Print Email Facebook Twitter Checking Structural Stability of BDC-Decomposable Systems via Convex Optimisation Title Checking Structural Stability of BDC-Decomposable Systems via Convex Optimisation Author Blanchini, Franco (Università degli Studi di Udine) Chesi, Graziano (The University of Hong Kong) Colaneri, Patrizio (Politecnico di Milano) Giordano, G. (TU Delft Team Tamas Keviczky) Date 2020 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. Subject BDC-decompositionbiomolecular systemsconvex optimisationstructural stabilitysystems biology To reference this document use: http://resolver.tudelft.nl/uuid:befc4714-ba8d-4cfd-8129-af8b9056f0bd DOI https://doi.org/10.1109/LCSYS.2019.2922413 ISSN 2475-1456 Source IEEE Control Systems Letters, 4 (1), 205-210 Bibliographical note Accepted Author Manuscript Part of collection Institutional Repository Document type journal article Rights © 2020 Franco Blanchini, Graziano Chesi, Patrizio Colaneri, G. Giordano Files PDF 2020LCSS_BCCG.pdf 458.19 KB Close viewer /islandora/object/uuid:befc4714-ba8d-4cfd-8129-af8b9056f0bd/datastream/OBJ/view