A Characterization of Feedback Equivalence
Juan-Miguel Gracia, Inmaculada de Hoyos, Ion Zaballa · SIAM Journal on Control and Optimization · 1990
This paper provides a new characterization of feedback equivalence that can be applied to controllable and noncontrollable matrix pairs $(A,B)$. This result is based on a generalization of a theorem of Rosenbrock describing the closed-loop invariant polynomials that are attainable by applying state feedback to a given system $\dot x = Ax + Bu$.