Title :
Analysis and stabilization of nonlinear systems with a zero-Hopf control bifurcation
Author :
Hamzi, Boumediene
Author_Institution :
Inst. Nat. de Recherche en Inf. et Autom., Le Chesnay, France
Abstract :
In this paper we analyze the systems with zero-Hopf control bifurcation using normal forms and center manifold techniques. After classifying equilibrium sets and finding sufficient stabilizability conditions, we synthesize an asymptotically stabilizing quadratic feedback.
Keywords :
asymptotic stability; bifurcation; feedback; nonlinear systems; asymptotic stability; center manifold techniques; equilibrium sets; nonlinear systems; normal forms; quadratic feedback; stabilization; sufficient stabilizability condition; zero Hopf control bifurcation; Bifurcation; Control system synthesis; Control systems; Eigenvalues and eigenfunctions; Feedback control; Input variables; Linear feedback control systems; Mathematics; Nonlinear control systems; Nonlinear systems;
Conference_Titel :
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
Print_ISBN :
0-7803-7516-5
DOI :
10.1109/CDC.2002.1184976
