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Impulsive Consensus for Leader-Following Multiagent Systems with Fixed and Switching Topology
Joint Authors
Zhou, Hong
Liu, Zhi-Wei
Guan, Zhi-Hong
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-18
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
This paper studied the consensus problem of the leader-following multiagent system.
It is assumed that the state information of the leader is only available to a subset of followers, while the communication among agents occurs at sampling instant.
To achieve leader-following consensus, a class of distributed impulsive control based on sampling information is proposed.
By using the stability theory of impulsive systems, algebraic graph theory, and stochastic matrices theory, a necessary and sufficient condition for fixed topology and sufficient condition for switching topology are obtained to guarantee the leader-following consensus of the multiagent system.
It is found that leader-following consensus is critically dependent on the sampling period, control gains, and interaction graph.
Finally, two numerical examples are given to illustrate the effectiveness of the proposed approach and the correctness of theoretical analysis.
American Psychological Association (APA)
Liu, Zhi-Wei& Guan, Zhi-Hong& Zhou, Hong. 2013. Impulsive Consensus for Leader-Following Multiagent Systems with Fixed and Switching Topology. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1010678
Modern Language Association (MLA)
Liu, Zhi-Wei…[et al.]. Impulsive Consensus for Leader-Following Multiagent Systems with Fixed and Switching Topology. Mathematical Problems in Engineering No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-1010678
American Medical Association (AMA)
Liu, Zhi-Wei& Guan, Zhi-Hong& Zhou, Hong. Impulsive Consensus for Leader-Following Multiagent Systems with Fixed and Switching Topology. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1010678
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1010678