Synchronization of coupled nonlinear systems with time-delay

T. Yamamoto; T. Oguchi; H. Nijmeijer

Synchronization of coupled nonlinear systems with time-delay

T. Yamamoto, T. Oguchi, H. Nijmeijer

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

Abstract

In this paper we consider synchronization of two identical nonlinear systems bidirectionally coupled with timedelay. Firstly, we show using the small-gain theorem that trajectories of coupled 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.

Original language	English
Title of host publication	Proceedings of the European Control Conference (ECC'07), 2-5 July 2007, Kos, Greece
Place of Publication	Greece, Kos
Pages	3056-3061
Publication status	Published - 2007

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title = "Synchronization of coupled nonlinear systems with time-delay",

abstract = "In this paper we consider synchronization of two identical nonlinear systems bidirectionally coupled with timedelay. Firstly, we show using the small-gain theorem that trajectories of coupled 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. Yamamoto and T. Oguchi and H. Nijmeijer",

year = "2007",

language = "English",

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AU - Oguchi, T.

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N2 - In this paper we consider synchronization of two identical nonlinear systems bidirectionally coupled with timedelay. Firstly, we show using the small-gain theorem that trajectories of coupled 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 with timedelay. Firstly, we show using the small-gain theorem that trajectories of coupled 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

SN - 978-960-89028-5-5

SP - 3056

EP - 3061

BT - Proceedings of the European Control Conference (ECC'07), 2-5 July 2007, Kos, Greece

CY - Greece, Kos

ER -

Synchronization of coupled nonlinear systems with time-delay

Abstract

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