Rank-one LMI approach to stability of 2-D polynomial matrices

Authors
Henrion, D Sebek, M Bachelier, O
Citation
D. Henrion et al., Rank-one LMI approach to stability of 2-D polynomial matrices, MULTID SYST, 12(1), 2001, pp. 33-48
Citations number
40
Categorie Soggetti
Computer Science & Engineering
Journal title
MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING
ISSN journal
09236082 → ACNP
Volume
12
Issue
1
Year of publication
2001
Pages
33 - 48
Database
ISI
SICI code
0923-6082(200101)12:1<33:RLATSO>2.0.ZU;2-4
Abstract
New necessary and sufficient conditions are formulated for checking stabili ty of a 2-D polynomial matrix. The conditions are expressed as a non-convex rank-one LMI problem derived from a formulation of the stability problem a s a quadratic optimization problem. Sufficient stability conditions express ed as a convex LMI problem are readily derived from this formulation.