REGULARIZATION OF LINEAR DESCRIPTOR SYSTEMS WITH VARIABLE-COEFFICIENTS

We study linear descriptor control systems with rectangular variable c oefficient matrices. We introduce condensed forms for such systems und er equivalence transformations and use these forms to detect whether t he system can be transformed to a uniquely solvable closed loop system via state or derivative feedback. We show that under some mild assump tions every such system consists of an underlying square subsystem tha t behaves essentially like a standard state space system, plus some so lution components that are constrained to be zero.