Linear interval systems: "optimal" stability margin

Giuseppe Franzè · Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228) · 2002

By means of elementary unitary transformations and Gershgoring's theorem, new sufficient conditions for the stability of interval matrices are proposed. Moreover, this paper presents a schematic algorithm for computing the stability margin of an interval system involving an optimization step, where the objective function is the spectral condition number of the nominal eigenvector matrix.

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