| A new approach to consensus problems in discrete-time multiagent systems with time-delays |
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| 作者单位： | WANG Long （Intelligent Control Laboratory, Center for Systems and Control, Department of Industrial Engineering and Management,and Department of Mechanics and Space Technologies, College of Engineering, Peking University, Beijing 100871,China） ;
XIAO Feng（Intelligent Control Laboratory, Center for Systems and Control, Department of Industrial Engineering and Management,and Department of Mechanics and Space Technologies, College of Engineering, Peking University, Beijing 100871,China） ; |
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| 基金项目： | 国家自然科学基金;国家重点基础研究发展计划(973计划);国家高技术研究发展计划(863计划);国家科技攻关项目 |
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| 摘 要： | In this paper, consensus problems in discrete-time multiagent systems with time-invariant delays are considered. In order to characterize the structures of communication topologies, the concept of "pre-leader-follower" decomposition is introduced. Then, a necessary and sufficient condition for state consensus is established. By this method, consensus problems in networks with a single time-delay, as well as with multiple time-delays, are studied, and some necessary and sufficient conditions for solvability of consensus problems are obtained.
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| 收稿时间： | 1 July 2005 |
| 修稿时间： | 21 March 2007 |
A new approach to consensus problems in discrete-time multiagent systems with time-delays |
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| Authors: | Wang Long Xiao Feng |
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| Affiliation: | Intelligent Control Laboratory, Center for Systems and Control, Department of Industrial Engineering and Management,and Department of Mechanics and Space Technologies, College of Engineering, Peking University, Beijing 100871,China |
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| Abstract: | In this paper, consensus problems in discrete-time multiagent systems with time-invariant delays are considered. In order to characterize the structures of communication topologies, the concept of "pre-leader-follower" decomposition is introduced. Then, a necessary and sufficient condition for state consensus is established. By this method, consensus problems in networks with a single time-delay, as well as with multiple time-delays, are studied, and some necessary and sufficient conditions for solvability of consensus problems are obtained. |
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| Keywords: | consensus problems time-delays communication topologies multiagent system decomposition |
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