Optimal control problems with two-point boundary conditions

Abstract

We study convex as well as some nonconvex optimal control problems for infinite-dimensional first-order linear differential systems with two-point boundary conditions of antiperiodic type. The main advance of this paper over existing related papers consists in the fact that the domains of the possible nonlinear operators involved in the boundary conditions have empty interior. Applications to boundary control systems governed by partial differential equations describing incompressible flows with fading memory and steering a temperature field are given.