Lower Bounds on the Proportion of Leaders Needed for Expected Consensus of 3-D Flocks

doi:10.1109/TNNLS.2016.2598576

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	Lower Bounds on the Proportion of Leaders Needed for Expected Consensus of 3-D Flocks
	Li, Xuejing 1; Wang, Lin 2,3; Liu, Zhixin4 ; Dong, Daoyi 5
	2017-11-01
发表期刊	IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
ISSN	2162-237X
卷号	28 期号:11 页码:2555-2565
摘要	This paper considers the consensus behavior of a spatially distributed 3-D dynamical network composed of heterogeneous agents: leaders and followers, in which the leaders have the preferred information about the destination, while the followers do not have. All followers move in a 3-D Euclidean space with a given speed and with their headings updated according to the average velocity of the corresponding neighbors. Compared with the 2-D model, a key point lies in how to analyze the dynamical behavior of a "linear" nonhomogeneous equation where the nonhomogeneous term strongly nonlinearly depends on the states of all agents. Using the network structure and the estimation of some characteristics for the initial states, we present a proper decaying rate for the nonhomogeneous term and then establish lower bounds on the ratio of the number of leaders to the number of followers that is needed for the expected consensus by considering two cases: 1) fixed speed and neighborhood radius and 2) variable speed and neighborhood radius with respect to the population size. Some simulation examples are given to justify the theoretical results.
关键词	3-D flocking model expected consensus leader-follower model lower bound
DOI	10.1109/TNNLS.2016.2598576
语种	英语
资助项目	National Natural Science Foundation of China[61273221] ; National Natural Science Foundation of China[61473189] ; Research Fund for the Doctoral Program of Higher Education of China ; National Key Basic Research Program of China (973 program)[2014CB845302] ; Australian Research Council's Discovery Projects funding scheme[DP130101658]
WOS研究方向	Computer Science ; Engineering
WOS类目	Computer Science, Artificial Intelligence ; Computer Science, Hardware & Architecture ; Computer Science, Theory & Methods ; Engineering, Electrical & Electronic
WOS记录号	WOS:000413403900008
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/29077
专题	系统科学研究所
通讯作者	Li, Xuejing
作者单位	1.Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China 2.Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200240, Peoples R China 3.Minist Educ, Key Lab Syst Control & Informat Proc, Shanghai 200240, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 5.Univ New South Wales, Sch Engn & Informat Technol, Canberra, ACT 2600, Australia
推荐引用方式 GB/T 7714	Li, Xuejing,Wang, Lin,Liu, Zhixin,et al. Lower Bounds on the Proportion of Leaders Needed for Expected Consensus of 3-D Flocks[J]. IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS,2017,28(11):2555-2565.
APA	Li, Xuejing,Wang, Lin,Liu, Zhixin,&Dong, Daoyi.(2017).Lower Bounds on the Proportion of Leaders Needed for Expected Consensus of 3-D Flocks.IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS,28(11),2555-2565.
MLA	Li, Xuejing,et al."Lower Bounds on the Proportion of Leaders Needed for Expected Consensus of 3-D Flocks".IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS 28.11(2017):2555-2565.