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关于自治微分系统零解的稳定性

Stability Theorems of the Automonous Differential System
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摘要 研究了自治微分系统零解的稳定性及全局渐近稳定性,利用Lyapunov直接方法得到了判定自治微分系统零解稳定、全局渐近稳定及不稳定的一些充分条件,并给出了相关例子. The author investigates the stability and global asymptotic stability of zero-solution of autonomous differential system. Some sufficient conditions about stability, global asymptotic stability and instability of this kind of differential system are obtained. Finally examples are given to illustrate the results.
作者 张志山
出处 《成都大学学报(自然科学版)》 2007年第4期295-297,共3页 Journal of Chengdu University(Natural Science Edition)
关键词 自治微分系统 LYAPUNOV函数 稳定性 autonomous differential system Lyapunov functions stability
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