Stabilization of a Parabolic-Elliptic System via Backstepping

被引：1
|
作者：
Alalabi, Ala' [1 ]
Morris, Kirsten [1 ]
机构：
[1] Univ Waterloo, Dept Appl Math, 200 Univ Ave West, Waterloo, ON N2L 3G1, Canada
来源：
2023 62ND IEEE CONFERENCE ON DECISION AND CONTROL, CDC | 2023年
基金：
加拿大自然科学与工程研究理事会;
关键词：
BOUNDARY CONTROL; WELL-POSEDNESS;
D O I：
10.1109/CDC49753.2023.10384112
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Stabilization of a parabolic partial differential equation coupled with an elliptic partial differential equation is considered. Even in the situation when these equations are exponentially stable when uncoupled, the coupled system may be unstable. A backstepping approach is used to design a boundary control that stabilizes the coupled system. The result is illustrated with simulations.
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页码：2663 / 2668
页数：6
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