Internal Feedback Stabilization of Nonstationary Solutions to Semilinear Parabolic Systems

被引：0
|
作者：
Cătălin-George Lefter
机构：
[1] “Alexandru Ioan Cuza” University of Iasi,Faculty of Mathematics
[2] “Octav Mayer” Institute of Mathematics,undefined
[3] Romanian Academy,undefined
[4] Iaşi Branch,undefined
来源：
Journal of Optimization Theory and Applications | 2016年 / 170卷
关键词：
Systems of parabolic equations; Approximate controllability; Feedback stabilization; Riccati differential equation; 35K40; 35K58; 34H15; 93D15; 49N05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider systems of controlled parabolic equations, coupled in lower-order terms, where the controllers act in a subdomain. We prove results of feedback stabilization to given nonstationary solutions satisfying some boundedness conditions. The argument relies on some refined estimates of the cost of approximate controllability and on the study of an appropriate differential Riccati equation.
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页码：960 / 976
页数：16
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