受限切换拓扑时延多智能体系统的指数一致性

›› 2016, Vol. 29 ›› Issue (10): 62-.

受限切换拓扑时延多智能体系统的指数一致性

梁志鹏 1，李杰雄 2，江泓逸 2

(1.香港科技大学理学院，香港 999077；2.广东外语外贸大学金融学院，广东广州 510006)

出版日期:2016-10-15 发布日期:2016-11-14
作者简介:梁志鹏（1992-），男，硕士研究生。研究方向：应用数学。
基金资助:
国家级大学生创新训练基金资助项目（201511846024）

Exponential Consensus of Multi-agent Systems with Timevarying Delay Under Constrained Switching Topologies

LIANG Zhipeng1, LI Jiexiong2, JIANG Hongyi2

(1. School of Science, Hong Kong University of Science and Technology, Hong Kong 999077, China; 2. School of Finance, Guangdong University of Foreign Studies, Guangzhou 510006, China)

Online:2016-10-15 Published:2016-11-14

摘要/Abstract

摘要：

针对多智能体系统的一致性问题，建立一阶动力学模型，并考虑时变时延和受限拓扑切换，设计出相应的一致性控制器，其中有向网络拓扑根据ADT型切换信号进行切换，并通过状态变换将一致性问题转化为低阶差异系统的指数稳定性问题，通过构造分段Lyapunov-Krasovskii泛函，并借助詹森不等式给出在线性矩阵不等式框架下多智能体系统达到指数一致性的充分条件。

关键词: 多智能体系统, 指数一致性, 一阶积分器, 时变时延, 受限切换

Abstract:

The consensus protocol is designed under constrained switching topologies orchestrated by switching signal with ADT property to addresses consensus problem of first order multiagent systems (MASs). By introducing a state transformation, the problem is converted to the exponential stability problem of a reducedorder disagreement system. By constructing the piecewise LyapunovKrasovskii functionals, some sufficient conditions in the form of linear matrix inequality for exponential consensus are derived with the help of Jensens Inequality.

Key words: multi agent system, exponential consensus, single integrator, time varying delay, constrained switching topology

中图分类号:

TP273+.5

梁志鹏 1，李杰雄 2，江泓逸 2. 受限切换拓扑时延多智能体系统的指数一致性[J]. , 2016, 29(10): 62-.

LIANG Zhipeng1, LI Jiexiong2, JIANG Hongyi2. Exponential Consensus of Multi-agent Systems with Timevarying Delay Under Constrained Switching Topologies[J]. , 2016, 29(10): 62-.