Synchronization of Multi-Agent Systems With Time-Varying Control and Delayed Communications

被引：64
作者：
Jia, Qiang [1 ,2 ]
Han, Zeyu [3 ]
Tang, Wallace K. S. [3 ]
机构：
[1] Jiangsu Univ, Inst Appl Anal, Zhenjiang 212013, Jiangsu, Peoples R China
[2] Jiangsu Univ, Fac Sci, Zhenjiang 212013, Jiangsu, Peoples R China
[3] City Univ Hong Kong, Dept Elect Engn, Hong Kong, Peoples R China
来源：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS | 2019年 / 66卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Synchronization; Multi-agent systems; Delays; Couplings; Control systems; Stability analysis; Power system dynamics; multi-agent system; delayed system; data-sampling; intermittent control; SWITCHING TOPOLOGY; LINEAR-SYSTEMS; CONSENSUS; NETWORKS; AGENTS; STABILIZATION; INEQUALITIES; STRATEGY;
D O I：
10.1109/TCSI.2019.2928040
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
This paper investigates the synchronization problem of nonlinear multi-agent systems with time-varying control in the presence of transmission delay over a communication network. To facilitate the study, a novel delayed differential inequality with time-varying coefficients is first established. Then, the synchronization problem is recast into the stability problem of a delayed differential system with certain time-dependent parameter. A sufficient criterion is further formulated to guarantee the synchronization. The mathematical proof reveals that the time average of the control strength is crucial for reaching synchronization. Together with the agent dynamics and the topology, this average also governs the largest admissible delay. Moreover, the criterion is applied to synchronization problems with general on-off coupling under data sampling and delayed communications, respectively. Some useful corollaries are consequently deduced. Finally, numerical simulations are presented to illustrate the validity of our theoretical results.
引用
收藏
页码：4429 / 4438
页数：10
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