Consensus of discrete-time multi-agent systems with transmission nonlinearity

被引：134
作者：
Chen, Yao [1 ]
Lu, Jinhu [2 ]
Lin, Zongli [3 ]
机构：
[1] Beijing Jiaotong Univ, Sch Elect & Informat Engn, Beijing 100044, Peoples R China
[2] Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, LSC, Beijing 100190, Peoples R China
[3] Univ Virginia, Charles L Brown Dept Elect & Comp Engn, Charlottesville, VA 22904 USA
来源：
AUTOMATICA | 2013年 / 49卷 / 06期
基金：
澳大利亚研究理事会; 中国国家自然科学基金;
关键词：
Multi-agent systems; Consensus; Transmission nonlinearity; Convexity; CONVERGENCE; ALGORITHMS; STABILITY; COORDINATION;
D O I：
10.1016/j.automatica.2013.02.021
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A multi-agent system (MAS) consists of multiple agents, each under the influence of a local rule that represents its interaction with other agents. Most recent research on discrete-time MASs concentrates on local rules that are linear and does not deal with communication constraints on the information exchange among agents. However, local interactions between agents in the real world are more likely governed by nonlinear rules and are in the presence of time-varying delays. This paper aims to investigate the consensus of a discrete-time MAS with transmission nonlinearity and time-varying delays. In particular, based on a representative general nonlinear model, we obtain several basic criteria for the consensus of the MAS. These results cover several existing results as their special cases. Moreover, the model we consider does not satisfy the convexity assumption which was commonly taken as an important condition for the consensus of discrete-time MASs. The assumptions we make on the nonlinear transmission function are necessary in the sense that, if they are not satisfied, a connected topology can be constructed that does not guarantee consensus. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1768 / 1775
页数：8
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