In this note a s i n p l e forrr?u!a for the real stability radius of uncertain positive linear continuous time systems is established and it is shown that the real stability radius coincides with the complex one. Arbitrary disturbance norms induced by monotonic vector norms (e.g. p n o r m s , 1 < p < co) are considered. The distance of intervals of positive systems from instability is also determined.

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In this paper we study stability radii of positive linear discrete‐time systems under affine parameter perturbations. It is shown that real and complex stability radii of positive systems coincide for arbitrary perturbation structures, in particular, for blockdiagonal disturbances as considered in μ‐analysis. Estimates and computable formulae are derived for these stability radii. The results are derived for arbitrary perturbation norms induced by monotonic vector norms (e.g. p‐norms, 1⩽p⩽∞). © 1998 John Wiley & Sons, Ltd.

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