Input-Output Structure of Linear Differential /Algebraic Systems

Abstract

Systems of linear differential and algebraic equations occur in various ways, for instance, as a result of automated modeling procedures and in problems involving algebraic constraints, such as zero dynamics and exact model matching. Differential/algebraic systems may represent an input-output relation in a highly redundant way; still, it is often of interest to determine the input-output structure in terms of the original parameters. This is the subject of the present paper. Specifically, explicit formulas in terms of original data will be given to answer the following questions: Do the given equations determine a transfer matrix, and if so, what is the pole/zero structure at infinity of th..