DocumentCode
3507508
Title
Linear feedback stabilization of bifurcations and critical nonlinear systems
Author
Fu, Jyun-Horng ; Abed, Eyad H.
Author_Institution
Dept. of Math. & Stat., Wright State Univ., Dayton, OH, USA
fYear
1989
fDate
13-15 Dec 1989
Firstpage
1363
Abstract
The efficacy of linear feedback in the stabilization of stationary and Hopf bifurcations, and, concurrently, of critical nonlinear systems, is considered. For simplicity, this presentation focuses on the linear analytic case. Through a sign requirement on associated bifurcation coefficients, sufficient conditions are obtained for the existence of stabilizing linear feedbacks. The analysis also facilitates construction of classes of stabilizing linear feedback control laws
Keywords
control system analysis; feedback; nonlinear systems; stability; Hopf; bifurcations; critical nonlinear systems; linear feedback; linear feedback control; stability; stabilization; sufficient conditions; Bifurcation; Eigenvalues and eigenfunctions; Feedback control; Linear systems; Mathematics; Nonlinear systems; State feedback; Statistics; Sufficient conditions; Taylor series;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
Conference_Location
Tampa, FL
Type
conf
DOI
10.1109/CDC.1989.70362
Filename
70362
Link To Document