DocumentCode
3266357
Title
Controllable or uncontrollable? - a bifurcation approach
Author
Xiao, MingQing ; Kang, Wei
Author_Institution
Dept. of Math., Southern Illinois Univ., Carbondale, IL, USA
Volume
4
fYear
2002
fDate
10-13 Dec. 2002
Firstpage
3901
Abstract
Given a system with an uncontrollable linearization at the origin, we study the controllability of the system at equilibria around the origin. If the uncontrollable mode is nonzero, we prove that the system always have other equilibria around the origin. We also prove that these equilibria are most likely to be linearly controllable. As a result, the system is qualitatively changed if the equilibrium point is changed. Thus, a bifurcation occurs. The analysis and proof given are based on the normal form of nonlinear control systems.
Keywords
bifurcation; feedback; linearisation techniques; nonlinear control systems; stability; bifurcation; equilibrium point; feedback; nonlinear control systems; nonzero mode; normal form; origin equilibria; stabilization; uncontrollable linearization; Bifurcation; Control systems; Controllability; Linear systems; Mathematics; Nonlinear control systems; Nonlinear systems; Radio access networks;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
ISSN
0191-2216
Print_ISBN
0-7803-7516-5
Type
conf
DOI
10.1109/CDC.2002.1184974
Filename
1184974
Link To Document