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Synchronization of chaotic systems based on SDRE method

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  • Jayaram, A.
  • Tadi, M.

Abstract

This paper is concerned with the synchoronization of nonlinear systems using feedback control laws based on state-dependent Riccati equation (SDRE). The method requires only partial observation of the states. It requires pointwise observability and controllability along the trajectory which can be checked. The method is general and can be applied to various nonlinear systems provided that the observability and controllability conditions are satisfied.

Suggested Citation

  • Jayaram, A. & Tadi, M., 2006. "Synchronization of chaotic systems based on SDRE method," Chaos, Solitons & Fractals, Elsevier, vol. 28(3), pages 707-715.
    • Handle: RePEc:eee:chsofr:v:28:y:2006:i:3:p:707-715
    DOI: 10.1016/j.chaos.2005.04.117
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    Cited by:

    1. Lee, Keum W. & Singh, Sahjendra N., 2007. "Robust control of chaos in Chua’s circuit based on internal model principle," Chaos, Solitons & Fractals, Elsevier, vol. 31(5), pages 1095-1107.
    2. Mahmoud, Gamal M. & Mahmoud, Emad E. & Farghaly, Ahmed A. & Aly, Shaban A., 2009. "Chaotic synchronization of two complex nonlinear oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2858-2864.
    3. Lazaro M Sanchez-Rodriguez & Yasser Iturria-Medina & Erica A Baines & Sabela C Mallo & Mehdy Dousty & Roberto C Sotero & on behalf of The Alzheimer’s Disease Neuroimaging Initiative, 2018. "Design of optimal nonlinear network controllers for Alzheimer's disease," PLOS Computational Biology, Public Library of Science, vol. 14(5), pages 1-24, May.
    4. Sharma, B.B. & Kar, I.N., 2009. "Parametric convergence and control of chaotic system using adaptive feedback linearization," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1475-1483.
    5. Mahmoud, Gamal M. & Aly, Shaban A. & Farghaly, Ahmed A., 2007. "On chaos synchronization of a complex two coupled dynamos system," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 178-187.
    6. Sharma, B.B. & Kar, I.N., 2011. "Stabilization and tracking controller for a class of nonlinear discrete-time systems," Chaos, Solitons & Fractals, Elsevier, vol. 44(10), pages 902-913.

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