Exponential Synchronization of Nonlinear Oscillators under Sampled-Data Coupling

Jijju Thomas; Erik Steur; Christophe Fiter; Laurentiu Hetel; Nathan Van De Wouw

doi:10.1109/CDC42340.2020.9303910

Exponential Synchronization of Nonlinear Oscillators under Sampled-Data Coupling

Jijju Thomas, Erik Steur, Christophe Fiter, Laurentiu Hetel, Nathan Van De Wouw

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

1 Citation (Scopus)

Abstract

This paper presents a novel approach towards synchronization analysis of nonlinear oscillatory systems, bidirectionally coupled via a networked communication channel. The system under consideration is a two-agent nonlinear system, under the constraint that information is transmitted between the two systems using a sampled-data communication strategy that could be periodic or aperiodic. The networked system dynamics is remodelled as a feedback-interconnection of a continuous-time system, and an operator that accounts for the communication constraints. By studying the properties of this feedback-interconnection in the framework of dissipativity theory, we provide a novel criterion that guarantees exponential synchronization. The provided criterion also aids in deciding the trade-off between a bound on the sampling intervals, the coupling gain, and the desired transient rate of synchronization. Finally, the theoretical results are illustrated using a two-agent Fitzhugh-Nagumo system.

Original language	English
Title of host publication	59th IEEE Conference on Decision and Control (CDC 2020)
Publisher	Institute of Electrical and Electronics Engineers
Pages	1824-1829
Number of pages	6
ISBN (Electronic)	9781728174471
DOIs	https://doi.org/10.1109/CDC42340.2020.9303910
Publication status	Published - 1 Nov 2021
Event	59th IEEE Conference on Decision and Control, CDC 2020 - Virtual/Online, Virtual, Jeju Island, Korea, Republic of Duration: 14 Dec 2020 → 18 Dec 2020 Conference number: 59 https://cdc2020.ieeecss.org/

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Volume	2020-December
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	59th IEEE Conference on Decision and Control, CDC 2020
Abbreviated title	CDC
Country/Territory	Korea, Republic of
City	Virtual, Jeju Island
Period	14/12/20 → 18/12/20
Internet address	https://cdc2020.ieeecss.org/

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

Access to Document

10.1109/CDC42340.2020.9303910

Cite this

Thomas, J., Steur, E., Fiter, C., Hetel, L., & Van De Wouw, N. (2021). Exponential Synchronization of Nonlinear Oscillators under Sampled-Data Coupling. In 59th IEEE Conference on Decision and Control (CDC 2020) (pp. 1824-1829). [9303910] (Proceedings of the IEEE Conference on Decision and Control; Vol. 2020-December). Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/CDC42340.2020.9303910

@inproceedings{b70303d8759f47e6abc47f84198a32a9,

title = "Exponential Synchronization of Nonlinear Oscillators under Sampled-Data Coupling",

abstract = "This paper presents a novel approach towards synchronization analysis of nonlinear oscillatory systems, bidirectionally coupled via a networked communication channel. The system under consideration is a two-agent nonlinear system, under the constraint that information is transmitted between the two systems using a sampled-data communication strategy that could be periodic or aperiodic. The networked system dynamics is remodelled as a feedback-interconnection of a continuous-time system, and an operator that accounts for the communication constraints. By studying the properties of this feedback-interconnection in the framework of dissipativity theory, we provide a novel criterion that guarantees exponential synchronization. The provided criterion also aids in deciding the trade-off between a bound on the sampling intervals, the coupling gain, and the desired transient rate of synchronization. Finally, the theoretical results are illustrated using a two-agent Fitzhugh-Nagumo system.",

author = "Jijju Thomas and Erik Steur and Christophe Fiter and Laurentiu Hetel and {Van De Wouw}, Nathan",

year = "2021",

month = nov,

day = "1",

doi = "10.1109/CDC42340.2020.9303910",

language = "English",

series = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "Institute of Electrical and Electronics Engineers",

pages = "1824--1829",

booktitle = "59th IEEE Conference on Decision and Control (CDC 2020)",

address = "United States",

note = "59th IEEE Conference on Decision and Control, CDC 2020, CDC ; Conference date: 14-12-2020 Through 18-12-2020",

