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Normal Forms and Bifurcations of Control Systems

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Author
Chang, D.-E.
Kang, W.
Krener, A.J.
Date
1986
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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.
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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.
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https://hdl.handle.net/10945/40355
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