serial: Automatica vol.39, 8 (2003), p. 1479-1485
project(s): GA102/02/0709, GA ČR, ME 496, GA MŠk
keywords: linear systems, state-space method, polynomial methods
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.