The integral input-to-state stability of passive nonlinear systems

Chen Wang; George Weiss

doi:10.1109/CDC.2007.4434046

The integral input-to-state stability of passive nonlinear systems

Chen Wang^*, George Weiss

^*Corresponding author for this work

Department of Electrical Engineering - Systems

Imperial College London

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

1 Scopus citations

Abstract

This paper investigates the integral input-to-state stability property of passive nonlinear systems. We show that under mild assumptions, a passive nonlinear system which is globally asymptotically stable is also integral input-to-state stable. We illustrate the result by proving the integral input-to-state stability of the drive-train of a wind turbine with quadratic torque control.

Original language	English
Title of host publication	Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	3830-3834
Number of pages	5
ISBN (Print)	1424414989, 9781424414987
DOIs	https://doi.org/10.1109/CDC.2007.4434046
State	Published - 2007
Event	46th IEEE Conference on Decision and Control 2007, CDC - New Orleans, LA, United States Duration: 12 Dec 2007 → 14 Dec 2007

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	46th IEEE Conference on Decision and Control 2007, CDC
Country/Territory	United States
City	New Orleans, LA
Period	12/12/07 → 14/12/07

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This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1109/CDC.2007.4434046

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title = "The integral input-to-state stability of passive nonlinear systems",

abstract = "This paper investigates the integral input-to-state stability property of passive nonlinear systems. We show that under mild assumptions, a passive nonlinear system which is globally asymptotically stable is also integral input-to-state stable. We illustrate the result by proving the integral input-to-state stability of the drive-train of a wind turbine with quadratic torque control.",

author = "Chen Wang and George Weiss",

year = "2007",

doi = "10.1109/CDC.2007.4434046",

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booktitle = "Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC",

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note = "46th IEEE Conference on Decision and Control 2007, CDC ; Conference date: 12-12-2007 Through 14-12-2007",

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Wang, C & Weiss, G 2007, The integral input-to-state stability of passive nonlinear systems. in Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC., 4434046, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 3830-3834, 46th IEEE Conference on Decision and Control 2007, CDC, New Orleans, LA, United States, 12/12/07. https://doi.org/10.1109/CDC.2007.4434046

The integral input-to-state stability of passive nonlinear systems. / Wang, Chen; Weiss, George.
Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC. Institute of Electrical and Electronics Engineers Inc., 2007. p. 3830-3834 4434046 (Proceedings of the IEEE Conference on Decision and Control).

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

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The integral input-to-state stability of passive nonlinear systems

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