Using permuted graph bases in H∞ control

We present a new numerical method (based on the computation of deflating subspaces) for the γ-iteration in H∞ control in the extended matrix pencil formulation. We introduce a permuted graph representation of these subspaces, which avoids the known difficulties that arise when the iteration is based...

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Veröffentlicht in:	Automatica (Oxford) 2013-06, Vol.49 (6), p.1790-1797
Hauptverfasser:	Mehrmann, Volker, Poloni, Federico
Format:	Artikel
Sprache:	eng
Schlagworte:	Adaptative systems Algebra Algebraic Riccati equations Applied sciences Computer science control theory systems Control theory. Systems Exact sciences and technology Inverse-free algorithms Linear and multilinear algebra, matrix theory Mathematics Matrix sign iteration Numerical algorithms Robust control Sciences and techniques of general use
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