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Paper details
Number 2 - June 1998
Volume 8 - 1998
μ-Analysis and robust stability of positive linear systems
Diederich Hinrichsen, Nguyen K. Son
Abstract
In this paper, we develop a μ-analysis for nonnegative matrices and apply the results to analyse robust stability of positive linear continuous-time systems under arbitrary affine parameter perturbations. It is shown that real and complex
stability radii of positive systems coincide for arbitrary affine perturbation structures, in particular for block-diagonal disturbances. Estimates and computable formulae are derived for these stability radii. The results hold for arbitrary perturbation norms induced by absolute vector norms (e.g. p-norms, 1 ≤ p ≤ ∞).
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