Optimal control problems with state constraints for semilinear distributed-parameter systems

被引：23

作者：

Fattorini, HO

机构：

[1] Department of Mathematics, University of California, Los Angeles, CA

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1996年 / 88卷 / 01期

关键词：

distributed-parameter systems; maximum principle; optimal control; state constraints;

D O I：

10.1007/BF02192021

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 consider optimal control problems for distributed-parameter systems described by semilinear equations, with constraints on the control and on the state, and an exact pointwise target condition. As an application of a general theory of nonlinear programming problems in Banach spaces, a version of the Pontryagin maximum principle is obtained.

引用

页码：25 / 59

页数：35

共 50 条

[1] OPTIMAL CONTROL OF DISTRIBUTED-PARAMETER SYSTEMS WITH INTEGRAL EQUATION CONSTRAINTS
SHIH, YP
[J]. CHEMICAL ENGINEERING SCIENCE, 1969, 24 (04) : 671 - &
[2] OPTIMAL CONTROL OF DISTRIBUTED-PARAMETER SYSTEMS
FAHMY, MM
[J]. PROCEEDINGS OF THE INSTITUTION OF ELECTRICAL ENGINEERS-LONDON, 1968, 115 (04): : 572 - &
[3] OPTIMAL CONTROL OF COUNTERCURRENT DISTRIBUTED-PARAMETER SYSTEMS
LO, CT
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1973, 18 (02) : 273 - 288
[4] SURVEY OF OPTIMAL CONTROL OF DISTRIBUTED-PARAMETER SYSTEMS
ROBINSON, AC
[J]. AUTOMATICA, 1971, 7 (03) : 371 - +
[5] Some problems of control of the distributed-parameter systems
A. G. Butkovskiy
[J]. Automation and Remote Control, 2011, 72 : 1237 - 1241
[6] Some Problems of Control of the Distributed-parameter Systems
Butkovskiy, A. G.
[J]. AUTOMATION AND REMOTE CONTROL, 2011, 72 (06) : 1237 - 1241
[7] OPTIMAL CONTROL OF A CLASS OF DISTRIBUTED-PARAMETER SYSTEMS WITH DISTRIBUTED CONTROLS
KOPPEL, LB
SHIH, YP
[J]. INDUSTRIAL & ENGINEERING CHEMISTRY FUNDAMENTALS, 1968, 7 (03): : 414 - &
[8] OPTIMAL-CONTROL PROBLEMS FOR DISTRIBUTED-PARAMETER SYSTEMS IN BANACH-SPACES
FATTORINI, HO
[J]. APPLIED MATHEMATICS AND OPTIMIZATION, 1993, 28 (03): : 225 - 257
[9] TRIGONOMETRIC APPROXIMATION OF OPTIMAL PERIODIC CONTROL-PROBLEMS FOR DISTRIBUTED-PARAMETER SYSTEMS
STYCZEN, K
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1986, 44 (03) : 879 - 886
[10] Singular controls in control problems for distributed-parameter systems
Mansimov K.B.
[J]. Journal of Mathematical Sciences, 2008, 148 (3) : 331 - 381

← 1 2 3 4 5 →