Robust H² performance of uncertain descriptor system

This paper considers the robust H 2 performance of a continuous-time descriptor system with norm bounded uncertainty. We derive an upper bound of the H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</inf> performance of such a descriptor system based on the generalized Lyapunov theorem and a linear matrix inequality. The proposed performance bound is also compared with the one for a state-space system.