iISS gain of dissipative systems

B. Jayawardhana; A.R. Teel; E.P. Ryan

doi:10.1109/CDC.2007.4434585

iISS gain of dissipative systems

B. Jayawardhana
, A.R. Teel
, E.P. Ryan

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

4 Citations (Scopus)

389 Downloads (Pure)

Abstract

For a class of dissipative nonlinear systems, it is shown that an associated dissipation inequality determines an iISS gain. The result can be used to show the convergence of the state trajectory whenever the input signal has bounded energy where the energy function is related to the dissipation inequality.

Original language	English
Title of host publication	46th IEEE Conference on Decision and Control
Place of Publication	New Orleans
Publisher	IEEE (The Institute of Electrical and Electronics Engineers)
Number of pages	6
ISBN (Electronic)	978-1-4244-1498-7
ISBN (Print)	978-1-4244-1497-0
DOIs	https://doi.org/10.1109/CDC.2007.4434585
Publication status	Published - Dec-2007
Event	IEEE Conference on Decision and Control - Duration: 16-Dec-2009 → 18-Dec-2009

Conference

Conference	IEEE Conference on Decision and Control
Period	16/12/2009 → 18/12/2009

Keywords

nonlinear control systems
convergence

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10.1109/CDC.2007.4434585

cdc07-1-final.pdfFinal publisher's version, 120 KB

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@inproceedings{7a0da6df5f3e40c29c4d9e51f134c48b,

title = "iISS gain of dissipative systems",

abstract = "For a class of dissipative nonlinear systems, it is shown that an associated dissipation inequality determines an iISS gain. The result can be used to show the convergence of the state trajectory whenever the input signal has bounded energy where the energy function is related to the dissipation inequality.",

keywords = "nonlinear control systems, convergence",

author = "B. Jayawardhana and A.R. Teel and E.P. Ryan",

note = "Relation: http://ieeexplore.ieee.org/search/srchabstract.jsp?tp= Rights: -; IEEE Conference on Decision and Control ; Conference date: 16-12-2009 Through 18-12-2009",

year = "2007",

month = dec,

doi = "10.1109/CDC.2007.4434585",

language = "English",

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booktitle = "46th IEEE Conference on Decision and Control",

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

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T1 - iISS gain of dissipative systems

AU - Jayawardhana, B.

AU - Teel, A.R.

AU - Ryan, E.P.

N1 - Relation: http://ieeexplore.ieee.org/search/srchabstract.jsp?tp= Rights: -

PY - 2007/12

Y1 - 2007/12

N2 - For a class of dissipative nonlinear systems, it is shown that an associated dissipation inequality determines an iISS gain. The result can be used to show the convergence of the state trajectory whenever the input signal has bounded energy where the energy function is related to the dissipation inequality.

AB - For a class of dissipative nonlinear systems, it is shown that an associated dissipation inequality determines an iISS gain. The result can be used to show the convergence of the state trajectory whenever the input signal has bounded energy where the energy function is related to the dissipation inequality.

KW - nonlinear control systems

KW - convergence

U2 - 10.1109/CDC.2007.4434585

DO - 10.1109/CDC.2007.4434585

M3 - Conference contribution

SN - 978-1-4244-1497-0

BT - 46th IEEE Conference on Decision and Control

PB - IEEE (The Institute of Electrical and Electronics Engineers)

CY - New Orleans

T2 - IEEE Conference on Decision and Control

Y2 - 16 December 2009 through 18 December 2009

ER -

iISS gain of dissipative systems

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