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.
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页码：169 / 188
页数：20
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