New asymptotic stability criterions for nonlinear systems in critical cases

被引：0
|
作者：
Liu, XD [1 ]
Fang, B [1 ]
Huang, WH [1 ]
机构：
[1] Harbin Inst Technol, Dept Astronaut Engn & Mech, Harbin 150006, Peoples R China
来源：
NEW TRENDS IN DESIGN OF CONTROL SYSTEMS 1997 | 1998年
关键词：
nonlinear systems; stability analysis; asymptotic stability; Lyapunov methods; stability criterion; modes;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
in this paper, asymptiotic stability of a nonlinear system in critical cases (NSICC) is studied. Two asymptotic stability criterions for NSICC with either a pair of pure imaginary eigenvalues or a simple zero eigenvalue are obtained by means of Lyapunov stability analysis and center manifold reduction technology. The two criterions proposed here mainly have two advantages: (1)the computation concerns only the second order derivatives instead of tedious manipulation of matrix; (2)the representation of the criterions reveals the relationship between the asymptotic stability of a NSICC and the modes of its linearized system.
引用
收藏
页码：37 / 41
页数：5
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