Publication:
Normal Forms and Bifurcations of Control Systems

Loading...
Thumbnail Image
Authors
Chang, D.-E.
Kang, W.
Krener, A.J.
Subjects
Normal Form
Control Bifurcation
Fold Control Bifurcation
Transcritical Control Bifurcation
Hopf Control Bifurcation
Advisors
Date of Issue
1986
Date
Publisher
Language
Abstract
We present the quadratic and cubic normal forms of a nonlinear control system around an equilibrium point. These are the normal forms under change of state coordinates and invertible state feedback. The system need not be linearly controllable. A control bifurcation of a nonlinear system occurs when its linear approximation loses stabilizability. We study some important control bifurcations, the analogues of the classical fold, transcritical and Hopf bifurcations.
Type
Article
Description
Research supported in part by AFOSR-49620-95-1-0409 and by NSF 9970998. To be presented at the IEEE CDC 2000, Sydney.
Series/Report No
Department
Mathematics
Other Units
Identifiers
NPS Report Number
Sponsors
Funder
Format
Citation
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
Collections