Periodic optimal control in Hilbert space

被引：22

作者：

Barbu, V ^{[1
]}

Pavel, NH ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS AND OPTIMIZATION | 1996年 / 33卷 / 02期

关键词：

exponentially stable semigroups; semilinear wave equations; periodic (or antiperiodic) boundary conditions; mild solutions; sobolev spaces; necessary conditions for optimality;

D O I：

10.1007/BF01183142

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Optimal control problem governed by y' = Ay + Bu, y(0) = epsilon y(T), epsilon = +/-1 are studied, where A is the infinitesimal generator of a nonasymptotically stable C-0 semigroup and B is a linear operator from a controller space U into a state space H. Both distributed (B is an element of L(U, H)) and boundary cases (B is an element of L(U, (D(A*))')) are investigated. Some applications to periodic control of wave equations are given.

引用

页码：169 / 188

页数：20

共 10 条

[1]

[Anonymous], 1986, CONVEXITY OPTIMIZATI

[2] OPTIMAL-CONTROL PROBLEMS WITH 2-POINT BOUNDARY-CONDITIONS [J].