A new proof of Reichert's theorem

Ying Zhang; Jason Zheng Jiang; Malcolm C. Smith

doi:10.1109/CDC.2016.7798656

A new proof of Reichert's theorem

Ying Zhang, Jason Zheng Jiang, Malcolm C. Smith

Bristol Doctoral College

Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

1 Citation (Scopus)

587 Downloads (Pure)

Abstract

Reichert’s theorem (1969), a fundamental theorem of network synthesis, completely characterises minimum reactive synthesis of positive-real biquadratic impedances. The crucial part of the original approach depends on a complicated topological argument. This paper provides an alternative proof using the recently introduced concept of regular positive-real functions.

Original language	English
Title of host publication	2016 55th IEEE Conference on Decision and Control (CDC 2016)
Subtitle of host publication	Proceedings of a meeting held 12-14 December 2016, Las Vegas, Nevada, USA
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	2615-2619
Number of pages	5
ISBN (Electronic)	9781509018376
ISBN (Print)	9781509018383
DOIs	https://doi.org/10.1109/CDC.2016.7798656
Publication status	Published - Apr 2017
Event	55th IEEE Conference on Decision and Control - ARIA Resort and Casino, Las Vegas, United States Duration: 12 Dec 2016 → 14 Dec 2016 http://cdc2016.ieeecss.org/

Conference

Conference	55th IEEE Conference on Decision and Control
Abbreviated title	55th CDC
Country/Territory	United States
City	Las Vegas
Period	12/12/16 → 14/12/16
Internet address	http://cdc2016.ieeecss.org/

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@inproceedings{093f7807d90d4db78c18995bf22d6443,

title = "A new proof of Reichert's theorem",

abstract = "Reichert{\textquoteright}s theorem (1969), a fundamental theorem of network synthesis, completely characterises minimum reactive synthesis of positive-real biquadratic impedances. The crucial part of the original approach depends on a complicated topological argument. This paper provides an alternative proof using the recently introduced concept of regular positive-real functions. ",

author = "Ying Zhang and Jiang, \{Jason Zheng\} and Smith, \{Malcolm C.\}",

year = "2017",

month = apr,

doi = "10.1109/CDC.2016.7798656",

language = "English",

isbn = "9781509018383",

pages = "2615--2619",

booktitle = "2016 55th IEEE Conference on Decision and Control (CDC 2016)",

publisher = "Institute of Electrical and Electronics Engineers (IEEE)",

address = "United States",

note = "55th IEEE Conference on Decision and Control, 55th CDC ; Conference date: 12-12-2016 Through 14-12-2016",

url = "http://cdc2016.ieeecss.org/",

}

Zhang, Y, Jiang, JZ & Smith, MC 2017, A new proof of Reichert's theorem. in 2016 55th IEEE Conference on Decision and Control (CDC 2016): Proceedings of a meeting held 12-14 December 2016, Las Vegas, Nevada, USA. Institute of Electrical and Electronics Engineers (IEEE), pp. 2615-2619, 55th IEEE Conference on Decision and Control, Las Vegas, United States, 12/12/16. https://doi.org/10.1109/CDC.2016.7798656

A new proof of Reichert's theorem. / Zhang, Ying; Jiang, Jason Zheng; Smith, Malcolm C.
2016 55th IEEE Conference on Decision and Control (CDC 2016): Proceedings of a meeting held 12-14 December 2016, Las Vegas, Nevada, USA. Institute of Electrical and Electronics Engineers (IEEE), 2017. p. 2615-2619.

Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

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AU - Zhang, Ying

AU - Jiang, Jason Zheng

AU - Smith, Malcolm C.

PY - 2017/4

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N2 - Reichert’s theorem (1969), a fundamental theorem of network synthesis, completely characterises minimum reactive synthesis of positive-real biquadratic impedances. The crucial part of the original approach depends on a complicated topological argument. This paper provides an alternative proof using the recently introduced concept of regular positive-real functions.

AB - Reichert’s theorem (1969), a fundamental theorem of network synthesis, completely characterises minimum reactive synthesis of positive-real biquadratic impedances. The crucial part of the original approach depends on a complicated topological argument. This paper provides an alternative proof using the recently introduced concept of regular positive-real functions.

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DO - 10.1109/CDC.2016.7798656

M3 - Conference Contribution (Conference Proceeding)

SN - 9781509018383

SP - 2615

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BT - 2016 55th IEEE Conference on Decision and Control (CDC 2016)

PB - Institute of Electrical and Electronics Engineers (IEEE)

T2 - 55th IEEE Conference on Decision and Control

Y2 - 12 December 2016 through 14 December 2016

ER -

A new proof of Reichert's theorem

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