Time Optimal Control of a System Governed by Non-instantaneous Impulsive Differential Equations

被引：23
|
作者：
Wang, JinRong [1 ]
Feckan, Michal [2 ,3 ]
Debbouche, Amar [4 ]
机构：
[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China
[2] Comenius Univ, Fac Math Phys & Informat, Dept Math Anal & Numer Math, Bratislava 84248, Slovakia
[3] Slovak Acad Sci, Math Inst, Stefanikova 49, Bratislava 81473, Slovakia
[4] Guelma Univ, Dept Math, Guelma 24000, Algeria
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2019年 / 182卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Non-instantaneous impulsive differential equations; Time optimal controls; Meyer approximation approach; VARIATIONAL APPROACH; STABILITY;
D O I：
10.1007/s10957-018-1313-6
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
We investigate time optimal control of a system governed by a class of non-instantaneous impulsive differential equations in Banach spaces. We use an appropriate linear transformation technique to transfer the original impulsive system into an approximate one, and then we prove the existence and uniqueness of their mild solutions. Moreover, we show the existence of optimal controls for Meyer problems of the approximate. Further, in order to solve the time optimal control problem for the original system, we construct a sequence of Meyer approximations for which the desired optimal control and optimal time are well derived.
引用
收藏
页码：573 / 587
页数：15
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