Information topology-independent consensus criteria for second-order systems under directed graph

被引：0
作者：
机构：
[1] Research Center of Satellite Technology, Harbin Institute of Technology
来源：
Guo, H.-B. (guohaiboghb@gmail.com) | 1600年 / Science Press卷 / 39期
基金：
中国国家自然科学基金;
关键词：
Consensus; Cooperative control; Directed graph; Multi-agent systems; Time delay;
D O I：
10.1016/s1874-1029(13)60064-6
中图分类号：
学科分类号：
摘要：
In this paper, consensus seeking of second-order systems without leaders is investigated under possibly switching directed graphs. Two consensus algorithms using different cooperative schemes are proposed and some information topology-independent criteria are obtained. For the first one, an eigenvalue-based analysis is taken to attain a sufficient and necessary condition for consensus seeking under fixed directed graph. For the second one, consensus can be achieved as long as the union of the switching graphs has a directed spanning tree frequently enough. Convergence analysis is presented, which is facilitated by an equivalent model transformation into a cascaded system. A novel sufficient and necessary condition for consensus seeking under switching undirected graph is also obtained using the same strategy. Moreover, robustness of both the algorithms to time-delays is studied under fixed directed graph. Illustrative examples are also provided to show the effectiveness of the theoretical results. Copyright © 2013 Acta Automatica Sinica. All rights reserved.
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页码：995 / 1002
页数：7
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