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- Publisher Website: 10.1109/LCSYS.2019.2922413
- Scopus: eid_2-s2.0-85068211106
- WOS: WOS:000619281800035
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Article: Checking structural stability of BDC-decomposable systems via convex optimisation
Title | Checking structural stability of BDC-decomposable systems via convex optimisation |
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Authors | |
Keywords | BDC-decomposition Biomolecular systems Convex optimisation Structural stability Systems biology |
Issue Date | 2020 |
Publisher | Institute 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? |
Abstract | In 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 Identifier | http://hdl.handle.net/10722/284558 |
ISSN | 2023 Impact Factor: 2.4 2023 SCImago Journal Rankings: 1.597 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Blanchini, F | - |
dc.contributor.author | Chesi, G | - |
dc.contributor.author | Colaneri, P | - |
dc.contributor.author | Giordano, G | - |
dc.date.accessioned | 2020-08-07T08:59:20Z | - |
dc.date.available | 2020-08-07T08:59:20Z | - |
dc.date.issued | 2020 | - |
dc.identifier.citation | IEEE Control Systems Letters, 2020, v. 4 n. 1, p. 205-210 | - |
dc.identifier.issn | 2475-1456 | - |
dc.identifier.uri | http://hdl.handle.net/10722/284558 | - |
dc.description.abstract | In 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.language | eng | - |
dc.publisher | Institute of Electrical and Electronics Engineers. The Journal's web site is located at https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=7782633 | - |
dc.relation.ispartof | IEEE Control Systems Letters | - |
dc.subject | BDC-decomposition | - |
dc.subject | Biomolecular systems | - |
dc.subject | Convex optimisation | - |
dc.subject | Structural stability | - |
dc.subject | Systems biology | - |
dc.title | Checking structural stability of BDC-decomposable systems via convex optimisation | - |
dc.type | Article | - |
dc.identifier.email | Chesi, G: chesi@eee.hku.hk | - |
dc.identifier.authority | Chesi, G=rp00100 | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1109/LCSYS.2019.2922413 | - |
dc.identifier.scopus | eid_2-s2.0-85068211106 | - |
dc.identifier.hkuros | 312353 | - |
dc.identifier.volume | 4 | - |
dc.identifier.issue | 1 | - |
dc.identifier.spage | 205 | - |
dc.identifier.epage | 210 | - |
dc.identifier.isi | WOS:000619281800035 | - |
dc.publisher.place | United States | - |
dc.identifier.issnl | 2475-1456 | - |