A nonlinear synchronization scheme for polynomial systems

Jung Su Kim; Frank Allgöwer

doi:10.1109/ACC.2007.4282806

A nonlinear synchronization scheme for polynomial systems

Jung Su Kim, Frank Allgöwer

Dept. of Electrical and Information Engineering

University of Stuttgart

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

1 Scopus citations

Abstract

Synchronization phenomena among multiple subsystems have been studied in various publications using many kinds of models for a long time. This is because many subsystems are required to behave synchronously or cooperatively in many areas. For example, networks of (eletro-)mechanlcal systems, coupled neurons, and cooperating robots. This paper presents a feedback scheme for synchronization among multiple subsystems in polynomial form using a dissipation inequality and sum of squares tools. First, we show that the problem is the same as finding an asymptotically stabilizing control for polynomial systems. Then, it is discussed how to use the stabilizing control for synchronization. The proposed scheme can be applied to several kinds of models which are in polynomial form and commonly used for synchronization research in the literature, and overcomes several drawbacks in the previous results.

Original language	English
Title of host publication	Proceedings of the 2007 American Control Conference, ACC
Pages	2588-2593
Number of pages	6
DOIs	https://doi.org/10.1109/ACC.2007.4282806
State	Published - 2007
Event	2007 American Control Conference, ACC - New York, NY, United States Duration: 9 Jul 2007 → 13 Jul 2007

Publication series

Name	Proceedings of the American Control Conference
ISSN (Print)	0743-1619

Conference

Conference	2007 American Control Conference, ACC
Country/Territory	United States
City	New York, NY
Period	9/07/07 → 13/07/07

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10.1109/ACC.2007.4282806

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title = "A nonlinear synchronization scheme for polynomial systems",

abstract = "Synchronization phenomena among multiple subsystems have been studied in various publications using many kinds of models for a long time. This is because many subsystems are required to behave synchronously or cooperatively in many areas. For example, networks of (eletro-)mechanlcal systems, coupled neurons, and cooperating robots. This paper presents a feedback scheme for synchronization among multiple subsystems in polynomial form using a dissipation inequality and sum of squares tools. First, we show that the problem is the same as finding an asymptotically stabilizing control for polynomial systems. Then, it is discussed how to use the stabilizing control for synchronization. The proposed scheme can be applied to several kinds of models which are in polynomial form and commonly used for synchronization research in the literature, and overcomes several drawbacks in the previous results.",

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AU - Allgöwer, Frank

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AB - Synchronization phenomena among multiple subsystems have been studied in various publications using many kinds of models for a long time. This is because many subsystems are required to behave synchronously or cooperatively in many areas. For example, networks of (eletro-)mechanlcal systems, coupled neurons, and cooperating robots. This paper presents a feedback scheme for synchronization among multiple subsystems in polynomial form using a dissipation inequality and sum of squares tools. First, we show that the problem is the same as finding an asymptotically stabilizing control for polynomial systems. Then, it is discussed how to use the stabilizing control for synchronization. The proposed scheme can be applied to several kinds of models which are in polynomial form and commonly used for synchronization research in the literature, and overcomes several drawbacks in the previous results.

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DO - 10.1109/ACC.2007.4282806

M3 - Conference contribution

AN - SCOPUS:46449129748

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SN - 9781424409884

T3 - Proceedings of the American Control Conference

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BT - Proceedings of the 2007 American Control Conference, ACC

T2 - 2007 American Control Conference, ACC

Y2 - 9 July 2007 through 13 July 2007

ER -

A nonlinear synchronization scheme for polynomial systems

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