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Minimum-cost control of complex networks
by
Li, Guoqi
, Deng, Lei
, Hu, Wuhua
, Xiao, Gaoxi
, Pei, Jing
, Tang, Pei
, Shi, Luping
in
complex networks
/ Complexity
/ Controllability
/ Cost control
/ Energy costs
/ Minimum cost
/ minimum energy cost
/ Networks
/ Nodes
/ Physics
/ projected gradient method
/ Stability
2016
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Minimum-cost control of complex networks
by
Li, Guoqi
, Deng, Lei
, Hu, Wuhua
, Xiao, Gaoxi
, Pei, Jing
, Tang, Pei
, Shi, Luping
in
complex networks
/ Complexity
/ Controllability
/ Cost control
/ Energy costs
/ Minimum cost
/ minimum energy cost
/ Networks
/ Nodes
/ Physics
/ projected gradient method
/ Stability
2016
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Do you wish to request the book?
Minimum-cost control of complex networks
by
Li, Guoqi
, Deng, Lei
, Hu, Wuhua
, Xiao, Gaoxi
, Pei, Jing
, Tang, Pei
, Shi, Luping
in
complex networks
/ Complexity
/ Controllability
/ Cost control
/ Energy costs
/ Minimum cost
/ minimum energy cost
/ Networks
/ Nodes
/ Physics
/ projected gradient method
/ Stability
2016
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Journal Article
Minimum-cost control of complex networks
2016
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Overview
Finding the solution for driving a complex network at the minimum energy cost with a given number of controllers, known as the minimum-cost control problem, is critically important but remains largely open. We propose a projected gradient method to tackle this problem, which works efficiently in both synthetic and real-life networks. The study is then extended to the case where each controller can only be connected to a single network node to have the lowest connection complexity. We obtain the interesting insight that such connections basically avoid high-degree nodes of the network, which is in resonance with recent observations on controllability of complex networks. Our results provide the first technical path to enabling minimum-cost control of complex networks, and contribute new insights to locating the key nodes from a minimum-cost control perspective.
Publisher
IOP Publishing
Subject
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