A Polynomial-Time Algorithm for the Minimal Input/Output Node Cardinality Disturbance Decoupling Problem via Output Feedback

In this paper, we propose an algorithm that solves, in polynomial-time, the minimal input/output node cardinality disturbance decoupling problem via output feedback. The optimal solution, intended as a minimal-cardinality pair of sets of control inputs and measurement output nodes needed to achieve the decoupling, is computed by solving a modified min-cut/max-flow problem.