Lyapunov-Krasovskii approach is applied to parameter- and delay-robustness
analysis of the feedback suggested by Manitius and Olbrot for a linear
time-invariant system with distributed input delay. A functional is designed
based on Artstein's system reduction technique. It depends on the norms of the
reduction-transformed plant state and original actuator state. The functional
is used to prove that the feedback is stabilizing when there is a slight
mismatch in the system matrices and delay values between the plant and
controller