The Polynomial Equation $QQ_c + RP_c = \Phi $ with Application to Dynamic Feedback
Evren Emre · SIAM Journal on Control and Optimization · 1980
Basedd on some recent results in algebraic system theory, necessary and sufficient conditions are given to achieve a given nonsingular matrix in the denominator of a matrix fraction description of a dynamic feedback system. A characterization of the required dynamic feedback laws is presented. To achieve this, first, a complete solution is given to a problem of algebra on polynomial matrix equations.