控制理论与应用2022，Vol.39Issue(11)：2161-2167,7.DOI:10.7641/CTA.2022.10869
反阻尼一维波动方程的稳定性
Stabilization of a 1-D wave equation with anti-damping
郭春丽 1胡蓉1
作者信息
- 1. 四川文理学院数学学院,四川达州635000
- 折叠
摘要
Abstract
This paper is to stabilize a 1-D wave equation with an anti-damping by boundary control.To use the back-stepping method of boundary control,a new transformation of two kernel functions is introduced.The equations of k-ernel functions are more complicated mathematically.By some mathematical skill,solutions of the kernel equations are constructed.Finally,the inverse transformation is attained.Through boundedness of the transformation and its inverse,stability of the closed-loop system is established.关键词
波动方程/边界控制/稳定性Key words
wave equation/boundary control/stability引用本文复制引用
郭春丽,胡蓉..反阻尼一维波动方程的稳定性[J].控制理论与应用,2022,39(11):2161-2167,7.
