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Bifurcation and normal form of nonlinear control systems, part I

被引：118
作者：
Kang, W [1 ]
机构：
[1] USN, Postgrad Sch, Dept Math, Monterey, CA 93943 USA
来源：
SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1998年 / 36卷 / 01期
关键词：
nonlinear systems; bifurcations; normal forms; invariants; linearly controllable; stabilizable;
D O I：
10.1137/S0363012995290288
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 [计算机科学与技术];
摘要：
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.
引用
收藏
页码：193 / 212
页数：20
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