Exact Controllability Of Control Systems For Partial Differential Equations With Variable Coefficients

Partial differential equation control systems are widely applied in the field of control systems. Its exact controllability needs to be guaranteed in industry. In the last decades, researchers had done millions of study on the exact controllability of control systems for partial differential equation. Various novel methods had been proposed and successfully applied. In this study, we first proved a class of weakly coupled wave equations with vari-able coefficients and Schrodinger equation with variable coefficients by boundary control are exactly controllable.Here we adopted HUM and multiplier strategy to prove the weakly coupled wave equations with variable coefficients are exactly controllable. where,Similarly, we proved the Schrodinger equation with variable coefficients are exactly controllable. where,...