On Almost Controllability of Dynamical Complex Networks with Noises
This paper discusses the controllability problem of complex networks. It is shown that almost any weighted complex network with noise on the strength of communication links is controllable in the sense of Kalman controllability. The concept of almost controllability is elaborated by both theoretical...
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| Published in: | Journal of systems science and complexity Vol. 32; no. 4; pp. 1125 - 1139 |
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| Main Authors: | , , , |
| Format: | Journal Article |
| Language: | English |
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Beijing
Academy of Mathematics and Systems Science, Chinese Academy of Sciences
01-08-2019
Springer Nature B.V |
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| Abstract | This paper discusses the controllability problem of complex networks. It is shown that almost any weighted complex network with noise on the strength of communication links is controllable in the sense of Kalman controllability. The concept of almost controllability is elaborated by both theoretical discussions and experimental verifications. |
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| AbstractList | This paper discusses the controllability problem of complex networks. It is shown that almost any weighted complex network with noise on the strength of communication links is controllable in the sense of Kalman controllability. The concept of almost controllability is elaborated by both theoretical discussions and experimental verifications. |
| Author | He, Ming Cai, Ning Wu, Qiuxuan Khan, M. Junaid |
| Author_xml | – sequence: 1 givenname: Ning surname: Cai fullname: Cai, Ning email: caining91@tsinghua.org.cn organization: School of Automation, Beijing University of Posts and Telecommunications, Beijing Engineering Research Center of Post Intelligent Equipment, Postal Scientific Research and Planning Academy, Key Laboratory of China’s Ethnic Languages and Information Technology for Ministry of Education, Northwest Minzu University – sequence: 2 givenname: Ming surname: He fullname: He, Ming organization: Rocket Force University of Engineering, School of Automation, Hangzhou Dianzi University, PN Engineering College, National University of Sciences and Technology – sequence: 3 givenname: Qiuxuan surname: Wu fullname: Wu, Qiuxuan organization: Rocket Force University of Engineering, School of Automation, Hangzhou Dianzi University, PN Engineering College, National University of Sciences and Technology – sequence: 4 givenname: M. Junaid surname: Khan fullname: Khan, M. Junaid organization: Rocket Force University of Engineering, School of Automation, Hangzhou Dianzi University, PN Engineering College, National University of Sciences and Technology |
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| Cites_doi | 10.1109/TAC.2008.919548 10.1126/science.1242063 10.1137/060674909 10.1103/PhysRevLett.110.208701 10.1109/TCNS.2014.2310254 10.1109/TCYB.2016.2549034 10.1103/PhysRevLett.108.218703 10.1016/j.physa.2017.01.053 10.1109/TAC.2014.2335971 10.1007/s12555-015-0142-8 10.1038/ncomms3002 10.1038/nature10011 10.1371/journal.pone.0044459 10.1016/j.physa.2015.05.004 10.1038/ncomms3447 10.1002/rnc.3798 10.1109/ACCESS.2018.2819989 10.1109/ACCESS.2019.2896978 10.1109/ChiCC.2016.7553092 10.1109/TSMC.2018.2852277 10.1155/2017/4978613 10.1155/2018/7831317 |
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| References | Cai, Khan (CR3) 2017; 15 Liu, Slotine, Barabasi (CR15) 2012; 7 Rahmani, Ji, Mesbahi (CR2) 2009; 48 Guan, Ji, Zhang (CR8) 2017; 27 Liu, Chu, Wang (CR5) 2008; 53 Ji, Yu (CR6) 2017; 47 CR4 Tanner (CR1) 2004; 3 Cai (CR18) 2017; 474 Yan, Ren, Lai (CR10) 2012; 108 Yuan, Zhao, Di (CR11) 2013; 4 Cai, Khan (CR24) 2015; 436 Liu, Slotine, Barabasi (CR9) 2011; 473 Feng (CR25) 2008 Pasqualetti, Zampieri, Bullo (CR13) 2014; 1 Xi, Wang, Liu (CR23) 2018; 6 Sun, Motter (CR12) 2013; 110 CR22 CR21 CR20 Tan, Cai, Zhou (CR17) 2019; 7 Kailath (CR19) 1980 Jia, Liu, Csoka (CR14) 2013; 4 Ji, Lin, Yu (CR7) 2015; 60 Ruths, Ruths (CR16) 2014; 21 Z Ji (6273_CR6) 2017; 47 B Liu (6273_CR5) 2008; 53 H G Tanner (6273_CR1) 2004; 3 F Pasqualetti (6273_CR13) 2014; 1 J Sun (6273_CR12) 2013; 110 Y Liu (6273_CR9) 2011; 473 Z Tan (6273_CR17) 2019; 7 Z Yuan (6273_CR11) 2013; 4 Z Ji (6273_CR7) 2015; 60 Y Guan (6273_CR8) 2017; 27 T Jia (6273_CR14) 2013; 4 N Cai (6273_CR24) 2015; 436 B Feng (6273_CR25) 2008 J Ruths (6273_CR16) 2014; 21 T Kailath (6273_CR19) 1980 J Xi (6273_CR23) 2018; 6 N Cai (6273_CR18) 2017; 474 Y Liu (6273_CR15) 2012; 7 N Cai (6273_CR3) 2017; 15 6273_CR4 6273_CR22 6273_CR20 A Rahmani (6273_CR2) 2009; 48 6273_CR21 G Yan (6273_CR10) 2012; 108 |
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| SubjectTerms | Complex Systems Control Controllability Mathematics Mathematics and Statistics Mathematics of Computing Operations Research/Decision Theory Statistics Systems Theory |
| Title | On Almost Controllability of Dynamical Complex Networks with Noises |
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