摘要
通过定义两类Ｌｉａｐｕｎｏｖ函数，推广了ＸｉｎｚｈｉＬｉｕ［１］的结果，弱化了Ｗ－函数对集合Ｅ的正定性要求，并具体给出集合Ｅ的形式，进而将之应用于扰动系统。
In this paper, by defining two kinds of Liapunov functions,and extending the Xinzhi Liu′s results,we obtain the results without the W function to be positive definite with respect to some closed set E, and get the expression of set E. Finally, its application to the perturbed system confirms this paper′s results.
