On the Structural and Strong Structural Controllability of Undirected Networks

被引：92

作者：

Mousavi, Shima Sadat ^{[1
]}

Haeri, Mohammad ^{[1
]}

Mesbahi, Mehran ^{[2
]}

机构：

[1] Sharif Univ Technol, Dept Elect Engn, Tehran 111554363, Iran

[2] Univ Washington, Dept Aeronaut & Astronaut, Seattle, WA 98195 USA

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2018年 / 63卷 / 07期

关键词：

Balancing sets; generalized zero forcing sets (GZFSs); strong structural controllability; structural controllability; undirected networks; zero forcing sets (ZFSs); COMPLEX NETWORKS; LINEAR-SYSTEMS; SUBSPACES; GRAPHS;

D O I：

10.1109/TAC.2017.2762620

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Characterization of network controllability through its topology has recently gained a lot of attention in the systems and control community. Using the notion of balancing sets, in this note, such a network-centric approach for the controllability of certain families of undirected networks is investigated. Moreover, by introducing the notion of a generalized zero forcing set, the structural controllability of undirected networks is discussed; in this direction, lower bounds on the dimension of the controllable sub-space are derived. In addition, a method is proposed that facilitates synthesis of structural and strong structural controllable networks as well as examining preservation of network controllability under structural perturbations.

引用

页码：2234 / 2241

页数：8

共 40 条

[1]

[Anonymous], 2013, Mathematical control theory: deterministic finite dimensional systems

[2]

[Anonymous], 1988, MULTIVARIABLE CONTRO

[3]

[Anonymous], 2014, Matrix analysis

[4] Zero forcing sets and the minimum rank of graphs [J].

Barioli, Francesco ;

Barrett, Wayne ;

Butler, Steve ;

Cioaba, Sebastian M. ;

Cvetkovic, Dragos ;

Fallat, Shaun M. ;

Godsil, Chris ;

Haemers, Willem ;

Hogben, Leslie ;

Mikkelson, Rana ;

Narayan, Sivaram ;

Pryporova, Olga ;

Sciriha, Irene ;

So, Wasin ;

Stevanovic, Dragan ;

van der Holst, Hein ;

Vander Meulen, Kevin N. ;

Wehe, Amy Wangsness .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2008, 428 (07) :1628-1648

[5]

Biyikoglu T., 2007, LECT NOTES MATH

[6]

Chapman A, 2013, P AMER CONTR CONF, P6126

[7] STRUCTURALLY CONTROLLABLE AND STRUCTURALLY CANONICAL SYSTEMS [J].

CORFMAT, JP ;

MORSE, AS .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1976, 21 (01) :129-131

[8] Interacting with Networks HOW DOES STRUCTURE RELATE TO CONTROLLABILITY IN SINGLE-LEADER, CONSENSUS NETWORKS? [J].

Egerstedt, Magnus ;

Martini, Simone ;

Cao, Ming ;

Camlibel, Kanat ;

Bicchi, Antonio .

IEEE CONTROL SYSTEMS MAGAZINE, 2012, 32 (04) :66-73

[9]

Jarczyk JC, 2011, IEEE DECIS CONTR P, P1213, DOI 10.1109/CDC.2011.6160392

[10]

Ji ZJ, 2016, CHIN CONTR CONF, P7578, DOI 10.1109/ChiCC.2016.7554558

← 1 2 3 4 →