On Poles and Zeros of Input-Output and Chain-Scattering Systems

Authors:	Zhang Guangying, Harbin Institute of Technology, China Lanzon Alexander, The Australian National University, Australia
Topic:	2.2 Linear Control Systems
Session:	Analysis and Synthesis of Linear Control Systems II
Keywords:	Input-output representation, chain-scattering representation, poles, zeros, two-port networks, cascade connections

Abstract

A system is frequently represented by transfer functions in an input-output characterization. However, such a system (under mild assumptions) can also be represented by transfer functions in a port characterization, frequently referred to as a chain-scattering representation. Due to its cascade properties, the chain-scattering representation is used throughout many fields of engineering. This paper studies the relationship between poles and zeros of input-output and chain-scattering representations of the same plant.