Consensus analysis of switching multi-agent systems with fixed topology and time-delay

被引：10
|
作者：
Pei, Yongquan [1 ]
Sun, Jitao [1 ]
机构：
[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2016年 / 463卷
基金：
中国国家自然科学基金;
关键词：
Multi-agent systems; Average consensus; Discrete-time system; Markov switching system; Time-delay; Lyapunov functional; SINGULAR SWARM SYSTEMS; JUMP LINEAR-SYSTEMS; DISTRIBUTED CONSENSUS; EXTERNAL DISTURBANCES; ADMISSIBLE CONSENSUS; SAMPLED-DATA; CONTROLLERS; NOISES; STABILIZATION; NETWORKS;
D O I：
10.1016/j.physa.2016.07.039
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper investigates the average consensus problems of the discrete-time Markov switching linear multi-agent systems (LMAS) with fixed topology and time-delay. Firstly, we introduce a concept of the average consensus to adapt the stochastic systems. Secondly, a time-delay switching consensus protocol is proposed. By developing a new signal mode, the switching signal of the systems and the time-delay signal of the controller can be merged into one signal. Thirdly, by Lyapunov technique, two LMIs criteria of average consensus are provided, and they reveal that the consensus of the multi-agent systems relates to the spectral radius of the Laplacian matrix. Furthermore, by our results and CCL-type algorithms, we can get the gain matrices. Finally, a numerical example is given to illustrate the efficiency of our results. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码：437 / 444
页数：8
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