Pseudorational Impulse Responses — Algebraic System Theory for Distributed Parameter Systems

Abstract

: This paper gives a comprehensive account on a class of distributed parameter systems, whose impulse response is called pseudorational. This notion was introduced by the author in 1980's, and is particularly amenable for the study of systems with bounded-time memory. We emphasize algebraic structures induced by this class of systems. Some recent results on coprimeness issues and H ∞ control are discussed and illustrated.