Finite time synchronization of networked Kuramoto-like oscillators

Xiaoxiang Zhang; Zhiyong Sun; Changbin Yu

doi:10.1109/AUCC.2016.7868007

Finite time synchronization of networked Kuramoto-like oscillators

Xiaoxiang Zhang, Zhiyong Sun, Changbin Yu

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

13 Citations (Scopus)

Abstract

In this paper we consider the finite time synchronization problem for networked Kuramoto oscillators. We propose two types of synchronization protocols, both of which involve continuous phase couplings. Based on the finite time Lyapunov theory, we prove that if initial phases of all oscillators are located in a semi-circle, then their phases will reach synchronization within a finite time. The upper bounds of the finite settling time for both synchronization protocols are also derived. We then extend the results to the case of Kuramoto oscillators with identical natural frequency. Several simulations are presented to demonstrate the performance of the proposed finite time phase-coupling controllers.

Original language	English
Title of host publication	2016 Australian Control Conference, AuCC 2016
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	81-86
Number of pages	6
ISBN (Electronic)	9781922107909
DOIs	https://doi.org/10.1109/AUCC.2016.7868007
Publication status	Published - 1 Mar 2017
Event	2016 Australian Control Conference, AuCC 2016 - Newcastle, Australia Duration: 3 Nov 2016 → 4 Nov 2016

Publication series

Name	2016 Australian Control Conference, AuCC 2016

Conference

Conference	2016 Australian Control Conference, AuCC 2016
Country/Territory	Australia
City	Newcastle
Period	3/11/16 → 4/11/16

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10.1109/AUCC.2016.7868007

Cite this

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title = "Finite time synchronization of networked Kuramoto-like oscillators",

abstract = "In this paper we consider the finite time synchronization problem for networked Kuramoto oscillators. We propose two types of synchronization protocols, both of which involve continuous phase couplings. Based on the finite time Lyapunov theory, we prove that if initial phases of all oscillators are located in a semi-circle, then their phases will reach synchronization within a finite time. The upper bounds of the finite settling time for both synchronization protocols are also derived. We then extend the results to the case of Kuramoto oscillators with identical natural frequency. Several simulations are presented to demonstrate the performance of the proposed finite time phase-coupling controllers.",

author = "Xiaoxiang Zhang and Zhiyong Sun and Changbin Yu",

note = "Publisher Copyright: {\textcopyright} 2016 Engineers Australia.; 2016 Australian Control Conference, AuCC 2016 ; Conference date: 03-11-2016 Through 04-11-2016",

year = "2017",

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doi = "10.1109/AUCC.2016.7868007",

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Zhang, X, Sun, Z & Yu, C 2017, Finite time synchronization of networked Kuramoto-like oscillators. in 2016 Australian Control Conference, AuCC 2016., 7868007, 2016 Australian Control Conference, AuCC 2016, Institute of Electrical and Electronics Engineers Inc., pp. 81-86, 2016 Australian Control Conference, AuCC 2016, Newcastle, Australia, 3/11/16. https://doi.org/10.1109/AUCC.2016.7868007

Finite time synchronization of networked Kuramoto-like oscillators. / Zhang, Xiaoxiang; Sun, Zhiyong; Yu, Changbin.
2016 Australian Control Conference, AuCC 2016. Institute of Electrical and Electronics Engineers Inc., 2017. p. 81-86 7868007 (2016 Australian Control Conference, AuCC 2016).

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

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N2 - In this paper we consider the finite time synchronization problem for networked Kuramoto oscillators. We propose two types of synchronization protocols, both of which involve continuous phase couplings. Based on the finite time Lyapunov theory, we prove that if initial phases of all oscillators are located in a semi-circle, then their phases will reach synchronization within a finite time. The upper bounds of the finite settling time for both synchronization protocols are also derived. We then extend the results to the case of Kuramoto oscillators with identical natural frequency. Several simulations are presented to demonstrate the performance of the proposed finite time phase-coupling controllers.

AB - In this paper we consider the finite time synchronization problem for networked Kuramoto oscillators. We propose two types of synchronization protocols, both of which involve continuous phase couplings. Based on the finite time Lyapunov theory, we prove that if initial phases of all oscillators are located in a semi-circle, then their phases will reach synchronization within a finite time. The upper bounds of the finite settling time for both synchronization protocols are also derived. We then extend the results to the case of Kuramoto oscillators with identical natural frequency. Several simulations are presented to demonstrate the performance of the proposed finite time phase-coupling controllers.

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Y2 - 3 November 2016 through 4 November 2016

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Finite time synchronization of networked Kuramoto-like oscillators

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