Characterizing Network Controllability and Observability for Abstractions and Realizations of Dynamic Networks

被引:0
作者
Johnson, Charles A. [1 ]
Warnick, Sean [1 ]
机构
[1] Brigham Young Univ, Comp Sci Dept, Informat & Descis Algorithms Labs, Provo, UT 84602 USA
关键词
Structural Controllability; Model Reduction; Dynamic Networks; IDENTIFICATION; IDENTIFIABILITY; RECONSTRUCTION; SYSTEMS;
D O I
10.1016/j.ifacol.2020.12.019
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
One method for managing the complexity of a dynamic network is to abstract some of this complexity away by using a simpler, yet behaviorally equivalent, mathematical model. A theory for such abstractions is currently under development (cf. Kivits and Van den Hof (2018) as well as Woodbury and Warnick (2019)). While recent work has considered concepts of controllability and observability for networked dynamic systems (cf. Xiang et al. (2019) and Liu and Barabasi (2016)), this paper analyzes these concepts for abstractions of dynamic networks. In particular, we present the notion of a complete abstraction and an extraneous realization of a dynamic network and show that these concepts characterize the controllability and observability properties of a class of abstractions of dynamic networks. Copyright (C) 2020 The Authors.
引用
收藏
页码:10987 / 10993
页数:7
相关论文
共 35 条
[1]  
Adebayo J, 2012, IEEE DECIS CONTR P, P4635, DOI 10.1109/CDC.2012.6426183
[2]  
Chetty V., 2014, C DES CONTR LOS ANG
[3]  
Chetty V., 2013, C DEC CONTR FLOR IT
[4]  
Chetty V, 2017, IEEE DECIS CONTR P, DOI 10.1109/CDC.2017.8264534
[5]   Nodal Dynamics, Not Degree Distributions, Determine the Structural Controllability of Complex Networks [J].
Cowan, Noah J. ;
Chastain, Erick J. ;
Vilhena, Daril A. ;
Freudenberg, James S. ;
Bergstrom, Carl T. .
PLOS ONE, 2012, 7 (06)
[6]  
Gonçalves J, 2008, IEEE T AUTOMAT CONTR, V53, P1670, DOI 10.1109/TAC.2008.928114
[7]  
Grimsman D., 2016, AM CONTR C BOST MA
[8]   Power systems as dynamic networks [J].
Hill, David J. ;
Chen, Guanrong .
2006 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOLS 1-11, PROCEEDINGS, 2006, :722-725
[9]  
Johnson Charles A., 2020, GRAPH THEORETIC FDN
[10]   On Representations of Linear Dynamic Networks [J].
Kivits, E. M. M. ;
Van den Hof, Paul M. J. .
IFAC PAPERSONLINE, 2018, 51 (15) :838-843