Article (Scientific journals)
On minimal realisations of dynamical structure functions
Yuan, Ye; Glover, Keith; Goncalves, Jorge
2015In Automatica, 55, p. 159-164
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Keywords :
Network reconstruction; Linear system theory
Abstract :
[en] Motivated by the fact that transfer functions do not contain structural information about networks, dynamical structure functions were introduced to capture causal relationships between measured nodes in networks. From the dynamical structure functions, a) we show that the actual number of hidden states can be larger than the number of hidden states estimated from the corresponding transfer function; b) we can obtain partial information about the true state-space equation, which cannot in general be obtained from the transfer function. Based on these properties, this paper proposes algorithms to find minimal realisations for a given dynamical structure function. This helps to estimate the minimal number of hidden states, to better understand the complexity of the network, and to identify potential targets for new measurements.
Research center :
- Luxembourg Centre for Systems Biomedicine (LCSB): Systems Control (Goncalves Group)
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Yuan, Ye
Glover, Keith
Goncalves, Jorge ;  University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB)
External co-authors :
yes
Language :
English
Title :
On minimal realisations of dynamical structure functions
Publication date :
May 2015
Journal title :
Automatica
ISSN :
0005-1098
Publisher :
Pergamon Press - An Imprint of Elsevier Science, Oxford, United Kingdom
Volume :
55
Pages :
159-164
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBilu :
since 04 March 2015

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