Affiliation:
1. College of Automation Engineering, Qingdao University, Qingdao 266071, China
Abstract
Abstract
This article investigates the controllability of path and star graphs under the protocol of second-order neighbours. With identified special control nodes, a sufficient condition is first derived for the controllability of path graph by taking advantage of the protocol of second-order neighbours. Then necessary and sufficient conditions are developed respectively for the single and multiple leaders. Some differences between the protocol of second-order neighbours and first-order neighbours are also presented for path graph. Finally, a necessary and sufficient condition is proposed for the controllability of star graph by taking advantage of the protocol of second-order neighbours.
Funder
National Natural Science Foundation of China
Science Foundation of Shandong Province for Distinguished Young Scholars
Publisher
Oxford University Press (OUP)
Subject
Applied Mathematics,Control and Optimization,Control and Systems Engineering
Cited by
22 articles.
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