Exact model matching by state feedback and dynamic compensation

A new approach to the exact model matching problem is given based on an algorithm for characterizing the input-output structural properties of a linear system. In contrast to previous methods, the state feedback matching problem is solved without recourse to initial coordinate transformations. Moreover, the algorithm given here extends directly to the dynamic model matching problem and yields a set of necessary and sufficient conditions for one system to be transfer function equivalent via dynamic state feedback to a specified model system.