Normal forms and bifurcations of control systems

Proceedings of the IEEE Conference on Decision and Control

Volumn 2, Issue , 2000, Pages 1602-1607

  Chang, D E ^a   Kang, W ^b   Krener, A J ^c  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^b NAVAL POSTGRADUATE SCHOOL   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Control bifurcation; Fold control bifurcation; Hopf control bifurcation; Normal form; Transcritical control bifurcation

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; BIFURCATION (MATHEMATICS); NONLINEAR CONTROL SYSTEMS; STATE FEEDBACK; SYSTEM STABILITY;

FOLD CONTROL BIFURCATION; HOPF CONTROL BIFURCATION; NORMAL FORMS; TRANSCRITICAL CONTROL BIFURCATION;

CONTROL SYSTEM ANALYSIS;

EID: 0034439593     PISSN: 01912216     EISSN: None     Source Type: Journal    
DOI: 10.1109/CDC.2000.912090     Document Type: Article

References (8)

1. Local feedback stabilization and bifurcation control, Part I. Hopf bifurcations
2. Local feedback stabilization and bifurcation control, Part II. Stationary bifurcations
3. Quadratic forms and feedback linearization in discrete time
4. Extended quadratic controller normal form and dynamic feedback linearization of nonlinear systems
5. Bifurcation and normal form of nonlinear control systems - Part I and part II
6. Quadratic and cubic normal forms of discrete time nonlinear control systems