Edalatzadeh, M. SajjadMorris, Kirsten2019-10-252019-10-252019-10-08http://hdl.handle.net/10012/15231Many physical systems are modeled by nonlinear parabolic differential equations, such as the Kuramoto-Sivashinsky (KS) equation. In this paper, the existence of a concurrent optimal controller and actuator design is established for semilinear systems. Optimality equations are provided. The results are shown to apply to optimal controller/actuator design for the Kuramoto-Sivashinsky equation and also nonlinear diffusion.ennonlinear systemsdistributed parameter systemsoptimal controlactuatorsPreprint