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Mathematical relationships between representations of structure in linear interconnected dynamical systems
KTH, School of Electrical Engineering (EES), Automatic Control.ORCID iD: 0000-0003-1835-2963
2011 (English)In: 2011 AMERICAN CONTROL CONFERENCE, 2011, 4348-4353 p.Conference paper, Published paper (Refereed)
Abstract [en]

A dynamical system can exhibit structure on multiple levels. Different system representations can capture different elements of a dynamical system’s structure. We consider LTI input-output dynamical systems and present four representations of structure: complete computational structure, subsystem structure, signal structure, and input output sparsity structure. We then explore some of the mathematical relation ships that relate these different representations of structure. In particular, we show that signal and subsystem structure are fundamentally different ways of representing system structure. A signal structure does not always specify a unique subsystem structure nor does subsystem structure always specify a unique signal structure. We illustrate these concepts with a numerical example.

Place, publisher, year, edition, pages
2011. 4348-4353 p.
Series
Proceedings of the American Control Conference, ISSN 0743-1619
Keyword [en]
LTI input-output dynamical systems;computational structure;input output sparsity structure;linear interconnected dynamical systems;mathematical relationships;signal structure;structure representations;subsystem structure;control system analysis;interconnected systems;linear systems;time-varying systems;
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-74448ISI: 000295376005044Scopus ID: 2-s2.0-80053162750OAI: oai:DiVA.org:kth-74448DiVA: diva2:489662
Conference
American Control Conference (ACC). San Fransisco, CA. JUN 29-JUL 01, 2011
Note
QC 20120207Available from: 2012-02-03 Created: 2012-02-03 Last updated: 2012-02-07Bibliographically approved

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Sandberg, Henrik

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