Linear impulsive periodic system with time-varying generating operators on banach space

被引：13
|
作者：
Wang, JinRong [1 ]
Xiang, X. [2 ]
Wei, W.
机构：
[1] Guizhou Univ, Dept Comp, Coll Comp Sci & Techol, Guiyang 550025, Guizhou, Peoples R China
[2] Guizhou Univ, Dept Math, Coll Sci, Guiyang 550025, Guizhou, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2007年 / 2007卷 / 1期
关键词：
D O I：
10.1155/2007/26196
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A class of the linear impulsive periodic system with time-varying generating operators on Banach space is considered. By constructing the impulsive evolution operator, the existence of T-0-periodic PC-mild solution for homogeneous linear impulsive periodic system with time-varying generating operators is reduced to the existence of fixed point for a suitable operator. Further the alternative results on T-0-periodic PC-mild solution for nonhomogeneous linear impulsive periodic system with time-varying generating operators are established and the relationship between the boundness of solution and the existence of T-0-periodic PC-mild solution is shown. The impulsive periodic motion controllers that are robust to parameter drift are designed for a given periodic motion. An example is given for demonstration.
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页数：16
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