Distributed Discontinuous Coupling for Convergence in Networks of Heterogeneous Nonlinear Systems
Systems and Control
2020-03-24 v1 Systems and Control
Abstract
Synchronization is a crucial phenomenon in many natural and artificial complex network systems. Applications include neuronal networks, formation control and coordination in robotics, and frequency synchronization in electrical power grids. In this paper, we propose the use of a distributed discontinuous coupling protocol to achieve convergence and synchronization in networks of non-identical nonlinear dynamical systems. We show that the synchronous dynamics is a solution to the average of the nodes' vector fields, and derive analytical estimates of the critical coupling gains required to achieve convergence. Numerical simulations are used to illustrate and validate the theoretical results.
Keywords
Cite
@article{arxiv.2003.10348,
title = {Distributed Discontinuous Coupling for Convergence in Networks of Heterogeneous Nonlinear Systems},
author = {Marco Coraggio and Pietro DeLellis and Mario di Bernardo},
journal= {arXiv preprint arXiv:2003.10348},
year = {2020}
}