×

Synchronizing strict-feedback chaotic system via a scalar driving signal. (English) Zbl 1080.93016

Summary: We propose a systematic design procedure to synchronize a class of chaotic system in a so-called strict-feedback form based on back-stepping procedure. This approach needs only a scalar driving signal to realize synchronization no matter how many dimensions the chaotic system contains. Furthermore, the numerical simulation with Chua’s chaotic circuit verifies the effectiveness of the method.

MSC:

93D15 Stabilization of systems by feedback
34C23 Bifurcation theory for ordinary differential equations
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] DOI: 10.1103/PhysRevLett.64.821 · Zbl 0938.37019 · doi:10.1103/PhysRevLett.64.821
[2] DOI: 10.1103/PhysRevLett.64.1196 · Zbl 0964.37501 · doi:10.1103/PhysRevLett.64.1196
[3] DOI: 10.1063/1.166276 · doi:10.1063/1.166276
[4] DOI: 10.1063/1.166016 · doi:10.1063/1.166016
[5] DOI: 10.1016/S0375-9601(02)00522-4 · doi:10.1016/S0375-9601(02)00522-4
[6] DOI: 10.1016/S0375-9601(02)00466-8 · Zbl 0995.37021 · doi:10.1016/S0375-9601(02)00466-8
[7] DOI: 10.1088/1009-1963/11/3/306 · doi:10.1088/1009-1963/11/3/306
[8] DOI: 10.1016/S0960-0779(02)00006-1 · Zbl 1005.93020 · doi:10.1016/S0960-0779(02)00006-1
[9] DOI: 10.1063/1.166212 · Zbl 0938.37014 · doi:10.1063/1.166212
[10] DOI: 10.1142/S0218127499001024 · Zbl 0962.37013 · doi:10.1142/S0218127499001024
[11] DOI: 10.1142/S0218126693000071 · doi:10.1142/S0218126693000071
[12] DOI: 10.1111/j.1749-6632.1979.tb29482.x · doi:10.1111/j.1749-6632.1979.tb29482.x
[13] DOI: 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2 · Zbl 1417.37129 · doi:10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2
[14] DOI: 10.1016/S0960-0779(00)00089-8 · Zbl 1015.37052 · doi:10.1016/S0960-0779(00)00089-8
[15] DOI: 10.1142/S0218127401002560 · Zbl 1090.93536 · doi:10.1142/S0218127401002560
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.