Triangular Decoupling with simultaneous Disturbance Rejection for general linear time delay systems via measurement output feedback

Simple algebraic criteria are derived for the solvability of the combined problem of Triangular Decoupling and Disturbance Rejection (TDDR) for general neutral multi-delay systems with measurable and non-measurable disturbances, via proportional measurable disturbance feedback and measurement output feedback. Additionally, the necessary and sufficient conditions, for the problem to admit a realizable solution, are established and the general analytical expression of the realizable controller matrices solving the problem are determined.