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Journal Article

Positive polynomial matrices and improved LMI robustness conditions

Henrion Didier, Arzelier D., Peaucelle D.

: Automatica vol.39, 8 (2003), p. 1479-1485

: CEZ:AV0Z1075907

: GA102/02/0709, GA ČR, ME 496, GA MŠk

: linear systems, state-space method, polynomial methods

(eng): 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.

: 09I

: BC