Détermination de matrice semblable Metzler par optimisation non lisse

Translated title of the contribution: Similar Metzler m otrix determination using non-smooth optimization

Emmanuel Chambon, Laurent Burlion, Pierre Apkarian

Research output: Contribution to journalArticlepeer-review


The theory of interval observers requires the studied system to be cooperative. In the case of non-cooperative systems, the literature proposes to compute a state-coordinate change such that the dynamics is cooperative in the new coordinates. In this paper, a new numerical method is introduced to compute this state-coordinate change. It is based on the reformulation of the problem into a multiple dynamic linear systems stabilization problem. This problem is then solved using an existing nonsmooth technique. Computations and simulations are performed on two examples inspired by the literature.

Translated title of the contributionSimilar Metzler m otrix determination using non-smooth optimization
Original languageFrench
Pages (from-to)75-94
Number of pages20
JournalJournal Europeen des Systemes Automatises
Issue number1-2
StatePublished - 2017
Externally publishedYes

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Industrial and Manufacturing Engineering
  • Electrical and Electronic Engineering


  • Interval observers
  • Multi-model synthesis
  • Nonsmooth optimization


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