摘要
针对于一般的非自治系统,从定义域的角度拓广了现有的稳定性判定定理,使它们成为文中定理的推论;并给出了几个例子,论述了这些定理的有效性.
The stability of a nonautonomous system is investigated. The result extends some of the famous theorems by giving some sufficient conditions which ensure that the trivial solution of the system is stable. Furthermore, some examples are given to illustrate the application of the theorems.
出处
《华南师范大学学报(自然科学版)》
CAS
2005年第1期36-40,共5页
Journal of South China Normal University(Natural Science Edition)
关键词
稳定性定理
拓广
非自治系统
判定定理
定义域
nonautonomous system
trivial solution
stability
positive-definite function