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 proceedingConference contributionAcademicpeer-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 languageEnglish
Title of host publication59th IEEE Conference on Decision and Control (CDC 2020)
PublisherInstitute of Electrical and Electronics Engineers
Pages1824-1829
Number of pages6
ISBN (Electronic)9781728174471
DOIs
Publication statusPublished - 11 Jan 0202
Event59th IEEE Conference on Decision and Control (CDC 2020) - Virtual, Jeju Island, Korea, Republic of
Duration: 14 Dec 202018 Dec 2020
Conference number: 59
https://cdc2020.ieeecss.org/

Conference

Conference59th IEEE Conference on Decision and Control (CDC 2020)
Abbreviated titleCDC
Country/TerritoryKorea, Republic of
CityVirtual, Jeju Island
Period14/12/2018/12/20
Internet address

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