학술논문
Finite Extinction Time for a String Equation with a Delayed Input
Document Type
Conference
Author
Source
2018 37th Chinese Control Conference (CCC) Control Conference (CCC), 2018 37th Chinese. :1185-1190 Jul, 2018
Subject
Language
ISSN
1934-1768
Abstract
This paper is concerned with the super-stability of a one dimensional wave equation with time delay in the boundary. Based on the backstepping method, a feedback control law is presented, and it is shown that the energy of the resulting closed-loop system vanishes in finite time under this control law with special parameters. In the end, the numerical simulations verify the existence of the finite extinction phenomenon for the delayed system.