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Abstrakty
The aim of this paper is to discuss the dislocated feedback control, enhancing feedback control and speed feedback control for controlling chaos in a unified chaotic system.These control strategies are based on the Luapunov stability theory and Routh-Hurwitz theorem. The sufficient conditions for the control parameter for controlling chaos in the unified chaotic system by using the above three methods are derived. Finally, numerical simulation results are presented to demnonstrate the effectiveness of the control strategies.
Rocznik
Tom
Strony
597--608
Opis fizyczny
Bibliogr. 9 poz., wykr.
Twórcy
autor
autor
autor
- Department of Mathematics - Palaschabri N. High School (H.S) Korasia, Paschim Medinipur West Bengal, INDIA, swarup_p@yahoo.com
Bibliografia
- Fuh C.C. and Tung P.C. (1995): Controlling chaos using differential geometric method. - Physical Review Letters vol.75, pp.2952-2955.
- Huang W. (2000): Stabilizing unstable discrete systems by a non uniformly adaptive adjustment mechanism. -Phys. Rev. E61, R1012; vol.62, pp.3455-3460.
- Lakshmanan M. and Rajasekar S. (2003): Nonlinear Dynamics. - Springer-Verlag.
- Lu J., Chen G., Cheng D. and Celikovsky S. (2002): Bridge the gap between the Lorenz system and the Chen system. - Int. J. Bifurc. Chaos, Vol.12, No.012, pp.2917-2928.
- Ott E., Grebogi C. and York J.A. (1990): Controlling chaos.. - Physical Review Letters, vol.64, pp.1196-1199.
- Pecora and Carroll (1990): Synchronization in chaotic systems. - Physical Review Letters, vol.64, No.8, pp.821-824.
- Pyragas K. (1992): Continuous control of chaos by controlling feedback. - Phys. Lett. A, vol.170, pp.421-428.
- Sudeshna Sinha (2001): Using thresholding at varying intervals to obtain different temporal patterns. - Phys. Rev.E, vol.63.
- Tao C. and Yang C. (2008): Three control strategies for the Lorenz chaotic system. - Chaos, Solitions and Fractals, vol.35, pp.1009-1014.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ5-0017-0021