Stochastic Consensus of a Class of Continuous-time Multi-agent Systems with a Leading Agent

摘要

A stochastic consensus problem is studied for a class of continuous-time multi-agent systems with a leading agent. The systems have a switching coupling topology driven by a homogeneous Markov process. The unknown coupling functions among agents are nonlinear or even discontinuous. Under some constraints on the unknown coupling functions, a sufficient condition is provided to guarantee stochastic consensus. The condition is in the form of a linear matrix inequality, which is computationally convenient.