Lower Bounds on the Proportion of Leaders Needed for Expected Consensus of 3-D Flocks
文献类型：期刊论文
| 作者 | Li, Xuejing1; Wang, Lin2,3; Liu, Zhixin4 ; Dong, Daoyi5
|
| 刊名 | IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
 |
| 出版日期 | 2017-11-01 |
| 卷号 | 28期号:11页码:2555-2565 |
| 关键词 | 3-D flocking model expected consensus leader-follower model lower bound |
| ISSN号 | 2162-237X |
| DOI | 10.1109/TNNLS.2016.2598576 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000413403900008 |
| 出版者 | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/29076]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。