Constrained Controllability of Infinite Dimensional Systems with Single Point Delay in Control

In this research, we study the semi linear infinite dimensional abstract control system with single constant delay in the control given by x (t) = Ax (t) + F (x (t)) + B0u (t) + B1u (t h) with zero initial conditions x (0) = 0 , u (t) = 0 for t [-h,0) where the state x (t) takes values in a real Banach space X and the control u (t) is in another real Banach space U.