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Relationship between poles and zeros of input–output and chain-scattering systems
Authors:Guangying Zhang  Alexander Lanzon  
Affiliation:aThe Department of Control Science and Engineering, Harbin Institute of Technology, Harbin 150001, China;bResearch School of Information Sciences and Engineering, The Australian National University, Canberra, ACT 0200, Australia;cNational ICT Australia Ltd., Locked Bag 8001, Canberra ACT 2601, Australia
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 system.
Keywords:Input–  output systems   Chain-scattering systems   Poles   Zeros   Two-port networks
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