Controlled synchronization via nonlinear integral coupling

A.V. Pavlov; E. Steur; N. Wouw, van de

doi:10.1109/CDC.2009.5400275

Controlled synchronization via nonlinear integral coupling

A.V. Pavlov
, E. Steur
, N. Wouw, van de

Dynamics and Control

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

15 Citations (Scopus)

241 Downloads (Pure)

Abstract

This paper considers the problems of controlledsynchronization and regulation of oscillatory systems. For a specific class of nonlinear systems, namely for minimum phase systems with relative degree one, we propose a systematic design procedure for finding nonlinear couplings between the systems – both unidirectional and bidirectional – that guaranteeasymptotic synchronization of the systems’ states for arbitrary initial conditions. The corresponding coupling has the form of an integral and it can be considered as a generalized distance between the outputs of the coupled systems. It combines boththe low- and the high-gain coupling design in one nonlinear function. The results are illustrated with simulations of coupled Hindmarsh-Rose neuron oscillators.

Original language	English
Title of host publication	Proceedings of the 48th IEEE Conference on Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009.
Place of Publication	Piscataway, NJ
Publisher	Institute of Electrical and Electronics Engineers
Pages	5263-5268
ISBN (Print)	978-1-4244-3871-6
DOIs	https://doi.org/10.1109/CDC.2009.5400275
Publication status	Published - 2009

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10.1109/CDC.2009.5400275

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title = "Controlled synchronization via nonlinear integral coupling",

abstract = "This paper considers the problems of controlledsynchronization and regulation of oscillatory systems. For a specific class of nonlinear systems, namely for minimum phase systems with relative degree one, we propose a systematic design procedure for finding nonlinear couplings between the systems – both unidirectional and bidirectional – that guaranteeasymptotic synchronization of the systems{\textquoteright} states for arbitrary initial conditions. The corresponding coupling has the form of an integral and it can be considered as a generalized distance between the outputs of the coupled systems. It combines boththe low- and the high-gain coupling design in one nonlinear function. The results are illustrated with simulations of coupled Hindmarsh-Rose neuron oscillators.",

author = "A.V. Pavlov and E. Steur and \{Wouw, van de\}, N.",

year = "2009",

doi = "10.1109/CDC.2009.5400275",

language = "English",

isbn = "978-1-4244-3871-6",

pages = "5263--5268",

booktitle = "Proceedings of the 48th IEEE Conference on Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009.",

publisher = "Institute of Electrical and Electronics Engineers",

address = "United States",

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Pavlov, AV, Steur, E & Wouw, van de, N 2009, Controlled synchronization via nonlinear integral coupling. in Proceedings of the 48th IEEE Conference on Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009.. Institute of Electrical and Electronics Engineers, Piscataway, NJ, pp. 5263-5268. https://doi.org/10.1109/CDC.2009.5400275

Controlled synchronization via nonlinear integral coupling. / Pavlov, A.V.; Steur, E.; Wouw, van de, N.
Proceedings of the 48th IEEE Conference on Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009.. Piscataway, NJ: Institute of Electrical and Electronics Engineers, 2009. p. 5263-5268.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Controlled synchronization via nonlinear integral coupling

AU - Pavlov, A.V.

AU - Steur, E.

AU - Wouw, van de, N.

PY - 2009

Y1 - 2009

N2 - This paper considers the problems of controlledsynchronization and regulation of oscillatory systems. For a specific class of nonlinear systems, namely for minimum phase systems with relative degree one, we propose a systematic design procedure for finding nonlinear couplings between the systems – both unidirectional and bidirectional – that guaranteeasymptotic synchronization of the systems’ states for arbitrary initial conditions. The corresponding coupling has the form of an integral and it can be considered as a generalized distance between the outputs of the coupled systems. It combines boththe low- and the high-gain coupling design in one nonlinear function. The results are illustrated with simulations of coupled Hindmarsh-Rose neuron oscillators.

AB - This paper considers the problems of controlledsynchronization and regulation of oscillatory systems. For a specific class of nonlinear systems, namely for minimum phase systems with relative degree one, we propose a systematic design procedure for finding nonlinear couplings between the systems – both unidirectional and bidirectional – that guaranteeasymptotic synchronization of the systems’ states for arbitrary initial conditions. The corresponding coupling has the form of an integral and it can be considered as a generalized distance between the outputs of the coupled systems. It combines boththe low- and the high-gain coupling design in one nonlinear function. The results are illustrated with simulations of coupled Hindmarsh-Rose neuron oscillators.

U2 - 10.1109/CDC.2009.5400275

DO - 10.1109/CDC.2009.5400275

M3 - Conference contribution

SN - 978-1-4244-3871-6

SP - 5263

EP - 5268

BT - Proceedings of the 48th IEEE Conference on Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009.

PB - Institute of Electrical and Electronics Engineers

CY - Piscataway, NJ

ER -

Controlled synchronization via nonlinear integral coupling

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