Disturbance Rejection of Left-Invertible Neutral Time-Delay Systems

The problem of disturbance rejection (DR) for general left-invertible neutral multi-delay systems, via proportional realizable state feedback, is extensively solved. The necessary and sufficient conditions for the problem to have a realizable solution are established. The general analytical expression of the proportional realizable controller matrix is derived. The conditions and the general expression of the controller are computed using a finite number of explicit algebraic manipulations