Open AccessExponential stabilization of the problem of transmission of wave equation with linear dynamical feedback control
Author(s) -
Zhiling Guo,
Shugen Chai
Publication year - 2022
Publication title -
evolution equations and control theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 19
eISSN - 2163-2480
pISSN - 2163-2472
DOI - 10.3934/eect.2022001
Subject(s) - exponential growth , feedback control , exponential stability , exponential function , wave equation , transmission (telecommunications) , mathematics , energy (signal processing) , control theory (sociology) , mathematical analysis , exponential decay , multiplier (economics) , physics , control (management) , computer science , nonlinear system , quantum mechanics , telecommunications , statistics , control engineering , artificial intelligence , engineering , economics , macroeconomics
In this paper, we address exponential stabilization of transmission problem of the wave equation with linear dynamical feedback control. Using the classical energy method and multiplier technique, we prove that the energy of system exponentially decays.