Open AccessBoundary controllability and boundary time-varying feedback stabilization of the 1D wave equation in non-cylindrical domains
Author(s) -
Mokhtari Yacine
Publication year - 2022
Publication title -
evolution equations and control theory
Language(s) - English
Resource type - Journals
eISSN - 2163-2480
pISSN - 2163-2472
DOI - 10.3934/eect.2021004
Subject(s) - controllability , boundary (topology) , mathematical analysis , wave equation , function (biology) , mathematics , boundary value problem , control theory (sociology) , physics , control (management) , computer science , evolutionary biology , artificial intelligence , biology
In this paper, we deal with boundary controllability and boundary stabilizability of the 1D wave equation in non-cylindrical domains. By using the characteristics method, we prove under a natural assumption on the boundary functions that the 1D wave equation is controllable and stabilizable from one side of the boundary. Furthermore, the control function and the decay rate of the solution are given explicitly.