Title :
Normal Form and Control of the Hopf bifurcation
Author :
Verduzco, Fernando ; Alvarez, Joaquin ; Carrillo, Armando
Author_Institution :
Univ. of Sonora, Hermosillo
Abstract :
A new normal form in nonlinear control systems is introduced to control the Hopf bifurcation. Very simple expressions for the so-called stability coefficients of the Hopf bifurcation are obtained through the design of simple control laws.
Keywords :
bifurcation; control system synthesis; nonlinear control systems; stability; Hopf bifurcation control; control law design; nonlinear control system; normal form; stability coefficient; Bifurcation; Cities and towns; Control system analysis; Control systems; Differential equations; Eigenvalues and eigenfunctions; Feedback; Nonlinear control systems; Stability; Taylor series;
Conference_Titel :
American Control Conference, 2007. ACC '07
Conference_Location :
New York, NY
Print_ISBN :
1-4244-0988-8
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2007.4282339
