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
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;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.649650
