Optimal control of delay-differential inclusions with functional endpoint constraints in infinite dimensions Original Research Article

This paper is devoted to the study of a general class of optimal control problems described by delay-differential inclusions with equality and inequality endpoint constraints and multivalued initial conditions. We use the method of discrete approximations and advanced tools of variational analysis and generalized differentiation in infinite dimensions to derive necessary optimality conditions in the extended Euler–Lagrange form. This method is fully realized for the delay-differential systems under consideration.