Abstract
In this paper, we study the stability radii of positive linear systems with delays with respect to various classes of perturbations in infinite dimensional spaces. It is shown that the positive, real and complex stability radii coincide. Moreover, explicit formulas are derived for these stability radii and illustrated by a simple example.
Original language | English |
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Pages (from-to) | 1447-1461 |
Number of pages | 15 |
Journal | Journal of Difference Equations and Applications |
Volume | 16 |
Issue number | 12 |
DOIs | |
Publication status | Published - Dec 2010 |
Externally published | Yes |
Keywords
- Affine parameter perturbation
- Banach lattice
- Positive difference system
- Positive operator
- Stability radius