×

Synchronization of two different systems by using generalized active control. (English) Zbl 0997.93081

Summary: We have already generalized the techniques from active control theory, and applied them to synchronize two different systems. In this Letter, we demonstrate these techniques by period-system, Lorenz and Rössler systems. Moreover, the effect of external noise is also included in our discussion.

MSC:

93D15 Stabilization of systems by feedback
93C15 Control/observation systems governed by ordinary differential equations
37N35 Dynamical systems in control
Full Text: DOI

References:

[1] Pecora, L. M.; Carroll, T. L., Phys. Rev. Lett., 64, 821 (1990) · Zbl 0938.37019
[2] Pecora, L. M.; Carroll, T. L., Phys. Rev. A, 44, 2374 (1991)
[3] Kocarev, L.; Parlitz, U., Phys. Rev. Lett., 74, 5028 (1995)
[4] Pyragas, K., Phys. Lett. A, 181, 203 (1993)
[5] Ding, M.; Ott, E., Phys. Rev. E, 49, R945 (1994)
[6] Carroll, T. L.; Heagy, J. F.; Pecora, L. M., Phys. Rev. E, 54, 4676 (1996)
[7] Bai, E. W.; Lonngren, K. E., Chaos Solitons Fractals, 8, 51 (1997) · Zbl 1079.37515
[8] Bai, E. W.; Lonngren, K. E., Chaos Solitons Fractals, 10, 1571 (1999) · Zbl 0958.93513
[9] Bai, E. W.; Lonngren, K. E., Chaos Solitons Fractals, 11, 1041 (2000) · Zbl 0985.37106
[10] Agiza, H. N.; Yassen, M. T., Phys. Lett. A, 278, 191 (2001) · Zbl 0972.37019
[11] Ho, M. C.; Hung, Y. C.; Chou, C. H., Phys. Lett. A, 296, 43 (2002) · Zbl 1098.37529
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.