Checking Structural Stability of BDC-Decomposable Systems via Convex Optimisation

Bianchini, Franco; Chesi, Graziano; Colaneri, Patrizio; Giordano, G.

doi:10.1109/LCSYS.2019.2922413

Checking Structural Stability of BDC-Decomposable Systems via Convex Optimisation

Journal article (2020)

Authors

Franco Bianchini Università degli Studi di Udine

Graziano Chesi The University of Hong Kong

Patrizio Colaneri Politecnico di Milano

G. Giordano Team Tamas Keviczky

Research Group

Team Tamas Keviczky

DOI: https://doi.org/10.1109/LCSYS.2019.2922413

Systems biology Convex optimisation BDC-decomposition Biomolecular systems Structural stability

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Published Date

2020

Language

English

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Research Group

Team Tamas Keviczky

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.

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