Random consensus in nonlinear systems under fixed topology

TL;DR

This paper studies how uncertain multi-agent systems with fixed communication structures can reach consensus almost surely using stochastic nonlinear protocols, combining advanced mathematical tools for analysis.

Contribution

It introduces a novel analysis of stochastic nonlinear consensus protocols under fixed topology, integrating stochastic analysis, graph theory, and matrix theory.

Findings

Consensus achieved almost surely under specified conditions

Convergence properties demonstrated through numerical examples

New theoretical framework for stochastic nonlinear consensus protocols

Abstract

This paper investigates the consensus problem in almost sure sense for uncertain multi-agent systems with noises and fixed topology. By combining the tools of stochastic analysis, algebraic graph theory, and matrix theory, we analyze the convergence of a class of distributed stochastic type non-linear protocols. Numerical examples are given to illustrate the results.