Robust fixed point transformations in chaos synchronization

Teréz A. Várkonyi, József K. Tar, Imre J. Rudas

Research output: Conference contribution

7 Citations (Scopus)

Abstract

Due to the technical difficulties related to the practical application of Lyapunov's 2nd or "direct" method in the adaptive control of nonlinear systems as an alternative approach the use of "Robust Fixed Point Transformations (RFPT)" were suggested on the basis of recent researches. Various application possibilities were revealed for the new controller and design for imprecisely and partially modeled fully and underactuated Classical Mechanical Systems, Electromechanical Systems by direct utilization and within the frames if the "Model Reference Controllers (MRAC)". In the present paper a novel application, the synchronization of coupled, chaotic systems is considered. It is shown that besides the "traditional" problem tackling normally based on the use of Lyapunov functions the RFPT based approach can be successful, too. This statement is illustrated via simulation results for the synchronization of the Fitz-Hugh-Nagumo (FHN) neuron model.

Original languageEnglish
Title of host publication11th IEEE International Symposium on Computational Intelligence and Informatics, CINTI 2010 - Proceedings
Pages219-224
Number of pages6
DOIs
Publication statusPublished - dec. 1 2010
Event11th IEEE International Symposium on Computational Intelligence and Informatics, CINTI 2010 - Budapest, Hungary
Duration: nov. 18 2010nov. 20 2010

Publication series

Name11th IEEE International Symposium on Computational Intelligence and Informatics, CINTI 2010 - Proceedings

Other

Other11th IEEE International Symposium on Computational Intelligence and Informatics, CINTI 2010
CountryHungary
CityBudapest
Period11/18/1011/20/10

ASJC Scopus subject areas

  • Artificial Intelligence
  • Information Systems

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  • Cite this

    Várkonyi, T. A., Tar, J. K., & Rudas, I. J. (2010). Robust fixed point transformations in chaos synchronization. In 11th IEEE International Symposium on Computational Intelligence and Informatics, CINTI 2010 - Proceedings (pp. 219-224). [5672246] (11th IEEE International Symposium on Computational Intelligence and Informatics, CINTI 2010 - Proceedings). https://doi.org/10.1109/CINTI.2010.5672246