| 一类三阶非线性系统的全局渐近稳定性 |
| |
| 引用本文： | 张丽娟,康惠燕.一类三阶非线性系统的全局渐近稳定性[J].烟台大学学报(自然科学与工程版),2005,18(4):245-249. |
| |
| 作者姓名： | 张丽娟 康惠燕 |
| |
| 作者单位： | 1. 烟台大学,数学与信息科学系,山东烟台,264005
2. 江苏工业学院,信息科学系,江苏常州,213016 |
| |
| 基金项目： | 山东省自然科学基金资助项目(Y002A10) |
| |
| 摘 要： | Lyapunov第二方法在非线性系统的稳定性研究中是十分有效的,然而在非线性系统中Lyapunov函数的构造却没有什么通用的方法.本文运用类比法构造Lyapunov函数,讨论了三阶非线性系统…x g(x¨) f(x,x.)x. cx=0和…x g(x.)x¨ f(x,x.)x. cx=0的稳定性,并给出其零解全局渐近稳定的充分性准则,文末一个简洁的例子说明本文主要结果的有效性.
|
| 关 键 词： | 非线性系统 全局渐近稳定 Lyapunov函数 |
| 文章编号： | 1004-8820（2005）04-0245-05 |
| 收稿时间： | 2005-03-20 |
| 修稿时间： | 2005-03-20 |
Global Asymptotical Stability of a Class of Three-Order Nonlinear System |
| |
| ZHANG Li-juan,KANG Hui-yan.Global Asymptotical Stability of a Class of Three-Order Nonlinear System[J].Journal of Yantai University(Natural Science and Engineering edirion),2005,18(4):245-249. |
| |
| Authors: | ZHANG Li-juan KANG Hui-yan |
| |
| Institution: | 1. Department of Mathematics and Information Science, Yantai University, Yantai 264005, China; 2. Department of Information Science, Jiangsu Polytechnic University, Changzhou 213016, China |
| |
| Abstract: | Liapunov's second method is a very effective one in the study of the stability of nonlinear systems.However,there aren't universal methods in constructing the Lyapunov function of nonlinear system.In this paper,the Lyapunov function by use of comparison method is constructed,and the stability of a class of threeorder nonlinear system x... g() f(x,) cx=0 and x... g() f(x,) cx=0 is discussed,some sufficient conditions of global asymptotical stability of its zero solution have been obtained.In the end of the paper,a concise example is given to illustrate the validity of the main result of this paper. |
| |
| Keywords: | nonlinear system global asymptotical stability Liapunov function |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
