Control systems described by a class of fractional semilinear evolution equations and their relaxation property
Summary: We consider a control system described by a class of fractional semilinear evolution equations in a separable reflexive Banach space. The constraint on the control is a multivalued map with nonconvex values which is lower semicontinuous with respect to the state variable. Along with the original system we also consider the system in which the constraint on the control is the upper semicontinuous convex-valued regularization of the original constraint. We obtain the existence results for the control systems and the relaxation property between the solution sets of these systems.
fractional semilinear evolution equations
upper semicontinuous convex-valued regularization
scientific article; zbMATH DE number 6134175
scientific article