有向切换网络拓扑下非线性多智能体系统的包含控制  

Containmentcontrol of Nonlinear Multi-agent Systems with Directedswitching Topologies

作　　者：贺清碧[1] 唐朝君[2] 黄大荣[1] 杨永琴[3] 

机构地区：[1]重庆交通大学信息科学与工程学院,重庆400074 [2]重庆理工大学理学院,重庆400054 [3]重庆交通大学数学与统计学院,重庆400074

出　　处：《科学技术与工程》2017年第16期254-258,共5页Science Technology and Engineering

基　　金：国家自然科学基金项目(61004118;11071266);重庆市基础与前沿研究计划项目(cstc2016jcyjA 0396);重庆市教委自然科学基金项目(KJ120422);重庆市教委科学技术研究项目(KJ1600915;KJ1500501;KJ130414)资助

摘　　要：针对具有本质非线性动态的多智能体系统,研究有向切换网络拓扑下多智能体系统的包含控制。假设系统中的每个智能体具有相同的非线性动态,而且仅有部分跟随者能够获取领导者的信息。利用代数图论、非负矩阵理论和Lyapunov稳定性分析的方法,得到了有向切换网络拓扑下所给协议解决包含控制问题的充分条件。仿真实例验证了理论结果的正确性。Distributed containment control problem is investigated for multi-agent systems with inherent nonlinear dynamics under directed and switching topologies. Each agent in the system has the same inherent nonlinear dynamics,and only a subset of followers can obtain information from the considered leaders. By employing algebraic graph theory,nonnegative matrix theory and Lyapunov stability analysis method,sufficient condition is derived to solve the containment control under directed and switching topologies by proposed control protocol. Simulation example is presented to illustrate the effectiveness of the theoretical results.

关 键 词：多智能体系统 非线性动态 包含控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]