2020/03/23 by Marco Coraggio, Coraggio, Marco, Pietro De Lellis +3
Biochemistry, Genetics and Molecular Biology · Computer Science · #Distributed Control Multi-Agent Systems #FOS: Electrical engineering #Gene Regulatory Network Analysis #Neural Networks Stability and Synchronization #Nonlinear Dynamics and Pattern Formation #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.2003.10348
openalex publication_date 2020/03/23 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28
Synchronization is a crucial phenomenon in many natural and artificial\ncomplex network systems. Applications include neuronal networks, formation\ncontrol and coordination in robotics, and frequency synchronization in\nelectrical power grids. In this paper, we propose the use of a distributed\ndiscontinuous coupling protocol to achieve convergence and synchronization in\nnetworks of non-identical nonlinear dynamical systems. We show that the\nsynchronous dynamics is a solution to the average of the nodes' vector fields,\nand derive analytical estimates of the critical coupling gains required to\nachieve convergence. Numerical simulations are used to illustrate and validate\nthe theoretical results.\n