%0 Journal Article
%T The Local Stabilization of a Class of Nonlinear Systems<br>一类非线性系统的局部镇定
%A Dong Yali
%A Qi Yufeng
%A <br>董亚丽
%A 齐玉峰
%J 系统科学与数学
%D 2007
%I 
%X In this paper,the problem of local state feedback stabilization of a class of nonlinear systems is considered.Based on the center manifold theory,a sufficient condition of asymptotical stabilization of a class of nonlinear systems is given,and the control law,which stabilizes the nonlinear systems,is designed.Using the method of Lyapunov function with homogenous derivative,we investigate specially the problem of the stabilization for a class of planar nonlinear systems and a class of nonlinear systems with zero eigenvalue of multiplicity 2,respectively.Some sufficient conditions for stabilization are established,and the control laws are constructed.Some examples are given which show the validity of the results.
%K Nonlinear systems
%K stabilization
%K center manifold
%K Lyapunov function<br>非线性系统
%K 镇定
%K 中心流形
%K Lyapunov函数
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=B35ABE6CE8CD2AFE&yid=A732AF04DDA03BB3&vid=DB817633AA4F79B9&iid=0B39A22176CE99FB&sid=FDC7AF55F77D8CD4&eid=4E6F5C60B72D9B1C&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=9