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Henrion, Didier; Arzelier, Denis; Peaucelle, Dimitri

Positive polynomial matrices and improved LMI robustness conditions. (English) Zbl 1037.93027

Automatica 39, No. 8, 1479-1485 (2003).
From the paper’s conclusion: “We have proposed a new approach to derive improved LMI robustness conditions, narrowing the gap between conservative convex quadratic stability conditions and intractable non-convex robust stability conditions. The approach is general enough to treat in a unifying way continuous-time and discrete-time systems in the state-space and polynomial frameworks. It is based on the theory of positive polynomial matrices:…the approach proposed in this paper is also interesting from the numerical point of view.”
This paper is very interesting, carefully written, and has a most useful list of references.
Reviewer: Johannes W. Nieuwenhuis (Groningen)

Cited in 13 Documents

MSC:

93B40 Computational methods in systems theory (MSC2010)
15A39 Linear inequalities of matrices
93B35 Sensitivity (robustness)
93D09 Robust stability

Keywords:

linear systems; robustness; linear matrix inequalities LMI; state-space methods; polynomial methods; positive polynomial matrices

Software:

SeDuMi; Polynomial Toolbox
PDF BibTeX XML Cite
\textit{D. Henrion} et al., Automatica 39, No. 8, 1479--1485 (2003; Zbl 1037.93027)
Full Text: DOI

References:

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