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Stability radii of positive discrete-time systems under affine parameter perturbations. (English) Zbl 0918.93036

The stability radius of positive linear discrete-time systems with linear perturbations is considered. It is proved that real and complex stability radii are the same for block diagonal perturbations. The new results are illustrated by simple second order examples.

MSC:

93D09 Robust stability
93C55 Discrete-time control/observation systems
93B35 Sensitivity (robustness)
93C73 Perturbations in control/observation systems
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