Checking Structural Stability of BDC-Decomposable Systems via Convex Optimisation

Franco Blanchini, Graziano Chesi, Patrizio Colaneri, Giulia Giordano

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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.

Original languageEnglish
Pages (from-to)205-210
JournalIEEE Control Systems Letters
Volume4
Issue number1
DOIs
Publication statusPublished - 2020

Keywords

  • BDC-decomposition
  • biomolecular systems
  • convex optimisation
  • structural stability
  • systems biology

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