A frequency-domain method for stabilization of linear neutral delay systems

This paper investigates the feedback stabilization of linear delay systems of neutral type. By means of the modified state equation and Parseval’s theorem, a frequency-domain method is presented for the feedback stabilization of the neutral systems. The frequency-domain method parallels the time-domain one provided by Hu (2022). Based on the frequency-domain method, a numerical algorithm is presented to design the stabilizing controller of the neutral systems. We emphasize that the numerical algorithm is mainly implemented through solving an unconstrained optimization problem. Numerical examples are given to illustrate the effectiveness of the presented algorithm.