Network structure preserving model reduction with weak a priori structural information
2009 (English)In: 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009, 2009, 3256-3263 p.Conference paper (Refereed)
This paper extends a state projection method for structure preserving model reduction to situations where only a weaker notion of system structure is available. This weaker notion of structure, identifying the causal relationship between manifest variables of the system, is especially relevant is settings such as systems biology, where a clear partition of state variables into distinct subsystems may be unknown, or not even exist. The resulting technique, like similar approaches, does not provide theoretical performance guarantees, so an extensive computational study is conducted, and it is observed to work fairly well in practice. Moreover, conditions characterizing structurally minimal realizations and sufficient conditions characterizing edge loss resulting from the reduction process, are presented.
Place, publisher, year, edition, pages
2009. 3256-3263 p.
causal relationship;edge loss characterization;network structure preserving model reduction;state projection method;system structure;modelling;
IdentifiersURN: urn:nbn:se:kth:diva-74453DOI: 10.1109/CDC.2009.5400375ScopusID: 2-s2.0-77950840617OAI: oai:DiVA.org:kth-74453DiVA: diva2:489660
48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. Shanghai. 15 December 2009 - 18 December 2009
QC 201202072012-02-032012-02-032012-02-07Bibliographically approved