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Chaotic observer-based synchronization under information constraints. / Fradkov, Alexander L.; Andrievsky, Boris; Evans, Robin J.

в: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Том 73, № 6, 066209, 2006.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Fradkov, AL, Andrievsky, B & Evans, RJ 2006, 'Chaotic observer-based synchronization under information constraints', Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Том. 73, № 6, 066209. https://doi.org/10.1103/PhysRevE.73.066209

APA

Fradkov, A. L., Andrievsky, B., & Evans, R. J. (2006). Chaotic observer-based synchronization under information constraints. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 73(6), [066209]. https://doi.org/10.1103/PhysRevE.73.066209

Vancouver

Fradkov AL, Andrievsky B, Evans RJ. Chaotic observer-based synchronization under information constraints. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 2006;73(6). 066209. https://doi.org/10.1103/PhysRevE.73.066209

Author

Fradkov, Alexander L. ; Andrievsky, Boris ; Evans, Robin J. / Chaotic observer-based synchronization under information constraints. в: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 2006 ; Том 73, № 6.

BibTeX

@article{22cf284598464781ad06e662d180fe6f,
title = "Chaotic observer-based synchronization under information constraints",
abstract = "Limitations of observer-based synchronization systems under information constraints (limited information capacity of the coupling channel) are evaluated. We give theoretical analysis for multidimensional drive-response systems represented in the Lurie form (linear part plus nonlinearity depending only on measurable outputs). It is shown that the upper bound of the limit synchronization error (LSE) is proportional to the upper bound of the transmission error. As a consequence, the upper and lower bounds of LSE are proportional to the maximum rate of the coupling signal and inversely proportional to the information transmission rate (channel capacity). Optimality of the binary coding for coders with one-step memory is established. The results are applied to synchronization of two chaotic Chua systems coupled via a channel with limited capacity.",
author = "Fradkov, {Alexander L.} and Boris Andrievsky and Evans, {Robin J.}",
year = "2006",
doi = "10.1103/PhysRevE.73.066209",
language = "English",
volume = "73",
journal = "Physical Review E - Statistical, Nonlinear, and Soft Matter Physics",
issn = "1539-3755",
publisher = "American Physical Society",
number = "6",

}

RIS

TY - JOUR

T1 - Chaotic observer-based synchronization under information constraints

AU - Fradkov, Alexander L.

AU - Andrievsky, Boris

AU - Evans, Robin J.

PY - 2006

Y1 - 2006

N2 - Limitations of observer-based synchronization systems under information constraints (limited information capacity of the coupling channel) are evaluated. We give theoretical analysis for multidimensional drive-response systems represented in the Lurie form (linear part plus nonlinearity depending only on measurable outputs). It is shown that the upper bound of the limit synchronization error (LSE) is proportional to the upper bound of the transmission error. As a consequence, the upper and lower bounds of LSE are proportional to the maximum rate of the coupling signal and inversely proportional to the information transmission rate (channel capacity). Optimality of the binary coding for coders with one-step memory is established. The results are applied to synchronization of two chaotic Chua systems coupled via a channel with limited capacity.

AB - Limitations of observer-based synchronization systems under information constraints (limited information capacity of the coupling channel) are evaluated. We give theoretical analysis for multidimensional drive-response systems represented in the Lurie form (linear part plus nonlinearity depending only on measurable outputs). It is shown that the upper bound of the limit synchronization error (LSE) is proportional to the upper bound of the transmission error. As a consequence, the upper and lower bounds of LSE are proportional to the maximum rate of the coupling signal and inversely proportional to the information transmission rate (channel capacity). Optimality of the binary coding for coders with one-step memory is established. The results are applied to synchronization of two chaotic Chua systems coupled via a channel with limited capacity.

UR - http://www.scopus.com/inward/record.url?scp=33744959799&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.73.066209

DO - 10.1103/PhysRevE.73.066209

M3 - Article

AN - SCOPUS:33744959799

VL - 73

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

SN - 1539-3755

IS - 6

M1 - 066209

ER -

ID: 87384084