In this paper we study stability radii of positive linear discrete-time systems under fractional perturbations. It is shown that real and complex stability radii coincide and can be computed by a simple formula. From the obtained results, we apply to derive estimates and computable formulae for the stability radii of positive linear delay systems. Finally, a simple example is given to illustrate the obtained results.
|Number of pages||11|
|Journal||International Journal of Robust and Nonlinear Control|
|Publication status||Published - 25 Jul 2009|
- Fractional perturbation
- Nonnegative matrix
- Positive linear system
- Stability radius