Boundary control of the Maxwell dynamical system: Lack of controllability by topological reasons

被引：7

作者：

Belishev, M

Glasman, A

机构：

[1] VA Steklov Math Inst, St Petersburg Dept, St Petersburg 191011, Russia

[2] St Petersburg State Univ, St Petersburg 198904, Russia

来源：

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2000年 / 5卷

关键词：

Maxwell's dynamical system; boundary control; unreachable states; topology of a domain;

D O I：

10.1051/cocv:2000108

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The paper deals with a boundary control problem for the Maxwell dynamical system in a bounbed domain Omega subset of R-3. Let Omega (T) subset of Omega be the subdomain filled by waves at the moment T, T-* the moment at which the waves fill the whole of Omega. The following effect occurs: for small enough T the system is approximately controllable in Omega (T) whereas for larger T < T-* a lack of controllability is possible. The subspace of unreachable states is of finite dimension determined by topological characteristics of <Omega>(T).

引用

页码：207 / 217

页数：11

共 17 条

[1]

AVDONIN S, 1997, J MATH SCI, V83

[2]

BELISHEV M, 1999, 10 PDMI

[3]

BELISHEV M, 1998, 9814 CMLA ENS

[4]

BELISHEV M, 1997, 22 POMI