✦ LIBER ✦

Stability radii of positive discrete-time systems under affine parameter perturbations

✍ Scribed by D. Hinrichsen; N. K. Son

Publisher: John Wiley and Sons
Year: 1998
Tongue: English
Weight: 182 KB
Volume: 8
Category: Article
ISSN: 1049-8923
DOI: 10.1002/(sici)1099-1239(1998110)8:13<1169::aid-rnc381>3.0.co;2-#

No coin nor oath required. For personal study only.

✦ Synopsis

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 -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)R).

📜 SIMILAR VOLUMES

Stabilization of controlled positive dis

Stabilization of controlled positive discrete-time T-S fuzzy systems by state feedback control

✍ Abdellah Benzaouia; Abdelaziz Hmamed; Ahmed EL Hajjaji 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 139 KB 👁 1 views

Stochastic stability and guaranteed cost

Stochastic stability and guaranteed cost control of discrete-time uncertain systems with Markovian jumping parameters

✍ El-Kébir Boukas; Peng Shi 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 126 KB 👁 1 views

In this paper, we first study the problems of robust quadratic mean-square stability and stabilization for a class of uncertain discrete-time linear systems with both Markovian jumping parameters and Frobenius norm-bounded parametric uncertainities. Necessary and sufficient conditions for the above

On the effect of perturbations on the st

On the effect of perturbations on the stability of input–output linearizing controllers for a class of discrete-time nonlinear systems

✍ César Cruz-Hernández; Joaquín Alvarez-Gallegos; Rafael Castro-Linares 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 122 KB 👁 1 views

An analysis of the effect of parameter perturbations on the stability of input-output linearizing controllers for a class of MIMO discrete-time nonlinear systems is presented. A static-state feedback is designed to input-output linearize a system without perturbations, and it is applied to the same