The Bang-bang principle of time optimal controls for the Kuramoto–Sivashinsky–KdV equation with internal control

摘要: Summary This paper is concerned with the time optimal control problem governed by internal controlled Kuramoto–Sivashinsky–Korteweg-de Vries equation, which describes many physical processes in motion of turbulence and other unstable process systems. We prove existence controls help Carleman inequality, has been widely used to obtain local controllability or null parabolic differential More precisely, we a relationship between problem. Moreover, give bang-bang principle for an our original using one approximate problems. This method new The established here seems also be fourth-order equations. Copyright © 2015 John Wiley & Sons, Ltd.