Bifurcation and Normal Form of Nonlinear Control Systems, Part I
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Authors
Kang, Wei
Subjects
nonlinear systems
bifurcations
normal forms
invariants
linearly controllable
stabilizable
bifurcations
normal forms
invariants
linearly controllable
stabilizable
Advisors
Date of Issue
1998-01
Date
Publisher
Society for Industrial and Applied Mathematics
Language
Abstract
The bifurcations of control systems with a single input are studied. Based on the normal forms of control systems, the equilibrium sets are classified. A set of quadratic invariants for control systems is found. Sufficient conditions for a system to be linearly controllable or stabilizable near a bifurcation point are given in terms of the quadratic invariants.
Type
Article
Description
Series/Report No
Department
Mathematics
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Funder
AFOSR-95-1-0169
Format
20 p.
Citation
Kang, Wei. "Bifurcation and normal form of nonlinear control systems, Part I." SIAM Journal on Control and Optimization36.1 (1998): 193-212.
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.