Positive polynomial matrices and improved LMI robustness conditions

0411104 - UTIA-B 20030091 RIV GB eng J - Článek v odborném periodiku
Henrion, Didier - Arzelier, D. - Peaucelle, D.
Positive polynomial matrices and improved LMI robustness conditions.
Automatica. Roč. 39, č. 8 (2003), s. 1479-1485. ISSN 0005-1098. E-ISSN 1873-2836
Grant CEP: GA ČR GA102/02/0709; GA MŠMT ME 496
Výzkumný záměr: CEZ:AV0Z1075907
Klíčová slova: linear systems * state-space method * polynomial methods
Kód oboru RIV: BC - Teorie a systémy řízení
Impakt faktor: 1.683, rok: 2003

Recently, several new LMI conditions for stability of linear systems have been proposed, introducing additional slack variables to reduce the gap between conservative convex quadratic stability conditions and intractable non-convex robust stability conditions. In this paper, we show that these improved LMI conditions can be derived with the help of some basic results on positive polynomial matrices.
Trvalý link: http://hdl.handle.net/11104/0131191