DYNAMIC-PROGRAMMING AND MAXIMUM PRINCIPLE FOR DISCRETE GOURSAT SYSTEMS

被引：12

作者：

BELBAS, SA

机构：

[1] The University of Alabama, Department of Mathematics, Tuscaloosa

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1991年 / 161卷 / 01期

关键词：

D O I：

10.1016/0022-247X(91)90362-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain the dynamic programming equations for discrete Goursat systems, we prove that they are necessary and sufficient for optimality, and we prove formulas for the exact or approximate solution of these equations. Using dynamic programming arguments, we obtain semi-dynamic programming equations and then we prove a maximum principle of Pontryagin's type. © 1991.

引用

页码：57 / 77

页数：21

共 50 条

[1] THE RELATIONSHIP BETWEEN THE MAXIMUM PRINCIPLE AND DYNAMIC-PROGRAMMING
CLARKE, FH
VINTER, RB
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1987, 25 (05) : 1291 - 1311
[2] DYNAMIC-PROGRAMMING APPROACH TO THE MAXIMUM PRINCIPLE OF DISTRIBUTED-PARAMETER SYSTEMS
FOND, S
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1979, 27 (04) : 583 - 601
[3] MAXIMUM PRINCIPLE, DYNAMIC-PROGRAMMING, AND THEIR CONNECTION IN DETERMINISTIC CONTROL
ZHOU, XY
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1990, 65 (02) : 363 - 373
[4] DISCRETE DYNAMIC-PROGRAMMING
BLACKWELL, D
[J]. ANNALS OF MATHEMATICAL STATISTICS, 1962, 33 (02): : 719 - &
[5] THE DYNAMIC-PROGRAMMING APPROACH TO THE OPTIMAL-CONTROL OF GOURSAT-DARBOUX SYSTEMS
BELBAS, SA
[J]. PROCEEDINGS OF THE 1989 AMERICAN CONTROL CONFERENCE, VOLS 1-3, 1989, : 1731 - 1731
[6] ON A REDUCTION PRINCIPLE IN DYNAMIC-PROGRAMMING
GLAZEBROOK, KD
[J]. ADVANCES IN APPLIED PROBABILITY, 1988, 20 (04) : 836 - 851
[7] THE PRINCIPLE AND MODELS OF DYNAMIC-PROGRAMMING
WANG, CL
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1986, 118 (02) : 287 - 308
[8] STUDIES IN DISCRETE DYNAMIC-PROGRAMMING
HOWARD, RA
[J]. OPERATIONS RESEARCH, 1958, 6 (04) : 609 - 609
[9] DYNAMIC-PROGRAMMING PRINCIPLE FOR CONTROLLED TREES
MAZLIAK, L
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1992, 314 (07): : 563 - 566
[10] DYNAMIC-PROGRAMMING APPROACH TO THE OPTIMAL-CONTROL OF SYSTEMS GOVERNED BY GOURSAT-DARBOUX EQUATIONS
BELBAS, SA
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1990, 51 (06) : 1279 - 1294

← 1 2 3 4 5 →