Abstract
The main result of this paper is the identification of a class of real systems for which the supremal Hinrichsen-Pritchard complex stability radius is equal to the supremal Hinrichsen-Pritchard real stability radius. For this class (which includes all planar linear systems with non-zero input operator) the remarkable differences, which are known to exist between these two measures of robustness in the absence of control, can be eliminated by state feedback. The respective differences and equivalences are illustrated by examples of single-input uncertain planar control systems.
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