Optimal control of infinite dimensional systems governed by functional differential inclusions. (English) Zbl 0824.49007

Summary: We consider the problem of optimal control for a class of systems governed by functional differential inclusions (FDI) on Banach space. We prove the existence of solutions of the FDI under mild assumptions. We also present an existence result on optimal controls.


49J24 Optimal control problems with differential inclusions (existence) (MSC2000)
49J27 Existence theories for problems in abstract spaces
34H05 Control problems involving ordinary differential equations
34A60 Ordinary differential inclusions
93C25 Control/observation systems in abstract spaces