Normal Forms and Bifurcations of Control Systems
kang_normal_forms_1986.pdf (394.7Kb)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.
Description
Research supported in part by AFOSR-49620-95-1-0409 and by NSF 9970998. To be presented
at the IEEE CDC 2000, Sydney.
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
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