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 - 11 Jan 0202
Event	59th IEEE Conference on Decision and Control (CDC 2020) - Virtual, Jeju Island, Korea, Republic of Duration: 14 Dec 2020 → 18 Dec 2020 Conference number: 59 https://cdc2020.ieeecss.org/

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/

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10.1109/CDC42340.2020.9303910

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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.",

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Thomas, J , Steur, E, Fiter, C, Hetel, L & Van De Wouw, N 202, Exponential Synchronization of Nonlinear Oscillators under Sampled-Data Coupling. in 59th IEEE Conference on Decision and Control (CDC 2020)., 9303910, 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; Hetel, Laurentiu; Van De Wouw, Nathan.

59th IEEE Conference on Decision and Control (CDC 2020). Institute of Electrical and Electronics Engineers, 202. p. 1824-1829 9303910.

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

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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 - 202/1/11

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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.

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M3 - Conference contribution

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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 -

Exponential Synchronization of Nonlinear Oscillators under Sampled-Data Coupling

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