TheH^∞-control problem for parabolic systems. Applications to systems with singular Hardy potentials

Abstract

<div class="abstract"> <p style="margin: 0px;"> <div>We solve the $H^{\infty }$-control problem with state</div> </div> <p style="margin: 0px;"> <div>feedback for infinite dimensional boundary control systems of parabolic type</div> </div> <p style="margin: 0px;"> <div>with distributed disturbances and provide some applications of this result</div> </div> <p style="margin: 0px;"> <div>to equations with Hardy potentials with the singularity inside or on the</div> </div> <p style="margin: 0px;"> <div>boundary, in the cases of a distributed control and of a boundary control.</div> </div> <div class="sectionWrapper"> <h1 class="heading" xslelement="title"> <div>2020 Mathematics Subject Classification</div> </h1> <div class="containerGroup"> <div class="paragraphWrapper"> <div><div>93B36, 93B52, 93B35, 35K90.</div> </div> </div> </div> </div></div>