Consensus on Intervals of Communication Delay

doi:10.1007/s11633-017-1095-6

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	Consensus on Intervals of Communication Delay
	Heitor J. Savino 1,2; Fernando O. Souza 3; Luciano C. A. Pimenta 3
发表期刊	International Journal of Automation and Computing
ISSN	1476-8186
	2018
卷号	15 期号:1 页码:13-25
摘要	This paper brings out a structured methodology for identifying intervals of communication time-delay where consensus in directed networks of multiple agents with high-order integrator dynamics is achieved. It is built upon the stability analysis of a transformed consensus problem which preserves all the nonzero eigenvalues of the Laplacian matrix of the associated communication topology graph. It is shown that networks of agents with first-order integrator dynamics can be brought to consensus independently of communication delay, on the other hand, for agents with second-order integrator dynamics, the consensus is achieved independently of communication delay only if certain conditions are satisfied. Conversely, if such conditions are not satisfied, it is shown how to compute the intervals of communication delay where multiple agents with second-order or higher-order can be brought to consensus. The paper is ended by showing an interesting example of a network of agents with second-order integrator dynamics which is consensable on the first time-delay interval, but as the time-delay increases, it loses consensability on the second time-delay interval, then it becomes consensable again on the third time-delay interval, and finally it does not achieve consensus any more on the fourth time-delay interval.This example shows the importance of analyzing consensus with time-delay in different intervals.
关键词	Time delay systems multi-agent systems consensus communication delay roots location.
DOI	10.1007/s11633-017-1095-6
引用统计	被引频次：5[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.ia.ac.cn/handle/173211/42388
专题	学术期刊_Machine Intelligence Research
作者单位	1.Graduate Program in Electrical Engineering, Federal University of Minas Gerais, Belo Horizonte 31270-901, Brazil 2.Institute of Computing, Federal University of Alagoas, Maceio 57072-900, Brazil 3.Department of Electronic Engineering, Federal University of Minas Gerais, Belo Horizonte 31270-901, Brazil
推荐引用方式 GB/T 7714	Heitor J. Savino,Fernando O. Souza,Luciano C. A. Pimenta. Consensus on Intervals of Communication Delay[J]. International Journal of Automation and Computing,2018,15(1):13-25.
APA	Heitor J. Savino,Fernando O. Souza,&Luciano C. A. Pimenta.(2018).Consensus on Intervals of Communication Delay.International Journal of Automation and Computing,15(1),13-25.
MLA	Heitor J. Savino,et al."Consensus on Intervals of Communication Delay".International Journal of Automation and Computing 15.1(2018):13-25.

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