Positive polynomial matrices and improved LMI robustness conditions

0410854 - UTIA-B 20020068 RIV GB eng C - Konferenční příspěvek (zahraniční konf.)
Henrion, Didier - Arzelier, D. - Peaucelle, D.
Positive polynomial matrices and improved LMI robustness conditions.
Oxford: Pergamon, 2002. In: Preprints of the 15th Triennial World Congress of the IFAC. - (Camacho, E.; Basanez, L.; de la Puente, J.)
[Trienial World Congress of the IFAC /15./. Barcelona (ES), 21.07.2002-26.07.2002]
Grant CEP: GA AV ČR KSK1019101; GA MŠMT ME 427
Výzkumný záměr: CEZ:AV0Z1075907
Klíčová slova: linear systems * robustness * LMI
Kód oboru RIV: BC - Teorie a systémy řízení

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, providing a clear interpretation of the role of the additional variables.
Trvalý link: http://hdl.handle.net/11104/0130941