Modal control of multi-input systems of neutral type with retarded argument

Abstract

We suggest a special choice of a basis in the linear span of columns of the “controllability matrix” for multi-input systems of neutral type with retarded argument, which permits one to obtain an effective sufficient solvability condition for the modal control problem for such systems. The proof of this condition provides a constructive way for designing the desired regulator by the feedback principle on the basis of the solution of linear algebraic systems over the ring of bivariate polynomials.