OPTIMAL-CONTROL PROBLEMS WITH 2-POINT BOUNDARY-CONDITIONS

被引：15

作者：

BARBU, V ^{[1
]}

PAVEL, NH ^{[1
]}

机构：

[1] OHIO UNIV,DEPT MATH,ATHENS,OH 45701

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1993年 / 77卷 / 01期

关键词：

OPTIMAL CONVEX (NONCONVEX) CONTROL PROBLEMS; ANTIPERIODIC TYPE CONDITIONS; CO-SEMIGROUPS; INFINITESIMAL GENERATORS; SUBGRADIENTS; SUBDIFFERENTIALS; PARTIAL DIFFERENTIAL EQUATIONS VIA CO-SEMIGROUPS;

D O I：

10.1007/BF00940779

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 study convex as well as some nonconvex optimal control problems for infinite-dimensional first-order linear differential systems with two-point boundary conditions of antiperiodic type. The main advance of this paper over existing related papers consists in the fact that the domains of the possible nonlinear operators involved in the boundary conditions have empty interior. Applications to boundary control systems governed by partial differential equations describing incompressible flows with fading memory and steering a temperature field are given.

引用

页码：51 / 78

页数：28

共 9 条

[1] ANTIPERIODIC SOLUTIONS TO A CLASS OF NONLINEAR DIFFERENTIAL-EQUATIONS IN HILBERT-SPACE [J].