  In this paper, we design a stabilizing state-feedback control law for a
system represented by a general class of integral delay equations subject to a
pointwise and distributed input delay. The proposed controller is defined in
terms of integrals of the state and input history over a fixed-length time
window. We show that the closed-loop stability is guaranteed, provided the
controller integral kernels are solutions to a set of Fredholm equations. The
existence of solutions is guaranteed under an appropriate spectral
controllability assumption, resulting in an implementable stabilizing control
law. The proposed methodology appears simpler and more general compared to
existing results in the literature. In particular, under additional regularity
assumptions, the proposed approach can be expanded to address the degenerate
case where only a distributed control term is present.
