Institute of Electrical and Electronics Engineers (IEEE)

IEEE Transactions on Circuits and Systems I: Regular Papers

, volume 56 , issue 2 , pages 430-439

Synchronization of Passifiable Lurie Systems Via Limited-Capacity Communication Channel

A. L. Fradkov ^{1, 2}

B Andrievsky ^{2, 3}

R. J. Evans ⁴

Hide authors affiliations Show authors affiliations: 4 affiliations

Department of Theoretical Cybernetics, Faculty of Mathematics and Mechanics, Saint Petersburg State University, Saint Petersburg, Russia |

Institute of Problems of Mechanical Engineering, Russian Academy of Science, Saint Petersburg, Russia |

Baltic State Technical University, Saint Petersburg, Russia |

⁴

National ICT Australia and the Department of Electrical and Electronic Engineering, University of Melbourne, Melbourne, VIC, Australia |

Publication type: Journal Article

Publication date: 2009-02-13

Institute of Electrical and Electronics Engineers (IEEE)

IEEE Transactions on Circuits and Systems I: Regular Papers

scimago Q1

wos Q1

SJR: 1.734

CiteScore: 10.6

Impact factor: 5.2

ISSN: 15498328, 15580806

DOI: 10.1109/tcsi.2008.2001365

Copy DOI

Electrical and Electronic Engineering

Abstract

Output-feedback controlled synchronization problems for a class of nonlinear unstable systems under information constraints imposed by limited capacity of the communication channel are analyzed. A binary time-varying coder-decoder scheme is described, and a theoretical analysis for multidimensional master-slave systems represented in Lurie form (linear part plus nonlinearity depending only on measurable outputs) is provided. An output-feedback control law is proposed based on the passification theorem. It is shown that the synchronization error exponentially tends to zero for sufficiently high transmission rate (channel capacity). The results obtained for the synchronization problem can be extended to tracking problems in a straightforward manner if the reference signal is described by an external (exogenous) state space model. The results are illustrated by the controlled synchronization of two chaotic Chua systems via a communication channel with limited capacity.

Found

17 citations

Andrievsky Boris

197 publications, 1 967 citations, 41 reviews

h-index: 24

Institute of Problems of Mechanical Engineering of the Russian Academy of Sciences

Saint Petersburg State University

Top-30

Journals

	1 2 3 4 5
IEEE Transactions on Circuits and Systems I: Regular Papers	IEEE Transactions on Circuits and Systems I: Regular Papers, 5, 11.63% IEEE Transactions on Circuits and Systems I: Regular Papers 5 publications, 11.63%
Circuits, Systems, and Signal Processing	Circuits, Systems, and Signal Processing, 2, 4.65% Circuits, Systems, and Signal Processing 2 publications, 4.65%
IFAC-PapersOnLine	IFAC-PapersOnLine, 2, 4.65% IFAC-PapersOnLine 2 publications, 4.65%
Communications in Nonlinear Science and Numerical Simulation	Communications in Nonlinear Science and Numerical Simulation, 2, 4.65% Communications in Nonlinear Science and Numerical Simulation 2 publications, 4.65%
IFAC Proceedings Volumes	IFAC Proceedings Volumes, 2, 4.65% IFAC Proceedings Volumes 2 publications, 4.65%
Automation and Remote Control	Automation and Remote Control, 2, 4.65% Automation and Remote Control 2 publications, 4.65%
Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME	Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME, 1, 2.33% Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME 1 publication, 2.33%
SIAM Journal on Control and Optimization	SIAM Journal on Control and Optimization, 1, 2.33% SIAM Journal on Control and Optimization 1 publication, 2.33%
Electronics (Switzerland)	Electronics (Switzerland), 1, 2.33% Electronics (Switzerland) 1 publication, 2.33%
International Journal of Control, Automation and Systems	International Journal of Control, Automation and Systems, 1, 2.33% International Journal of Control, Automation and Systems 1 publication, 2.33%
European Physical Journal: Special Topics	European Physical Journal: Special Topics, 1, 2.33% European Physical Journal: Special Topics 1 publication, 2.33%
Nonlinear Dynamics	Nonlinear Dynamics, 1, 2.33% Nonlinear Dynamics 1 publication, 2.33%
Automatica	Automatica, 1, 2.33% Automatica 1 publication, 2.33%
Journal of the Franklin Institute	Journal of the Franklin Institute, 1, 2.33% Journal of the Franklin Institute 1 publication, 2.33%
Mechatronics	Mechatronics, 1, 2.33% Mechatronics 1 publication, 2.33%
Chaos, Solitons and Fractals	Chaos, Solitons and Fractals, 1, 2.33% Chaos, Solitons and Fractals 1 publication, 2.33%
International Journal of Robust and Nonlinear Control	International Journal of Robust and Nonlinear Control, 1, 2.33% International Journal of Robust and Nonlinear Control 1 publication, 2.33%
Gyroscopy and Navigation	Gyroscopy and Navigation, 1, 2.33% Gyroscopy and Navigation 1 publication, 2.33%
IEEE Transactions on Control Systems Technology	IEEE Transactions on Control Systems Technology, 1, 2.33% IEEE Transactions on Control Systems Technology 1 publication, 2.33%
IEEE Control Systems Letters	IEEE Control Systems Letters, 1, 2.33% IEEE Control Systems Letters 1 publication, 2.33%
IEEE Transactions on Cybernetics	IEEE Transactions on Cybernetics, 1, 2.33% IEEE Transactions on Cybernetics 1 publication, 2.33%
IEEE Access	IEEE Access, 1, 2.33% IEEE Access 1 publication, 2.33%
IEEE Transactions on Systems, Man, and Cybernetics: Systems	IEEE Transactions on Systems, Man, and Cybernetics: Systems, 1, 2.33% IEEE Transactions on Systems, Man, and Cybernetics: Systems 1 publication, 2.33%
Mekhatronika, Avtomatizatsiya, Upravlenie	Mekhatronika, Avtomatizatsiya, Upravlenie, 1, 2.33% Mekhatronika, Avtomatizatsiya, Upravlenie 1 publication, 2.33%
Nonlinear Analysis: Hybrid Systems	Nonlinear Analysis: Hybrid Systems, 1, 2.33% Nonlinear Analysis: Hybrid Systems 1 publication, 2.33%
IEEE Transactions on Automatic Control	IEEE Transactions on Automatic Control, 1, 2.33% IEEE Transactions on Automatic Control 1 publication, 2.33%
	1 2 3 4 5

