Title :
Stability margin relative to stratified uncertainty space
Author :
Jonckheere, Edmond A. ; Ke, Nainn-Ping
Author_Institution :
Dept. of Electr. Eng. Syst., Univ. of Southern California, Los Angeles, CA, USA
Abstract :
This paper develops a differential topological analysis of robust stability. The uncertainty is assumed to be a cube, viewed as a stratified manifold. The basic fact is that the boundary of the template is an interconnection of images of edges and critical value curves in the sense of the stratified Morse theory
Keywords :
Nyquist diagrams; differential geometry; stability; stability criteria; Nyquist map; critical value curves; differential topology; edge images; robust stability; stratified Morse theory; stratified manifold; stratified uncertainty space; template boundary; Equations; Jacobian matrices; Manifolds; Robust stability; Topology; Uncertainty;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.480281
