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
收藏
页码：25 / 59
页数：35
相关论文
共 34 条
[1]  
Adams A, 2003, SOBOLEV SPACES
[2]   CONVERGENCE OF FINITE-ELEMENT APPROXIMATIONS TO STATE CONSTRAINED CONVEX PARABOLIC BOUNDARY CONTROL-PROBLEMS [J].
ALT, W ;
MACKENROTH, U .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1989, 27 (04) :718-736
[3]  
Bartle R G., 1956, Studia Math, V15, P337, DOI [DOI 10.4064/SM-15-3-337-352, 10.4064/sm-15-3-337-352]
[4]  
BONNANS JF, 1992, INT S NUM M, V107, P241
[5]   OPTIMAL-CONTROL OF SEMILINEAR ELLIPTIC-EQUATIONS WITH POINTWISE CONSTRAINTS ON THE GRADIENT OF THE STATE [J].
CASAS, E ;
FERNANDEZ, LA .
APPLIED MATHEMATICS AND OPTIMIZATION, 1993, 27 (01) :35-56
[6]   OPTIMAL-CONTROL IN COEFFICIENTS OF ELLIPTIC-EQUATIONS WITH STATE CONSTRAINTS [J].
CASAS, E .
APPLIED MATHEMATICS AND OPTIMIZATION, 1992, 26 (01) :21-37
[7]  
Diestel J., 1977, VECTOR MEASURES
[8]  
DUNFORD N, 1957, LINEAR OP0ERATORS
[9]  
FATTORINI HO, 1990, PROBL CONTROL INFORM, V19, P69
[10]  
FATTORINI HO, 1990, PROBL CONTROL INFORM, V19, P3
1234