Stochastic Consensus of Linear Multi-Agent Systems: Communication Noises and Markovian Switching Topologies
This paper studies the mean square and almost sure consensus of discrete-time linear multi-agent systems with communication noises under Markovian switching topologies. By a sophisticated stochastic-approximation type protocol, the closed-loop dynamics of this linear multi-agent system can be transformed into a discrete-time first-order integral multi-agent system. It is proved that if all roots of a polynomial, whose coefficients are the parameters in the gain vector of the proposed protocol, are in the unit circle, there is certain equivalence between the consensus of original linear multi-agent system and the consensus of transformed first-order integral multi-agent system. Then some sufficient conditions on the mean square/almost sure consensus of linear multi-agent systems can be obtained accordingly. Finally, theoretical analysis is verified by simulation examples.
Multi-agent systems Consensus Stochastic noise Markovian switching topology Linear time-invariant dynamics
Long Cheng Yunpeng Wang Zeng-Guang Hou Min Tan
State Key Laboratory of Management an Control for Complex, Institute of Automation Chinese Academy of Sciences, Beijing 100190, China
国际会议
长沙
英文
274-279
2014-05-31（万方平台首次上网日期，不代表论文的发表时间）