Schur stability of uncertain matrices
Kemin Zhou, Jakob Stoustrup, Henrik Niemann · 2005
The authors consider the stability of uncertain matrices. It is shown that under certain structural assumptions on the uncertain matrices the Schur stability can be assured from computing the numerical radius of the vertex matrices. This result is less conservative than that of using a simultaneous Lyapunov function method. Necessary and sufficient conditions are also obtained for the stability of a class of interval matrices.>