CONTROLLABILITY AND STABILIZABILITY OF COUPLED STRINGS WITH CONTROL APPLIED AT THE COUPLED POINTS

被引：22

作者：

HO, LF

机构：

[1] Wright State Univ, Dayton, OH

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1993年 / 31卷 / 06期

关键词：

COUPLED STRINGS; CONTROLLABILITY; STABILIZABILITY; NONHARMONIC FOURIER SERIES; RIESZ BASIS;

D O I：

10.1137/0331066

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Controllability and stabilizability of a system of coupled strings with control applied at the coupled points is studied. By investigating the properties of certain exponential series, it is shown that the system is approximate controllable if and only if related systems of uncoupled strings do not share a common eigenvalue. A sufficient condition for exact controllability is also obtained in terms of the Riesz basis properties of those exponential series.

引用

页码：1416 / 1437

页数：22

共 15 条

[1]

BARDOS C, 1988, CONTROLABILITE EXACT, V1

[2] POINTWISE STABILIZATION IN THE MIDDLE OF THE SPAN FOR 2ND-ORDER SYSTEMS, NONUNIFORM AND UNIFORM EXPONENTIAL DECAY OF SOLUTIONS [J].