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Article: Checking structural stability of BDC-decomposable systems via convex optimisation

TitleChecking structural stability of BDC-decomposable systems via convex optimisation
Authors
Blanchini, FChesi, GColaneri, PGiordano, G
KeywordsBDC-decomposition
Biomolecular systems
Convex optimisation
Structural stability
Systems biology
Issue Date2020
PublisherInstitute of Electrical and Electronics Engineers. The Journal's web site is located at https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=7782633
Citation
IEEE Control Systems Letters, 2020, v. 4 n. 1, p. 205-210 How to Cite?
DOI: http://dx.doi.org/10.1109/LCSYS.2019.2922413
AbstractIn this letter we show how the problem of assessing structural local stability of BDC-decomposable systems, left open in recent literature, can be solved via convex optimisation. First we give a simple test, based on a sufficient condition, that requires checking the strict co-positivity of a multivariate polynomial. Then we provide a stronger test, based on a necessary and sufficient condition, which can be numerically implemented via LMI-based convex optimisation. The proposed approach certifies the structural stability of non-trivial systems, including a biological network discussed in the literature.
Persistent Identifierhttp://hdl.handle.net/10722/284558
ISSN
2475-1456
2023 Impact Factor: 2.4
2023 SCImago Journal Rankings: 1.597
ISI Accession Number ID
WOS:000619281800035

 

DC FieldValueLanguage
dc.contributor.authorBlanchini, F-
dc.contributor.authorChesi, G-
dc.contributor.authorColaneri, P-
dc.contributor.authorGiordano, G-
dc.date.accessioned2020-08-07T08:59:20Z-
dc.date.available2020-08-07T08:59:20Z-
dc.date.issued2020-
dc.identifier.citationIEEE Control Systems Letters, 2020, v. 4 n. 1, p. 205-210-
dc.identifier.issn2475-1456-
dc.identifier.urihttp://hdl.handle.net/10722/284558-
dc.description.abstractIn this letter we show how the problem of assessing structural local stability of BDC-decomposable systems, left open in recent literature, can be solved via convex optimisation. First we give a simple test, based on a sufficient condition, that requires checking the strict co-positivity of a multivariate polynomial. Then we provide a stronger test, based on a necessary and sufficient condition, which can be numerically implemented via LMI-based convex optimisation. The proposed approach certifies the structural stability of non-trivial systems, including a biological network discussed in the literature.-
dc.languageeng-
dc.publisherInstitute of Electrical and Electronics Engineers. The Journal's web site is located at https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=7782633-
dc.relation.ispartofIEEE Control Systems Letters-
dc.subjectBDC-decomposition-
dc.subjectBiomolecular systems-
dc.subjectConvex optimisation-
dc.subjectStructural stability-
dc.subjectSystems biology-
dc.titleChecking structural stability of BDC-decomposable systems via convex optimisation-
dc.typeArticle-
dc.identifier.emailChesi, G: chesi@eee.hku.hk-
dc.identifier.authorityChesi, G=rp00100-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1109/LCSYS.2019.2922413-
dc.identifier.scopuseid_2-s2.0-85068211106-
dc.identifier.hkuros312353-
dc.identifier.volume4-
dc.identifier.issue1-
dc.identifier.spage205-
dc.identifier.epage210-
dc.identifier.isiWOS:000619281800035-
dc.publisher.placeUnited States-
dc.identifier.issnl2475-1456-

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