THE ASYMPTOTIC-BEHAVIOR OF THE STABILITY RADIUS FOR A SINGULARLY PERTURBED LINEAR-SYSTEM

Authors
DRAGAN V
Citation
V. Dragan, THE ASYMPTOTIC-BEHAVIOR OF THE STABILITY RADIUS FOR A SINGULARLY PERTURBED LINEAR-SYSTEM, International journal of robust and nonlinear control, 8(9), 1998, pp. 817-829
Citations number
17
Categorie Soggetti
Mathematics,"Robotics & Automatic Control",Mathematics,"Engineering, Eletrical & Electronic","Robotics & Automatic Control
Journal title
International journal of robust and nonlinear control → ACNP
ISSN journal
10498923
Volume
8
Issue
9
Year of publication
1998
Pages
817 - 829
Database
ISI
SICI code
1049-8923(1998)8:9<817:TAOTSR>2.0.ZU;2-6
Abstract
In this paper we study the asymptotic behavior of the stability radius of a singularly perturbed system when the small parameter epsilon ten ds to zero. It is proved that for such systems the stability radius te nds to the min(r(1), r(2)), where r(1) is the inverse of the H-infinit y-norm of the reduced slow model and r(2) is the stability radius of t he boundary layer system. (C) 1998 John Wiley & Sons, Ltd.