节点文献
关于稳定性定理的拓广
SOME NEW THEOREMS ON STABILITY
【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.
【Abstract】 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.
【关键词】 非自治系统;
平凡解;
稳定性;
正定函数;
【Key words】 nonautonomous system; trivial solution; stability; positive-definite function;
【Key words】 nonautonomous system; trivial solution; stability; positive-definite function;
- 【文献出处】 华南师范大学学报(自然科学版) ,Journal of South China Normal University(Natural Science) , 编辑部邮箱 ,2005年01期
- 【分类号】O175.1
- 【下载频次】65