Publishers

	2 4 6 8 10 12 14 16 18 20
Institute of Electrical and Electronics Engineers (IEEE)	Institute of Electrical and Electronics Engineers (IEEE), 19, 44.19% Institute of Electrical and Electronics Engineers (IEEE) 19 publications, 44.19%
Elsevier	Elsevier, 11, 25.58% Elsevier 11 publications, 25.58%
Springer Nature	Springer Nature, 5, 11.63% Springer Nature 5 publications, 11.63%
Pleiades Publishing	Pleiades Publishing, 3, 6.98% Pleiades Publishing 3 publications, 6.98%
ASME International	ASME International, 1, 2.33% ASME International 1 publication, 2.33%
Society for Industrial and Applied Mathematics (SIAM)	Society for Industrial and Applied Mathematics (SIAM), 1, 2.33% Society for Industrial and Applied Mathematics (SIAM) 1 publication, 2.33%
MDPI	MDPI, 1, 2.33% MDPI 1 publication, 2.33%
Wiley	Wiley, 1, 2.33% Wiley 1 publication, 2.33%
New Technologies Publishing House	New Technologies Publishing House, 1, 2.33% New Technologies Publishing House 1 publication, 2.33%
	2 4 6 8 10 12 14 16 18 20

We do not take into account publications without a DOI.
Statistics recalculated weekly.

Are you a researcher?

Create a profile to get free access to personal recommendations for colleagues and new articles.

Metrics

Cite this

GOST |

Cite this

GOST Copy

Fradkov A. L. et al. Synchronization of Passifiable Lurie Systems Via Limited-Capacity Communication Channel // IEEE Transactions on Circuits and Systems I: Regular Papers. 2009. Vol. 56. No. 2. pp. 430-439.

GOST all authors (up to 50) Copy

Fradkov A. L., Andrievsky B., Evans R. J. Synchronization of Passifiable Lurie Systems Via Limited-Capacity Communication Channel // IEEE Transactions on Circuits and Systems I: Regular Papers. 2009. Vol. 56. No. 2. pp. 430-439.

RIS |

Cite this

RIS Copy

TY - JOUR

DO - 10.1109/tcsi.2008.2001365

UR - https://doi.org/10.1109/tcsi.2008.2001365

TI - Synchronization of Passifiable Lurie Systems Via Limited-Capacity Communication Channel

T2 - IEEE Transactions on Circuits and Systems I: Regular Papers

AU - Fradkov, A. L.

AU - Andrievsky, B

AU - Evans, R. J.

PY - 2009

DA - 2009/02/13

PB - Institute of Electrical and Electronics Engineers (IEEE)

SP - 430-439

IS - 2

VL - 56

SN - 1549-8328

SN - 1558-0806

ER -

BibTex |

Cite this

BibTex (up to 50 authors) Copy

@article{2009_Fradkov,

author = {A. L. Fradkov and B Andrievsky and R. J. Evans},

title = {Synchronization of Passifiable Lurie Systems Via Limited-Capacity Communication Channel},

journal = {IEEE Transactions on Circuits and Systems I: Regular Papers},

year = {2009},

volume = {56},

publisher = {Institute of Electrical and Electronics Engineers (IEEE)},

month = {feb},

url = {https://doi.org/10.1109/tcsi.2008.2001365},

number = {2},

pages = {430--439},

doi = {10.1109/tcsi.2008.2001365}

}

MLA

Cite this

MLA Copy

Fradkov, A. L., et al. “Synchronization of Passifiable Lurie Systems Via Limited-Capacity Communication Channel.” IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 56, no. 2, Feb. 2009, pp. 430-439. https://doi.org/10.1109/tcsi.2008.2001365.

Publisher

Institute of Electrical and Electronics Engineers (IEEE)

Journal

IEEE Transactions on Circuits and Systems I: Regular Papers

scimago Q1

wos Q1

SJR

1.734

CiteScore

10.6

Impact factor

5.2

ISSN

15498328 (Print)

15580806 (Electronic)

Profiles

Boris Andrievsky