In this paper we study the stability radii of positive linear discrete system under fractional perturbations in infinite dimensional spaces. It is shown that complex, real, and positive stability radii of positive systems coincide. More importantly, computable formulas of these stability radii are also derived. The results are then illustrated by a simple example. The results obtained in our paper are extensions of the recent works in [3, 8].
|Number of pages||13|
|Journal||Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis|
|Publication status||Published - 2011|
- positive difference equations
- fractional perturbations
- stability radius