ABSTRACT
In this work, we will investigate the question of optimal control for bilinear systems with constrained endpoint. The optimal control will be characterised through a set of unconstrained minimisation problems that approximate the former. Then a class of bilinear systems for which the optimal control can be expressed as a time-varying feedback law will be identified. Finally, applications to parabolic and hyperbolic partial differential equations are provided.
Disclosure statement
No potential conflict of interest was reported by the author(s).