Synchronization of networked oscillators under nonlinear integral coupling
Alexey Pavlov (Norwegian University of Science and Technology (NTNU), ITMO University)
Anton V. Proskurnikov (TU Delft - Mechanical Engineering, Russian Academy of Sciences)
Erik Steur (TU Delft - Mechanical Engineering)
Nathan van de Wouw (Eindhoven University of Technology, University of Minnesota, TU Delft - Mechanical Engineering)
More Info
expand_more
Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.
Abstract
In this paper, we consider synchronization of dynamical systems interconnected via nonlinear integral coupling. Integral coupling allows one to achieve synchronization with lower interaction levels (coupling gains) than with linear coupling. Previous results on this topic were obtained for synchronization of several systems with all-to-all interconnections. In this paper, we relax the requirement of all-to-all interconnections and provide two results on exponential synchronization under nonlinear integral coupling for networks with topologies different from all-to-all interconnections. In particular, we provide a high-gain result for an arbitrary interconnection topology and a non-high-gain method for analysis of synchronization for specific topologies. The results are illustrated by simulations of Hindmarsh-Rose neuron oscillators.