基于合作-竞争关系马尔可夫切换下异质多智能体系统均方二分组一致研究  

Mean square couple-group consensus for heterogeneous multiagent systems based on Markov switching and cooperative-competitive relation

作　　者：蒲兴成 张玲侠[2] PU Xingcheng;ZHANG Lingxia(School of Mathematics and Computer Science,Tongling University,Tongling 244061,China;School of Automation,Chongqing University of Posts and Telecommunications,Chongqing 400065,China)

机构地区：[1]铜陵学院数学与计算机学院,安徽铜陵244061 [2]重庆邮电大学自动化学院,重庆400065

出　　处：《智能系统学报》2023年第4期803-812,共10页CAAI Transactions on Intelligent Systems

基　　金：国家自然科学基金项目(61876200);安徽省质量工程项目(2022cxtd162);安徽省自然科学基金项目(2008085MG227);铜陵学院人才引进项目(R23010);安徽省重点研究与开发计划项目(202004a05020010);重庆市教委项目(KJZD-M202001901);重庆市科委项目(cstc2020jcyj-msxmX0895);重庆市研究生创新项目(CYS21312)。

摘　　要：针对马尔可夫切换下离散和连续异质多智能体系统均方二分组一致问题,本文分别构造了2类包含合作竞争关系和马尔可夫切换拓扑结构异质多智能体系统均方二分组一致协议。利用随机不可约非周期矩阵(stochastic indecomposable and aperiodic matrices,SIA)相关性质、图论代数和矩阵分析等理论,得到相关系统实现均方二分组一致的充分必要条件。仿真实例说明了理论结果的有效性。In order to solve the problem of mean square couple-group consensus of discrete and continuous heterogeneous multiagent systems under Markov switching,this paper respectively constructs two kinds of mean square couplegroup consensus protocols of heterogeneous multi-agent systems(HMASs),including cooperative competition relationship and Markov switching topology heterogeneous multiagent systems.Based on related properties of stochastic irreducible aperiodic(SIA)matrix,graph theory algebra and matrix analysis,the necessary and sufficient conditions are obtained to realize mean square couple-group consensus.Simulation examples prove effectiveness of the result.

关 键 词：多智能体 马尔可夫 异质系统 切换网络 合作竞争关系 随机不可约非周期矩阵 均方二分组一致性 控制协议 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]