Rapid boundary stabilization of linear distributed systems

被引：70

作者：

Komornik, V ^{[1
]}

机构：

[1] CNRS, F-67084 STRASBOURG, FRANCE

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1997年 / 35卷 / 05期

关键词：

observability; controllability; stabilizability by feedback; partial differential equation; wave equation; Petrovsky system;

D O I：

10.1137/S0363012996301609

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We prove that under rather general assumptions an exactly controllable problem is uniformly stabilizable with arbitrarily prescribed decay rates. Our approach is direct and constructive and avoids many of the technical difficulties associated with the usual methods based on Riccati equations. We give several applications for the wave equation and for Petrovsky systems.

引用

页码：1591 / 1613

页数：23

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