MINIMAX OPTIMAL-CONTROL PROBLEM

被引：17

作者：

HOLMAKER, K ^{[1
]}

机构：

[1] GOTHENBURG UNIV,S-41345 GOTHENBURG,SWEDEN

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1979年 / 28卷 / 03期

关键词：

maximum principle; minimax problems; necessary conditions; Optimal control;

D O I：

10.1007/BF00933382

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：

A control system x=f(t,x,u) is considered, and a cost functional ess sup T0≤t≤T1G(t, x(t), u(t)) is to be minimized. Necessary conditions for optimality (maximum principle and transversality conditions) are derived. It is also shown that an optimal control is optimal for the corresponding problem on a subinterval of [T0, T1], if a certain controllability condition is satisfied. © 1979 Plenum Publishing Corporation.

引用

页码：391 / 410

页数：20

共 8 条

[1] PONTRYAGINS MAXIMUM PRINCIPLE AND A MINIMAX PROBLEM [J].

ARONSSON, G .

MATHEMATICA SCANDINAVICA, 1971, 29 (01) :55-+

[2]

Berkovitz L.D., 2013, NONLINEAR OPTIMAL CO, DOI [10.1002/9783527639700.ch5, DOI 10.1007/978-1-4757-6097-2]

[3]

CASTAING C, 1967, REV FR INFORM RECH O, V1, P91

[4]

HALKIN H, 1966, OPTIMAL CONTROL PROG

[5]

Himmelberg CJ., 1975, FUND MATH, V87, P53

[6]

LEE EB, 1967, F OPTIMAL CONTROL TH

[7]

Neustadt L., 1976, OPTIMIZATION THEORY

[8]

Warga J., 1972, OPTIMAL CONTROL DIFF

← 1 →