Introduction to Averaging Dynamics over Networks
Frasca, Paolo / Fagnani, Fabio This book deals with averaging dynamics, a paradigmatic example of network based dynamics in multi-agent systems. The book presents all the fundamental results on linear averaging dynamics, proposing a unified and updated viewpoint of many models and convergence results scattered in the literature.Starting from the classical evolution of the powers of a fixed stochastic matrix, the text then considers more general evolutions of products of a s...