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

页码：37 / 41

页数：5

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