CUED Publications database

Dynamical structure function identifiability conditions enabling signal structure reconstruction

Adebayo, J and Southwick, T and Chetty, V and Yeung, E and Yuan, Y and Goncalves, J and Grose, J and Prince, J and Stan, GB and Warnick, S (2012) Dynamical structure function identifiability conditions enabling signal structure reconstruction. Proceedings of the IEEE Conference on Decision and Control. pp. 4635-4641. ISSN 0191-2216

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Abstract

Networks of controlled dynamical systems exhibit a variety of interconnection patterns that could be interpreted as the structure of the system. One such interpretation of system structure is a system's signal structure, characterized as the open-loop causal dependencies among manifest variables and represented by its dynamical structure function. Although this notion of structure is among the weakest available, previous work has shown that if no a priori structural information is known about the system, not even the Boolean structure of the dynamical structure function is identifiable. Consequently, one method previously suggested for obtaining the necessary a priori structural information is to leverage knowledge about target specificity of the controlled inputs. This work extends these results to demonstrate precisely the a priori structural information that is both necessary and sufficient to reconstruct the network from input-output data. This extension is important because it significantly broadens the applicability of the identifiability conditions, enabling the design of network reconstruction experiments that were previously impossible due to practical constraints on the types of actuation mechanisms available to the engineer or scientist. The work is motivated by the proteomics problem of reconstructing the Per-Arnt-Sim Kinase pathway used in the metabolism of sugars. © 2012 IEEE.

Item Type: Article
Subjects: UNSPECIFIED
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 07 Mar 2014 11:45
Last Modified: 16 Dec 2014 19:07
DOI: 10.1109/CDC.2012.6426183