Regular Implementability and Stabilization Using Controllers With Pre-Specified Input/Output Partition

This paper deals with the problems of regular implementability and stabilization of a given plant in the context of finite-dimensional linear differential system behaviors. In particular we solve the problems of regular implementability and stabilization using controllers in which a pre-specified subset of the plant control variables is free. We will also extend the results to the situation in which the set of plant control variables is partitioned into two complementary subsets. Variables from one subset should become controller inputs, while variables from the other should become controller outputs. In other words, we consider the problems of regular implementability and stabilization using controllers with a priori given input/output structure.