Quantitative Controllability Index of Complex Networks
Joint Authors
Wang, Lifu
Zhang, Yali
Han, Jingxiao
Kong, Zhi
Source
Advances in Mathematical Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-10-22
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
In this paper, the controllability issue of complex network is discussed.
A new quantitative index using knowledge of control centrality and condition number is constructed to measure the controllability of given networks.
For complex networks with different controllable subspace dimensions, their controllability is mainly determined by the control centrality factor.
For the complex networks that have the equal controllable subspace dimension, their different controllability is mostly determined by the condition number of subnetworks’ controllability matrix.
Then the effect of this index is analyzed based on simulations on various types of network topologies, such as ER random network, WS small-world network, and BA scale-free network.
The results show that the presented index could reflect the holistic controllability of complex networks.
Such an endeavour could help us better understand the relationship between controllability and network topology.
American Psychological Association (APA)
Wang, Lifu& Zhang, Yali& Han, Jingxiao& Kong, Zhi. 2018. Quantitative Controllability Index of Complex Networks. Advances in Mathematical Physics،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1119105
Modern Language Association (MLA)
Wang, Lifu…[et al.]. Quantitative Controllability Index of Complex Networks. Advances in Mathematical Physics No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1119105
American Medical Association (AMA)
Wang, Lifu& Zhang, Yali& Han, Jingxiao& Kong, Zhi. Quantitative Controllability Index of Complex Networks. Advances in Mathematical Physics. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1119105
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119105