摘要
本文利用 Liapunov 函数方法和论证系统正半轨线有界的 Shimanov区域方法,给出了两类非线性系统的零解为全局稳定的充分条件,并讨论了一些低阶实例,得到了较好的结果.
By using the methods of Liapunov function and Shimanov region for proving the boundedness of the system's semi-positive curves,some suffici- ent conditions are obtained in this paper for the global stability of the equilibria of two classes of nonlinear systems.Then some systems of lower order are studied in detail and better results are obtained.
出处
《应用数学》
CSCD
北大核心
1990年第3期44-51,共8页
Mathematica Applicata
关键词
非线性系统
全局稳定性
低阶系统
Nonlinear system
Global stabitity
Lower order system
