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

Ahmed, N. U.

Discuss. Math., Differ. Incl. 15, No. 1, 75-94 (1995).

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.

MSC:

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

Keywords:

relaxed controls; optimal control; functional differential inclusions; Banach space; existence result