Input-dependent incremental stability criterion for piece-wise linear analogs of van der Pol systems

A.Y. Pogromskiy; A. Matveev

doi:10.1109/CDC.2015.7403091

Input-dependent incremental stability criterion for piece-wise linear analogs of van der Pol systems

A.Y. Pogromskiy, A. Matveev

Dynamics and Control

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

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The paper proposes and advocates a novel technique of Lyapunov analysis that is based on the concept of averaging functions and Steklov's averaging method. This approach relaxes quadratic criteria for incremental stability of nonlinear systems. The stability criteria rest on time-dependent quadratic or non-quadratic Lyapunov functions and offer better account for the role of the external excitation by providing input-dependent conditions. In particular, the proposed method works even if the system fails to satisfy the incremental version of the circle criterion and, for example, proves frequency entrainment for a piece-wise linear analog of the van der Pol oscillator whenever the input has sufficiently large amplitude.

Originele taal-2	Engels
Titel	Proceedings of the 54th IEEE Conference on Decision and Control (CDC)
Plaats van productie	Piscataway
Uitgeverij	Institute of Electrical and Electronics Engineers
Pagina's	5563-5568
Aantal pagina's	6
Volume	2016
DOI's	https://doi.org/10.1109/CDC.2015.7403091
Status	Gepubliceerd - 8 feb. 2016
Evenement	54th IEEE Conference on Decision and Control (CDC 2015) - "Osaka International Convention Center", Osaka, Japan Duur: 15 dec. 2015 → 18 dec. 2015 Congresnummer: 54 http://www.cdc2015.ctrl.titech.ac.jp/

Congres

Congres	54th IEEE Conference on Decision and Control (CDC 2015)
Verkorte titel	CDC 2015
Land/Regio	Japan
Stad	Osaka
Periode	15/12/15 → 18/12/15
Ander	the 54th IEEE Conference on Decision and Control
Internet adres	http://www.cdc2015.ctrl.titech.ac.jp/

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10.1109/CDC.2015.7403091

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@inproceedings{e804856e682a41c3a288d176ac9a1961,

title = "Input-dependent incremental stability criterion for piece-wise linear analogs of van der Pol systems",

abstract = "The paper proposes and advocates a novel technique of Lyapunov analysis that is based on the concept of averaging functions and Steklov's averaging method. This approach relaxes quadratic criteria for incremental stability of nonlinear systems. The stability criteria rest on time-dependent quadratic or non-quadratic Lyapunov functions and offer better account for the role of the external excitation by providing input-dependent conditions. In particular, the proposed method works even if the system fails to satisfy the incremental version of the circle criterion and, for example, proves frequency entrainment for a piece-wise linear analog of the van der Pol oscillator whenever the input has sufficiently large amplitude.",

author = "A.Y. Pogromskiy and A. Matveev",

year = "2016",

month = feb,

day = "8",

doi = "10.1109/CDC.2015.7403091",

language = "English",

volume = "2016",

pages = "5563--5568",

booktitle = "Proceedings of the 54th IEEE Conference on Decision and Control (CDC)",

publisher = "Institute of Electrical and Electronics Engineers",

address = "United States",

note = "54th IEEE Conference on Decision and Control (CDC 2015), CDC 2015 ; Conference date: 15-12-2015 Through 18-12-2015",

url = "http://www.cdc2015.ctrl.titech.ac.jp/",

}

Pogromskiy, AY & Matveev, A 2016, Input-dependent incremental stability criterion for piece-wise linear analogs of van der Pol systems. in Proceedings of the 54th IEEE Conference on Decision and Control (CDC). vol. 2016, 7403091, Institute of Electrical and Electronics Engineers, Piscataway, blz. 5563-5568, 54th IEEE Conference on Decision and Control (CDC 2015), Osaka, Japan, 15/12/15. https://doi.org/10.1109/CDC.2015.7403091

Input-dependent incremental stability criterion for piece-wise linear analogs of van der Pol systems. / Pogromskiy, A.Y.; Matveev, A.
Proceedings of the 54th IEEE Conference on Decision and Control (CDC). Vol. 2016 Piscataway: Institute of Electrical and Electronics Engineers, 2016. blz. 5563-5568 7403091.

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

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T1 - Input-dependent incremental stability criterion for piece-wise linear analogs of van der Pol systems

AU - Pogromskiy, A.Y.

AU - Matveev, A.

N1 - Conference code: 54

PY - 2016/2/8

Y1 - 2016/2/8

N2 - The paper proposes and advocates a novel technique of Lyapunov analysis that is based on the concept of averaging functions and Steklov's averaging method. This approach relaxes quadratic criteria for incremental stability of nonlinear systems. The stability criteria rest on time-dependent quadratic or non-quadratic Lyapunov functions and offer better account for the role of the external excitation by providing input-dependent conditions. In particular, the proposed method works even if the system fails to satisfy the incremental version of the circle criterion and, for example, proves frequency entrainment for a piece-wise linear analog of the van der Pol oscillator whenever the input has sufficiently large amplitude.

AB - The paper proposes and advocates a novel technique of Lyapunov analysis that is based on the concept of averaging functions and Steklov's averaging method. This approach relaxes quadratic criteria for incremental stability of nonlinear systems. The stability criteria rest on time-dependent quadratic or non-quadratic Lyapunov functions and offer better account for the role of the external excitation by providing input-dependent conditions. In particular, the proposed method works even if the system fails to satisfy the incremental version of the circle criterion and, for example, proves frequency entrainment for a piece-wise linear analog of the van der Pol oscillator whenever the input has sufficiently large amplitude.

U2 - 10.1109/CDC.2015.7403091

DO - 10.1109/CDC.2015.7403091

M3 - Conference contribution

VL - 2016

SP - 5563

EP - 5568

BT - Proceedings of the 54th IEEE Conference on Decision and Control (CDC)

PB - Institute of Electrical and Electronics Engineers

CY - Piscataway

T2 - 54th IEEE Conference on Decision and Control (CDC 2015)

Y2 - 15 December 2015 through 18 December 2015

ER -

Input-dependent incremental stability criterion for piece-wise linear analogs of van der Pol systems

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