Stochastic Consensus of a Class of Continuous-Time Multi-Agent Systems with a Leading Agent. (30th March 2016)

• Record Type: Journal Article
• Authors: Zhu, Qiuguo; Wu, Jun; Xiong, Rong
• Is Part Of: International journal of advanced robotic systems. Volume 13:Number 2(2016)
• Publication Date: 2016-03-30
• Subjects: Consensus -- Multi-agent System -- Nonlinear Coupling -- Stochastic Switching Topology -- Markov Process; Robotics -- Periodicals; Robotics; Periodicals; 629.892
• DOI: 10.5772/62444
• Languages: English
• ISSNs: 1729-8806

Abstract

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.