Chaos control using maximum Lyapunov number of universal learning network

K. Hirasawa, X. Wan, J. Murata, Takayuki Furuzuki

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)

Abstract

Chaotic behaviors are characterized mainly by Lyapunov numbers of a dynamic system. In this paper, a new method is proposed, which can control the maximum Lyapunov number of dynamic system that can be represented by Universal Learning Networks (ULNs). The maximum Lyapunov number of a dynamic system can be formulated by using higher order derivatives of ULNs and parameters of ULNs can be adjusted for the maximum Lyapunov number to approach to the target value by the combined gradient and random search method. Based on simulation results, a fully connected ULN with three nodes is possible to display chaotic behaviors.

Original languageEnglish
Title of host publicationProceedings of the IEEE International Conference on Systems, Man and Cybernetics
PublisherIEEE
Pages1702-1707
Number of pages6
Volume2
Publication statusPublished - 1998
Externally publishedYes
EventProceedings of the 1998 IEEE International Conference on Systems, Man, and Cybernetics. Part 2 (of 5) - San Diego, CA, USA
Duration: 1998 Oct 111998 Oct 14

Other

OtherProceedings of the 1998 IEEE International Conference on Systems, Man, and Cybernetics. Part 2 (of 5)
CitySan Diego, CA, USA
Period98/10/1198/10/14

Fingerprint

Chaos theory
Dynamical systems
Derivatives

ASJC Scopus subject areas

  • Hardware and Architecture
  • Control and Systems Engineering

Cite this

Hirasawa, K., Wan, X., Murata, J., & Furuzuki, T. (1998). Chaos control using maximum Lyapunov number of universal learning network. In Proceedings of the IEEE International Conference on Systems, Man and Cybernetics (Vol. 2, pp. 1702-1707). IEEE.

Chaos control using maximum Lyapunov number of universal learning network. / Hirasawa, K.; Wan, X.; Murata, J.; Furuzuki, Takayuki.

Proceedings of the IEEE International Conference on Systems, Man and Cybernetics. Vol. 2 IEEE, 1998. p. 1702-1707.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Hirasawa, K, Wan, X, Murata, J & Furuzuki, T 1998, Chaos control using maximum Lyapunov number of universal learning network. in Proceedings of the IEEE International Conference on Systems, Man and Cybernetics. vol. 2, IEEE, pp. 1702-1707, Proceedings of the 1998 IEEE International Conference on Systems, Man, and Cybernetics. Part 2 (of 5), San Diego, CA, USA, 98/10/11.
Hirasawa K, Wan X, Murata J, Furuzuki T. Chaos control using maximum Lyapunov number of universal learning network. In Proceedings of the IEEE International Conference on Systems, Man and Cybernetics. Vol. 2. IEEE. 1998. p. 1702-1707
Hirasawa, K. ; Wan, X. ; Murata, J. ; Furuzuki, Takayuki. / Chaos control using maximum Lyapunov number of universal learning network. Proceedings of the IEEE International Conference on Systems, Man and Cybernetics. Vol. 2 IEEE, 1998. pp. 1702-1707
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