Premium
The asymptotic behavior of the stability radius for a singularly perturbed linear system
Author(s) -
Dragan V.
Publication year - 1998
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/(sici)1099-1239(19980730)8:9<817::aid-rnc348>3.0.co;2-6
Subject(s) - radius , stability (learning theory) , norm (philosophy) , mathematics , exponential stability , boundary (topology) , inverse , singular perturbation , linear stability , mathematical analysis , control theory (sociology) , physics , nonlinear system , instability , mechanics , geometry , computer science , law , computer security , control (management) , quantum mechanics , machine learning , artificial intelligence , political science
In this paper we study the asymptotic behavior of the stability radius of a singularly perturbed system when the small parameter ε tends to zero. It is proved that for such systems the stability radius tends to the min( r 1 , r 2 ), where r 1 is the inverse of the H ∞ ‐norm of the reduced slow model and r 2 is the stability radius of the boundary layer system. © 1998 John Wiley & Sons, Ltd.