A root locus approach to constructing Markovian coupled oscillators to capture the dynamics of a non-Markovian quantum system

Shi Bei Xue; Ian R. Petersen

doi:10.1109/ASCC.2015.7244447

A root locus approach to constructing Markovian coupled oscillators to capture the dynamics of a non-Markovian quantum system

Shi Bei Xue, Ian R. Petersen

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Citation (Scopus)

Abstract

This paper shows that a principal oscillator in a pair of Markovian coupled oscillators can be designed to capture the dynamics of a non-Markovian quantum system disturbed by Lorentzian noise. By using a Green's function based root locus approach, conditions for designing the Markovian coupled oscillators are obtained, with which the scaled system amplitude for the principal oscillator can capture that of the non-Markovian system.

Original language	English
Title of host publication	2015 10th Asian Control Conference
Subtitle of host publication	Emerging Control Techniques for a Sustainable World, ASCC 2015
Editors	Hazlina Selamat, Hafiz Rashidi Haruna Ramli, Ahmad Athif Mohd Faudzi, Ribhan Zafira Abdul Rahman, Asnor Juraiza Ishak, Azura Che Soh, Siti Anom Ahmad
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781479978625
DOIs	https://doi.org/10.1109/ASCC.2015.7244447
Publication status	Published - 8 Sept 2015
Externally published	Yes
Event	10th Asian Control Conference, ASCC 2015 - Kota Kinabalu, Malaysia Duration: 31 May 2015 → 3 Jun 2015

Publication series

Name	2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015

Conference

Conference	10th Asian Control Conference, ASCC 2015
Country/Territory	Malaysia
City	Kota Kinabalu
Period	31/05/15 → 3/06/15

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10.1109/ASCC.2015.7244447

Cite this

Xue, S. B., & Petersen, I. R. (2015). A root locus approach to constructing Markovian coupled oscillators to capture the dynamics of a non-Markovian quantum system. In H. Selamat, H. R. H. Ramli, A. A. M. Faudzi, R. Z. A. Rahman, A. J. Ishak, A. C. Soh, & S. A. Ahmad (Eds.), 2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015 Article 7244447 (2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ASCC.2015.7244447

Xue, Shi Bei ; Petersen, Ian R. / A root locus approach to constructing Markovian coupled oscillators to capture the dynamics of a non-Markovian quantum system. 2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015. editor / Hazlina Selamat ; Hafiz Rashidi Haruna Ramli ; Ahmad Athif Mohd Faudzi ; Ribhan Zafira Abdul Rahman ; Asnor Juraiza Ishak ; Azura Che Soh ; Siti Anom Ahmad. Institute of Electrical and Electronics Engineers Inc., 2015. (2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015).

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title = "A root locus approach to constructing Markovian coupled oscillators to capture the dynamics of a non-Markovian quantum system",

abstract = "This paper shows that a principal oscillator in a pair of Markovian coupled oscillators can be designed to capture the dynamics of a non-Markovian quantum system disturbed by Lorentzian noise. By using a Green's function based root locus approach, conditions for designing the Markovian coupled oscillators are obtained, with which the scaled system amplitude for the principal oscillator can capture that of the non-Markovian system.",

author = "Xue, {Shi Bei} and Petersen, {Ian R.}",

note = "Publisher Copyright: {\textcopyright} 2015 IEEE.; 10th Asian Control Conference, ASCC 2015 ; Conference date: 31-05-2015 Through 03-06-2015",

year = "2015",

month = sep,

day = "8",

doi = "10.1109/ASCC.2015.7244447",

language = "English",

series = "2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

editor = "Hazlina Selamat and Ramli, {Hafiz Rashidi Haruna} and Faudzi, {Ahmad Athif Mohd} and Rahman, {Ribhan Zafira Abdul} and Ishak, {Asnor Juraiza} and Soh, {Azura Che} and Ahmad, {Siti Anom}",

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Xue, SB & Petersen, IR 2015, A root locus approach to constructing Markovian coupled oscillators to capture the dynamics of a non-Markovian quantum system. in H Selamat, HRH Ramli, AAM Faudzi, RZA Rahman, AJ Ishak, AC Soh & SA Ahmad (eds), 2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015., 7244447, 2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015, Institute of Electrical and Electronics Engineers Inc., 10th Asian Control Conference, ASCC 2015, Kota Kinabalu, Malaysia, 31/05/15. https://doi.org/10.1109/ASCC.2015.7244447

A root locus approach to constructing Markovian coupled oscillators to capture the dynamics of a non-Markovian quantum system. / Xue, Shi Bei; Petersen, Ian R.
2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015. ed. / Hazlina Selamat; Hafiz Rashidi Haruna Ramli; Ahmad Athif Mohd Faudzi; Ribhan Zafira Abdul Rahman; Asnor Juraiza Ishak; Azura Che Soh; Siti Anom Ahmad. Institute of Electrical and Electronics Engineers Inc., 2015. 7244447 (2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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T1 - A root locus approach to constructing Markovian coupled oscillators to capture the dynamics of a non-Markovian quantum system

AU - Xue, Shi Bei

AU - Petersen, Ian R.

PY - 2015/9/8

Y1 - 2015/9/8

N2 - This paper shows that a principal oscillator in a pair of Markovian coupled oscillators can be designed to capture the dynamics of a non-Markovian quantum system disturbed by Lorentzian noise. By using a Green's function based root locus approach, conditions for designing the Markovian coupled oscillators are obtained, with which the scaled system amplitude for the principal oscillator can capture that of the non-Markovian system.

AB - This paper shows that a principal oscillator in a pair of Markovian coupled oscillators can be designed to capture the dynamics of a non-Markovian quantum system disturbed by Lorentzian noise. By using a Green's function based root locus approach, conditions for designing the Markovian coupled oscillators are obtained, with which the scaled system amplitude for the principal oscillator can capture that of the non-Markovian system.

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DO - 10.1109/ASCC.2015.7244447

M3 - Conference contribution

T3 - 2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015

BT - 2015 10th Asian Control Conference

A2 - Selamat, Hazlina

A2 - Ramli, Hafiz Rashidi Haruna

A2 - Faudzi, Ahmad Athif Mohd

A2 - Rahman, Ribhan Zafira Abdul

A2 - Ishak, Asnor Juraiza

A2 - Soh, Azura Che

A2 - Ahmad, Siti Anom

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 10th Asian Control Conference, ASCC 2015

Y2 - 31 May 2015 through 3 June 2015

ER -

Xue SB, Petersen IR. A root locus approach to constructing Markovian coupled oscillators to capture the dynamics of a non-Markovian quantum system. In Selamat H, Ramli HRH, Faudzi AAM, Rahman RZA, Ishak AJ, Soh AC, Ahmad SA, editors, 2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015. Institute of Electrical and Electronics Engineers Inc. 2015. 7244447. (2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015). doi: 10.1109/ASCC.2015.7244447

A root locus approach to constructing Markovian coupled oscillators to capture the dynamics of a non-Markovian quantum system

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