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Mathematical Problems in Engineering
Article . 2014 . Peer-reviewed
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Mathematical Problems in Engineering
Article
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Article . 2014
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Formation Control of Second‐Order Multiagent Systems with Time‐Varying Delays

Formation control of second-order multiagent systems with time-varying delays
Authors: Hong Xia; Ting-Zhu Huang; Jin-Liang Shao; Jun-Yan Yu;

Formation Control of Second‐Order Multiagent Systems with Time‐Varying Delays

Abstract

A formation control problem for second‐order multiagent systems with time‐varying delays is considered. First, a leader‐following consensus protocol is proposed for theoretical preparation. With the help of Lyapunov‐Krasovskii functional, a sufficient condition under this protocol is derived for stability of the multiagent systems. Then, the protocol is extended to the formation control based on a multiple leaders’ architecture. It is shown that the agents will attain the expected formation. Finally, some simulations are provided to demonstrate the effectiveness of our theoretical results.

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Keywords

Decentralized systems, Control/observation systems governed by ordinary differential equations

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
Average
Average
gold