan Nagamalai

  2. Institut Telecom/Telecom SudParis, 9, rue Charles Fourier, 91011, Evry Cedex, France

    Eric Renault

  3. Manonmaniam Sundaranar University, Thirunelveli, Tamil Nadu, India

    Murugan Dhanuskodi

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© 2011 Springer-Verlag Berlin Heidelberg

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Vaidyanathan, S., Rajagopal, K. (2011). Global Chaos Synchronization of Lü and Pan Systems by Adaptive Nonlinear Control. In: Nagamalai, D., Renault, E., Dhanuskodi, M. (eds) Advances in Digital Image Processing and Information Technology. DPPR 2011. Communications in Computer and Information Science, vol 205. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24055-3_20

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  • DOI: https://doi.org/10.1007/978-3-642-24055-3_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24054-6

  • Online ISBN: 978-3-642-24055-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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