url = "https://cdc2020.ieeecss.org/",

}

Thomas, J, Steur, E, Fiter, C, Hetel, L & Van De Wouw, N 2021, Exponential Synchronization of Nonlinear Oscillators under Sampled-Data Coupling. in 59th IEEE Conference on Decision and Control (CDC 2020)., 9303910, Proceedings of the IEEE Conference on Decision and Control, vol. 2020-December, Institute of Electrical and Electronics Engineers, pp. 1824-1829, 59th IEEE Conference on Decision and Control, CDC 2020, Virtual, Jeju Island, Korea, Republic of, 14/12/20. https://doi.org/10.1109/CDC42340.2020.9303910

Exponential Synchronization of Nonlinear Oscillators under Sampled-Data Coupling. / Thomas, Jijju; Steur, Erik; Fiter, Christophe et al.
59th IEEE Conference on Decision and Control (CDC 2020). Institute of Electrical and Electronics Engineers, 2021. p. 1824-1829 9303910 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2020-December).

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

TY - GEN

T1 - Exponential Synchronization of Nonlinear Oscillators under Sampled-Data Coupling

AU - Thomas, Jijju

AU - Steur, Erik

AU - Fiter, Christophe

AU - Hetel, Laurentiu

AU - Van De Wouw, Nathan

N1 - Conference code: 59

PY - 2021/11/1

Y1 - 2021/11/1

N2 - This paper presents a novel approach towards synchronization analysis of nonlinear oscillatory systems, bidirectionally coupled via a networked communication channel. The system under consideration is a two-agent nonlinear system, under the constraint that information is transmitted between the two systems using a sampled-data communication strategy that could be periodic or aperiodic. The networked system dynamics is remodelled as a feedback-interconnection of a continuous-time system, and an operator that accounts for the communication constraints. By studying the properties of this feedback-interconnection in the framework of dissipativity theory, we provide a novel criterion that guarantees exponential synchronization. The provided criterion also aids in deciding the trade-off between a bound on the sampling intervals, the coupling gain, and the desired transient rate of synchronization. Finally, the theoretical results are illustrated using a two-agent Fitzhugh-Nagumo system.

AB - This paper presents a novel approach towards synchronization analysis of nonlinear oscillatory systems, bidirectionally coupled via a networked communication channel. The system under consideration is a two-agent nonlinear system, under the constraint that information is transmitted between the two systems using a sampled-data communication strategy that could be periodic or aperiodic. The networked system dynamics is remodelled as a feedback-interconnection of a continuous-time system, and an operator that accounts for the communication constraints. By studying the properties of this feedback-interconnection in the framework of dissipativity theory, we provide a novel criterion that guarantees exponential synchronization. The provided criterion also aids in deciding the trade-off between a bound on the sampling intervals, the coupling gain, and the desired transient rate of synchronization. Finally, the theoretical results are illustrated using a two-agent Fitzhugh-Nagumo system.

UR - http://www.scopus.com/inward/record.url?scp=85099882102&partnerID=8YFLogxK

U2 - 10.1109/CDC42340.2020.9303910

DO - 10.1109/CDC42340.2020.9303910

M3 - Conference contribution

AN - SCOPUS:85099882102

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 1824

EP - 1829

BT - 59th IEEE Conference on Decision and Control (CDC 2020)

PB - Institute of Electrical and Electronics Engineers

T2 - 59th IEEE Conference on Decision and Control, CDC 2020

Y2 - 14 December 2020 through 18 December 2020

ER -

Thomas J, Steur E, Fiter C, Hetel L, Van De Wouw N. Exponential Synchronization of Nonlinear Oscillators under Sampled-Data Coupling. In 59th IEEE Conference on Decision and Control (CDC 2020). Institute of Electrical and Electronics Engineers. 2021. p. 1824-1829. 9303910. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC42340.2020.9303910

Exponential Synchronization of Nonlinear Oscillators under Sampled-Data Coupling

Abstract

Publication series

Conference

UN SDGs

Access to Document

Other files and links

Fingerprint

Cite this