Simultaneous and indirect control of waves: Some recent developments and open problems

被引：0

作者：

Tebou, Louis ^{[1
]}

机构：

[1] Florida Int Univ, Dept Math & Stat, Modesto Maidique Campus, Miami, FL 33199 USA

来源：

IDENTIFICATION AND CONTROL: SOME NEW CHALLENGES | 2020年 / 757卷

关键词：

BOUNDARY-VALUE CONTROL; LOWER-ORDER TERMS; EXACT CONTROLLABILITY; OBSERVABILITY INEQUALITIES; HYPERBOLIC SYSTEMS; DECAY-RATES; SHORT-TIME; STABILIZATION; EQUATIONS; ENERGY;

D O I：

10.1090/conm/757/15249

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The control of a single wave equation has known some tremendous amount of activity since the pioneering works of Russell in the sixties and seventies, and especially after the publication of Lions' monographs on controllability. However, the control of multi-component systems of wave equations can be arguably said to be at an early stage. In these notes, I discuss some of my recent works in this area, focusing on the notion of simultaneous control (using the same control scheme in all components of the system at hand), and indirect control (using a single control for a system consisting of two components). I also discuss some problems that I deem important to investigate.

引用

页码：51 / 90

页数：40

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