𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Quadratic stabilizability of linear uncertain systems in convex-bounded domains

✍ Scribed by P.L.D. Peres; J.C. Geromel; J. Bernussou

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
247 KB
Volume
29
Category
Article
ISSN
0005-1098

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, a relationship is derived between quadratic stabilizability of linear systems with convex bounded uncertainty domains and the existence of a positive definite solution to a well defined set of Riccati equations. Both continuous and discrete-time models are investigated. For continuous-time systems, the results reported here are compared with the ones provided in the literature, where norm-bounded uncertainty is considered. A numerical example is included.

πŸ“œ SIMILAR VOLUMES

A convex optimization procedure to compu
A convex optimization procedure to compute β„‹2 and β„‹βˆž norms for uncertain linear systems in polytopic domains
✍ Ricardo C. L. F. Oliveira; Pedro L. D. Peres πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 170 KB

## Abstract In this paper, a convergent numerical procedure to compute ℋ︁~2~ and ℋ︁~∞~ norms of uncertain time‐invariant linear systems in polytopic domains is proposed. The norms are characterized by means of homogeneous polynomially parameter‐dependent Lyapunov functions of arbitrary degree __g__

Blind identifiability of quadratic non-l
Blind identifiability of quadratic non-linear systems in higher-order statistics domain
✍ Hong-Zhou Tan; Zong-Yuan Mao πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 99 KB

Quadratic non-linear systems are widely used in various engineering fields such as signal processing, system filtering, predicting and identification. Some conditions to blindly estimate kernels of any discrete and finite extent quadratic system in the higher-order cumulants domain are introduced in