DocumentCode
1924977
Title
Robustness of nonlinear systems subject to time-varying perturbations
Author
Paice, A.D.B. ; Wirth, F.R.
Author_Institution
Inst. fur Dynamische Syst., Bremen Univ., Germany
Volume
5
fYear
1997
fDate
10-12 Dec 1997
Firstpage
4436
Abstract
We introduce time-varying stability for nonlinear systems. Using linearization techniques and spectral theory for time-varying linear systems it is shown that the nonlinear stability radius is bounded by two linear stability radii. The set of matrices for which these two stability radii differ has measure zero. At the moment it is not known, whether this set is open. For extended stability radii with respect to different guaranteed exponential growth rates similar results are obtained
Keywords
linearisation techniques; nonlinear control systems; robust control; time-varying systems; extended stability radii; guaranteed exponential growth rates; linear stability radii; linearization techniques; nonlinear stability radius; nonlinear systems; robustness; spectral theory; time-varying linear systems; time-varying perturbations; Geometry; Linear systems; Nonlinear systems; Robust stability; Robustness; State-space methods; Time varying systems; Upper bound;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location
San Diego, CA
ISSN
0191-2216
Print_ISBN
0-7803-4187-2
Type
conf
DOI
10.1109/CDC.1997.649650
Filename
649650
Link To Document