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带有领航者的非线性Markov切换多智能体系统的均方一致性

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Statistics and Application 统计学与应用
Mean Square Consensus for  
Leader-Following Nonlinear  
Multi-Agent Systems under  
Markov Switching Topologies  
Zhichao Li  
Department of Mathematics, School of Science, Beijing Technology and Business University, Beijing  
Received: Nov. 28th, 2016; accepted: Dec. 13th, 2016; published: Dec. 23rd, 2016  
Copyright © 2016 by author and Hans Publishers Inc.  
ons Attribution International License (CC BY).  
Open Access  
Abstract  
In recent years, with the rapid development of science and application, cooperative control of  
multi-agent systems has become a hot research in the field of control. As the basis of the coordina-  
tion problem for multi-agent systems, the consensus problem has attracted more and more atten-  
tions. Aimed at nonlinear multi-agent systems, control algorithm has been designed, using Riccati  
equation, and some criteria for achieving the mean square consensus via the properties of Markov  
theory. Finally, some simulation examples are provided to illustrate the effectiveness of the theo-  
retical results.  
Keywords  
Multi-Agent Systems, Mean Square Consensus, Leader, Riccati Equation, Markov Switch Topologies  
带有领航者的非线性Markov切换多智能体系统  
的均方一致性  
李智超  
北京工商大学理学院数学系,北京  
切换多智能体系统的均方一致性[J]. 统计学与应用, 2016, 5(4):  
380-388

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