具有时滞和时变系数的离散多智能体系统的一致性  

Consensus of discrete multi-agent systems with delay and time-variant coefficients

作　　者：马忠军[1,2] 甘晓亮 蒋贵荣[1,2] 

机构地区：[1]桂林电子科技大学数学与计算科学学院,广西桂林541004 [2]桂林电子科技大学广西可信软件重点实验室,广西桂林541004 [3]桂林电子科技大学广西高校数据分析与计算重点实验室,广西桂林541004

出　　处：《控制与决策》2016年第10期1785-1790,共6页Control and Decision

基　　金：国家自然科学基金项目(11562006);广西高等学校优秀中青年骨干教师培养工程项目(gxqg022014025);桂林电子科技大学研究生教育创新计划项目(YJCXS201555)

摘　　要：研究一类具有时滞和时变系数的离散多智能体系统的一致性问题.首先,通过构造合适的控制协议,并以第一个智能体的位移作为参考状态,将原系统的一致性问题转化为误差系统中零解的渐近稳定性问题;然后,运用矩阵范数理论研究误差系统零解的渐近稳定性,导出使多智能体系统实现一致的充分条件;最后,通过数值模拟验证了该判据的正确性和有效性.The problem of consensus on a discrete multi-agent system with delay and time-variant coefficients is considered. Firstly, by constructing an appropriate control protocol and letting the position of the first agent be the reference state, the consensus problem of the original system is transformed into the asymptotic stability problem of the error system. Then, the asymptotic stability of the zero solution in the error system is investigated by using matrix norm theory, and some sufficient conditions for the multi-agent system to achieve consensus are obtained. Finally, numerical simulations are also given to validate the correctness and effectiveness of the proposed criteria.

关 键 词：多智能体系统 矩阵范数 一致性 渐近稳定 

分 类 号：TP271[自动化与计算机技术—检测技术与自动化装置]