Stabilization of a 1-D wave equation with anti-damping
GUO Chun-li
HU Rong
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.
Keywords：wave equationboundary controlstability
Publication Date：2022-11-28
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：7( 2161-2167 )