Synchronization of nonlinear oscillators by bidirectional diffusive coupling with time delay

T. Oguchi; H. Nijmeijer

Synchronization of nonlinear oscillators by bidirectional diffusive coupling with time delay

T. Oguchi
, H. Nijmeijer

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

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In this paper we consider synchronization of two identical nonlinear systems bidirectionally coupled by a diffusive coupling with time-delay. Firstly, we show using the small-gain theorem that trajectories of any strictly semi-passive systems converge to a bounded region. Next using this result, we derive a condition for synchronization of the systems by the Lyapunov-Krasovskii theorem. Finally we illustrate the effectiveness of the derived conditions with a numerical example.

Originele taal-2	Engels
Titel	Proceedings of the 49th Japan Joint Automatic Control Conference, 25-26 November 2006, Kobe, Japan
Plaats van productie	Japan, Kobe
Pagina's	4-
Status	Gepubliceerd - 2006

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title = "Synchronization of nonlinear oscillators by bidirectional diffusive coupling with time delay",

abstract = "In this paper we consider synchronization of two identical nonlinear systems bidirectionally coupled by a diffusive coupling with time-delay. Firstly, we show using the small-gain theorem that trajectories of any strictly semi-passive systems converge to a bounded region. Next using this result, we derive a condition for synchronization of the systems by the Lyapunov-Krasovskii theorem. Finally we illustrate the effectiveness of the derived conditions with a numerical example.",

author = "T. Oguchi and H. Nijmeijer",

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T1 - Synchronization of nonlinear oscillators by bidirectional diffusive coupling with time delay

AU - Oguchi, T.

AU - Nijmeijer, H.

PY - 2006

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N2 - In this paper we consider synchronization of two identical nonlinear systems bidirectionally coupled by a diffusive coupling with time-delay. Firstly, we show using the small-gain theorem that trajectories of any strictly semi-passive systems converge to a bounded region. Next using this result, we derive a condition for synchronization of the systems by the Lyapunov-Krasovskii theorem. Finally we illustrate the effectiveness of the derived conditions with a numerical example.

AB - In this paper we consider synchronization of two identical nonlinear systems bidirectionally coupled by a diffusive coupling with time-delay. Firstly, we show using the small-gain theorem that trajectories of any strictly semi-passive systems converge to a bounded region. Next using this result, we derive a condition for synchronization of the systems by the Lyapunov-Krasovskii theorem. Finally we illustrate the effectiveness of the derived conditions with a numerical example.

M3 - Conference contribution

SP - 4-

BT - Proceedings of the 49th Japan Joint Automatic Control Conference, 25-26 November 2006, Kobe, Japan

CY - Japan, Kobe

ER -

Synchronization of nonlinear oscillators by bidirectional diffusive coupling with time delay

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