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Electrical Network Synthesis: A Survey of Recent Work

Accepted version
Peer-reviewed

Type

Book chapter

Change log

Authors

Hughes, Timothy H 
Morelli, Alessandro  ORCID logo  https://orcid.org/0000-0001-6429-1175
Smith, Malcolm C 

Abstract

The field of electrical network synthesis has a number of long-standing unanswered questions. The most perplexing concern minimality in the context of resistor, inductor and capacitor (RLC) network synthesis. In particular, the famous Bott–Duffin networks appear highly non-minimal from a system theoretic perspective. We survey some recent developments on this topic. These include results establishing the minimality of the Bott–Duffin networks and their simplifications for realising certain impedances; enumerative approaches to the analysis of RLC networks within given classes of restricted complexity; and new necessary and sufficient conditions for a (not necessarily controllable) system to be passive. Finally, some remaining open questions are discussed.

Description

Title

Electrical Network Synthesis: A Survey of Recent Work

Keywords

4901 Applied Mathematics, 49 Mathematical Sciences

Is Part Of

Emerging Applications of Control and Systems Theory

Book type

Publisher

Springer, Cham

ISBN

978-3-319-67068-3

Rights

All rights reserved