TY - JOUR
T1 - Checking Structural Stability of BDC-Decomposable Systems via Convex Optimisation
AU - Blanchini, Franco
AU - Chesi, Graziano
AU - Colaneri, Patrizio
AU - Giordano, Giulia
N1 - Accepted Author Manuscript
PY - 2020
Y1 - 2020
N2 - 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.
AB - 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.
KW - BDC-decomposition
KW - biomolecular systems
KW - convex optimisation
KW - structural stability
KW - systems biology
UR - http://www.scopus.com/inward/record.url?scp=85068211106&partnerID=8YFLogxK
U2 - 10.1109/LCSYS.2019.2922413
DO - 10.1109/LCSYS.2019.2922413
M3 - Article
AN - SCOPUS:85068211106
SN - 2475-1456
VL - 4
SP - 205
EP - 210
JO - IEEE Control Systems Letters
JF - IEEE Control Systems Letters
IS - 1
ER -