OPTIMAL CONTROL PROBLEM WITH TERMINAL STATE CONSTRAINT ON TIME SCALES

被引：0

作者：

Zhan, Z. D. ^{[2
]}

Wei, W. ^{[1
]}

Li, Y. F. ^{[3
]}

机构：

[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China

[2] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China

[3] Zhejiang Gongshang Univ, Coll Stat & Math, Hangzhou 310018, Peoples R China

来源：

PACIFIC JOURNAL OF OPTIMIZATION | 2012年 / 8卷 / 02期

基金：

美国国家科学基金会;

关键词：

time scales; nonlinear control systems; existence and uniqueness of solutions; existence of optimal control; DYNAMIC EQUATIONS; CALCULUS;

D O I：

暂无

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：

In this paper, we mainly concern with existence of optimal control problem with terminal constraint on time scales. Based on the definitions and propositions of Lebesgue Delta-integral functions and absolutely continuous functions on time scales, a definition of absolutely continuous solution is introduced and new existence and uniqueness results of nonlinear dynamic systems on time scales are established by contraction mapping theorem. Existence results of optimal control problem governed by this kind of system are established. A simple optimal production-inventory model on time scales is discussed in detail.

引用

页码：387 / 404

页数：18

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