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Exponential Synchronization of Nonlinear Oscillators Under Sampled-Data Coupling

Abstract : This paper presents a novel approach towards synchronization analysis of nonlinear oscillatory systems, bidi-rectionally 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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https://hal.inria.fr/hal-02934258
Contributor : Jijju Thomas <>
Submitted on : Wednesday, September 9, 2020 - 10:21:16 AM
Last modification on : Friday, December 11, 2020 - 6:44:08 PM
Long-term archiving on: : Wednesday, December 2, 2020 - 11:42:35 PM

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Jijju Thomas, Erik Steur, Christophe Fiter, Laurentiu Hetel, Nathan van de Wouw. Exponential Synchronization of Nonlinear Oscillators Under Sampled-Data Coupling. [Technical Report] Centrale Lille; TU Eindhoven. 2020. ⟨hal-02934258v1⟩

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