EXACTLY SYNCHRONIZABLE STATE AND APPROXIMATE CONTROLLABILITY FOR A COUPLED SYSTEM OF WAVE EQUATIONS WITH LOCALLY DISTRIBUTED CONTROLS

被引：0

作者：

Li, Tatsien ^{[1
,2
,3
]}

Rao, Bopeng ^{[4
]}

机构：

[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

[2] Shanghai Key Lab Contemporary Appl Math, Shanghai, Peoples R China

[3] Nonlinear Math Modeling & Methods Lab, Shanghai, Peoples R China

[4] Univ Strasbourg, Inst Rech Math Avancee, F-67084 Strasbourg, France

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2023年 / 61卷 / 03期

关键词：

exact synchronization; approximate controllability; exactly synchronizable state; coupled system of wave equations; EXACT BOUNDARY SYNCHRONIZATION; KALMAN RANK CONDITION; OBSERVABILITY;

D O I：

10.1137/22M1488430

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

For a coupled system of wave equations with locally distributed controls, we prove that the exactly synchronizable state is independent of applied controls and then can be uniquely determined by the initial data if and only if the system is not approximately controllable or, equiv-alently, if and only if Kalman's rank condition (3.2) holds.

引用

页码：1460 / 1471

页数：12

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