×

Synchronization of chaotic systems via nonlinear control. (English) Zbl 1065.93028

Summary: The letter introduces nonlinear control method and based on Lyapunov stability theory to design controller to synchronize two identical chaotic systems or two different chaotic systems. The technique is applied to two identical Lü systems and two different chaotic systems. Numerical simulations are shown for demonstration.

MSC:

93D15 Stabilization of systems by feedback
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
PDF BibTeX XML Cite
Full Text: DOI

References:

[1] Pecora, L.M.; Carroll, T.L., Phys. rev. lett., 64, 8, 821, (1990)
[2] Pecora, L.M.; Carroll, T.L., Phys. rev. A, 44, 4, 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] Liao, T.L.; Huang, N.S., Phys. lett. A, 234, 262, (1997)
[8] Vassiliadis, D., Physica D, 71, 319, (1994)
[9] Solak, E.; Morgul, O.; Ersoy, U., Phys. lett. A, 279, 47, (2001) · Zbl 0972.37020
[10] Ramirez, J.A.; Puebla, H.; Cervantes, H., Phys. lett. A, 289, 193, (2001)
[11] Bai, E.-W.; Lonngren, K.E., Chaos solitons fractals, 10, 9, 1571, (1999)
[12] Bai, E.-W.; Lonngren, K.E., Chaos solitons fractals, 11, 7, 1041, (2000)
[13] Agiza, H.N.; Yassen, M.T., Phys. lett. A, 278, 191, (2001)
[14] Chen, S.H.; Lü, J.H., Phys. lett. A, 299, 353, (2002)
[15] Li, Z.; Han, C.Z.; Shi, S.J., Phys. lett. A, 301, 224, (2002)
[16] Ho, M.C.; Hung, Y.C.; Chou, C.H., Phys. lett. A, 296, 43, (2002)
[17] Ho, M.C.; Hung, Y.C., Phys. lett. A, 301, 424, (2002)
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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.