摘要
针对具有随机切换拓扑结构的一类多智能体系统,考虑具有时变时滞的线性控制协议,研究了其平均一致性问题。假设智能体网络为有向强连通的,利用正交变换方法,将多智能体系统的平均一致性问题转化为其降维系统的稳定性问题,然后基于Lyapunov稳定性理论,通过引入适当的自由矩阵,获得了系统稳定的基于线性矩阵不等式的充分条件。仿真实例验证了所提方法的有效性。
For the linear control protocol with time-varying delay,this paper is devoted to the average-consensus problem of multi-agent systems with random switching topology in directed networks. Using the orthogonal matrix,we transform the average-consensus problem of multi-agent systems into the stability problem of the Dimension reduction system. The sufficient conditions in terms of linear matrix inequalities are given to guarantee the stability of the system, based on the Lyapunov stability theory and the free weighting matrix. Numerical simulations shows the effectiveness of the theoretical results.
出处
《江南大学学报（自然科学版）》
CAS
2014年第5期563-567,共5页
Joural of Jiangnan University (Natural Science Edition)
关键词
多智能体系统
马尔科夫切换拓扑
平均一致性
时变时滞
multi-agent systems, Markov switching topology, average-consensus, time-varying delay
作者简介
康玉婷（1988-），女，甘肃兰州人，控制理论与控制工程专业硕士研究生。
通信作者：李琳（1983-），女，山东临朐人，讲师，工学博士。主要从事鲁棒控制、多智能体系统等研究。Email：kang_yuting@163．com
