A new criterion for synchronization in deterministic underdamped ratchets

Pingli Lu; Ying Yang; Lin Huang

doi:10.3182/20080706-5-KR-1001.2066

A new criterion for synchronization in deterministic underdamped ratchets

Pingli Lu, Ying Yang, Lin Huang

School of Automation

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

Abstract

This paper deals with the synchronization for deterministic underdamped ratchets. Using the technique derived from pendulum-like nonlinear analytic theory and Kalman-Yakubovich-Popov(KYP) lemma, simple linear matrix inequality (LMI) formulations are established to guarantee the stable synchronization between two periodically driven identical deterministic, underdamped ratchets. With this new efficient criterion, the direction of transporting particles can be controlled and the distance among particles also can be fixed on some values in order to separate them. Finally, simulation results verified the applicability and validity of the proposed approach.

Original language	English
Title of host publication	Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC
Edition	1 PART 1
DOIs	https://doi.org/10.3182/20080706-5-KR-1001.2066
Publication status	Published - 2008
Event	17th World Congress, International Federation of Automatic Control, IFAC - Seoul, Korea, Republic of Duration: 6 Jul 2008 → 11 Jul 2008

Publication series

Name	IFAC Proceedings Volumes (IFAC-PapersOnline)
Number	1 PART 1
Volume	17
ISSN (Print)	1474-6670

Conference

Conference	17th World Congress, International Federation of Automatic Control, IFAC
Country/Territory	Korea, Republic of
City	Seoul
Period	6/07/08 → 11/07/08

Keywords

Asymptotic stabilization
LMIs
Nonlinear system control

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10.3182/20080706-5-KR-1001.2066

Cite this

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title = "A new criterion for synchronization in deterministic underdamped ratchets",

abstract = "This paper deals with the synchronization for deterministic underdamped ratchets. Using the technique derived from pendulum-like nonlinear analytic theory and Kalman-Yakubovich-Popov(KYP) lemma, simple linear matrix inequality (LMI) formulations are established to guarantee the stable synchronization between two periodically driven identical deterministic, underdamped ratchets. With this new efficient criterion, the direction of transporting particles can be controlled and the distance among particles also can be fixed on some values in order to separate them. Finally, simulation results verified the applicability and validity of the proposed approach.",

keywords = "Asymptotic stabilization, LMIs, Nonlinear system control",

author = "Pingli Lu and Ying Yang and Lin Huang",

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language = "English",

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Lu, P, Yang, Y & Huang, L 2008, A new criterion for synchronization in deterministic underdamped ratchets. in Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC. 1 PART 1 edn, IFAC Proceedings Volumes (IFAC-PapersOnline), no. 1 PART 1, vol. 17, 17th World Congress, International Federation of Automatic Control, IFAC, Seoul, Korea, Republic of, 6/07/08. https://doi.org/10.3182/20080706-5-KR-1001.2066

A new criterion for synchronization in deterministic underdamped ratchets. / Lu, Pingli; Yang, Ying; Huang, Lin.
Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC. 1 PART 1. ed. 2008. (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 17, No. 1 PART 1).

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

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N2 - This paper deals with the synchronization for deterministic underdamped ratchets. Using the technique derived from pendulum-like nonlinear analytic theory and Kalman-Yakubovich-Popov(KYP) lemma, simple linear matrix inequality (LMI) formulations are established to guarantee the stable synchronization between two periodically driven identical deterministic, underdamped ratchets. With this new efficient criterion, the direction of transporting particles can be controlled and the distance among particles also can be fixed on some values in order to separate them. Finally, simulation results verified the applicability and validity of the proposed approach.

AB - This paper deals with the synchronization for deterministic underdamped ratchets. Using the technique derived from pendulum-like nonlinear analytic theory and Kalman-Yakubovich-Popov(KYP) lemma, simple linear matrix inequality (LMI) formulations are established to guarantee the stable synchronization between two periodically driven identical deterministic, underdamped ratchets. With this new efficient criterion, the direction of transporting particles can be controlled and the distance among particles also can be fixed on some values in order to separate them. Finally, simulation results verified the applicability and validity of the proposed approach.

KW - Asymptotic stabilization

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SN - 9783902661005

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BT - Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC

T2 - 17th World Congress, International Federation of Automatic Control, IFAC

Y2 - 6 July 2008 through 11 July 2008

ER -

A new criterion for synchronization in deterministic underdamped ratchets

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Keywords

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