Synchronization of networked oscillators under nonlinear integral coupling
Alexey Pavlov (Norwegian University of Science and Technology (NTNU), ITMO University)
A. V. Proskurnikov (TU Delft - Team Tamas Keviczky, Russian Academy of Sciences)
Erik Steur (TU Delft - Team Bart De Schutter)
Nathan van de Wouw (Eindhoven University of Technology, University of Minnesota, TU Delft - Team Bart De Schutter)
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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.