Controllability of Second-Order Multiagent Systems with Multiple Leaders and General Dynamics

This paper proposes a new second-order discrete-time multiagent model and addresses the controllability of second-order multiagent system with multiple leaders and general dynamics. The leaders play an important role in governing the other member agents to achieve any desired configuration. Some suf...

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Main Authors:	Bo Liu, Hongke Feng, Li Wang, Rong Li, Junyan Yu, Housheng Su, Guangming Xie
Format:	Article
Language:	English
Published:	Hindawi Limited 2013-01-01
Series:	Mathematical Problems in Engineering
Online Access:	http://dx.doi.org/10.1155/2013/587569

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spelling	doaj-fdf47afbf301467a94f363d391d39d3e2020-11-24T23:13:29ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472013-01-01201310.1155/2013/587569587569Controllability of Second-Order Multiagent Systems with Multiple Leaders and General DynamicsBo Liu0Hongke Feng1Li Wang2Rong Li3Junyan Yu4Housheng Su5Guangming Xie6College of Science, North China University of Technology, Beijing 100144, ChinaCollege of Science, North China University of Technology, Beijing 100144, ChinaBeijing Key Lab of Urban Intelligent Traffic Control Technology, North China University of Technology, Beijing 100144, ChinaDepartment of Applied Mathematical Sciences, Shanghai Finance University, Shanghai 201209, ChinaCollege of Mathematical Science, University of Electronic Science and Technology of China, Chengdu 611731, ChinaDepartment of Control Science and Engineering, Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Huazhong University of Science and Technology, Wuhan 430074, ChinaIntelligent Control Laboratory, Center for Systems and Control, Department of Industrial Engineering and Management, College of Engineering, Peking University, Beijing 100871, ChinaThis paper proposes a new second-order discrete-time multiagent model and addresses the controllability of second-order multiagent system with multiple leaders and general dynamics. The leaders play an important role in governing the other member agents to achieve any desired configuration. Some sufficient and necessary conditions are given for the controllability of the second-order multiagent system. Moreover, the speed controllability of the second-order multiagent system with general dynamics is discussed. Particularly, it is shown that the controllability of the whole system relies on the number of leaders and the connectivity between the leaders and the members. Numerical examples illustrate the theoretical results.http://dx.doi.org/10.1155/2013/587569
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Bo Liu Hongke Feng Li Wang Rong Li Junyan Yu Housheng Su Guangming Xie
spellingShingle	Bo Liu Hongke Feng Li Wang Rong Li Junyan Yu Housheng Su Guangming Xie Controllability of Second-Order Multiagent Systems with Multiple Leaders and General Dynamics Mathematical Problems in Engineering
author_facet	Bo Liu Hongke Feng Li Wang Rong Li Junyan Yu Housheng Su Guangming Xie
author_sort	Bo Liu
title	Controllability of Second-Order Multiagent Systems with Multiple Leaders and General Dynamics
title_short	Controllability of Second-Order Multiagent Systems with Multiple Leaders and General Dynamics
title_full	Controllability of Second-Order Multiagent Systems with Multiple Leaders and General Dynamics
title_fullStr	Controllability of Second-Order Multiagent Systems with Multiple Leaders and General Dynamics
title_full_unstemmed	Controllability of Second-Order Multiagent Systems with Multiple Leaders and General Dynamics
title_sort	controllability of second-order multiagent systems with multiple leaders and general dynamics
publisher	Hindawi Limited
series	Mathematical Problems in Engineering
issn	1024-123X 1563-5147
publishDate	2013-01-01
description	This paper proposes a new second-order discrete-time multiagent model and addresses the controllability of second-order multiagent system with multiple leaders and general dynamics. The leaders play an important role in governing the other member agents to achieve any desired configuration. Some sufficient and necessary conditions are given for the controllability of the second-order multiagent system. Moreover, the speed controllability of the second-order multiagent system with general dynamics is discussed. Particularly, it is shown that the controllability of the whole system relies on the number of leaders and the connectivity between the leaders and the members. Numerical examples illustrate the theoretical results.
url	http://dx.doi.org/10.1155/2013/587569
work_keys_str_mv	AT boliu controllabilityofsecondordermultiagentsystemswithmultipleleadersandgeneraldynamics AT hongkefeng controllabilityofsecondordermultiagentsystemswithmultipleleadersandgeneraldynamics AT liwang controllabilityofsecondordermultiagentsystemswithmultipleleadersandgeneraldynamics AT rongli controllabilityofsecondordermultiagentsystemswithmultipleleadersandgeneraldynamics AT junyanyu controllabilityofsecondordermultiagentsystemswithmultipleleadersandgeneraldynamics AT houshengsu controllabilityofsecondordermultiagentsystemswithmultipleleadersandgeneraldynamics AT guangmingxie controllabilityofsecondordermultiagentsystemswithmultipleleadersandgeneraldynamics
_version_	1725598219919949824

Controllability of Second-Order Multiagent Systems with Multiple Leaders and General Dynamics

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