Lyapunov formulation of ISS cyclic-small-gain in discrete-time dynamical networks

Tengfei Liu; David J. Hill; Zhong Ping Jiang

doi:10.1109/WCICA.2010.5553943

Lyapunov formulation of ISS cyclic-small-gain in discrete-time dynamical networks

Tengfei Liu^*, David J. Hill, Zhong Ping Jiang

^*Corresponding author for this work

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

3 Citations (Scopus)

Abstract

This paper presents a Lyapunov formulation of the cyclic-small-gain theorem for dynamical networks composed of interconnected discrete-time input-to-state stable (ISS) subsystems. ISS-Lyapunov functions for dynamical networks satisfying cyclic-small-gain are constructed from the ISS-Lyapunov functions of the subsystems.

Original language	English
Title of host publication	2010 8th World Congress on Intelligent Control and Automation, WCICA 2010
Pages	568-573
Number of pages	6
DOIs	https://doi.org/10.1109/WCICA.2010.5553943
Publication status	Published - 2010
Event	2010 8th World Congress on Intelligent Control and Automation, WCICA 2010 - Jinan, China Duration: 7 Jul 2010 → 9 Jul 2010

Publication series

Name	Proceedings of the World Congress on Intelligent Control and Automation (WCICA)

Conference

Conference	2010 8th World Congress on Intelligent Control and Automation, WCICA 2010
Country/Territory	China
City	Jinan
Period	7/07/10 → 9/07/10

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10.1109/WCICA.2010.5553943

Cite this

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title = "Lyapunov formulation of ISS cyclic-small-gain in discrete-time dynamical networks",

abstract = "This paper presents a Lyapunov formulation of the cyclic-small-gain theorem for dynamical networks composed of interconnected discrete-time input-to-state stable (ISS) subsystems. ISS-Lyapunov functions for dynamical networks satisfying cyclic-small-gain are constructed from the ISS-Lyapunov functions of the subsystems.",

keywords = "Discrete-time, Dynamical networks, Input-to-state stability (ISS), Lyapunov functions, Small-gain",

author = "Tengfei Liu and Hill, {David J.} and Jiang, {Zhong Ping}",

year = "2010",

doi = "10.1109/WCICA.2010.5553943",

language = "English",

isbn = "9781424467129",

series = "Proceedings of the World Congress on Intelligent Control and Automation (WCICA)",

pages = "568--573",

booktitle = "2010 8th World Congress on Intelligent Control and Automation, WCICA 2010",

note = "2010 8th World Congress on Intelligent Control and Automation, WCICA 2010 ; Conference date: 07-07-2010 Through 09-07-2010",

}

Liu, T, Hill, DJ & Jiang, ZP 2010, Lyapunov formulation of ISS cyclic-small-gain in discrete-time dynamical networks. in 2010 8th World Congress on Intelligent Control and Automation, WCICA 2010., 5553943, Proceedings of the World Congress on Intelligent Control and Automation (WCICA), pp. 568-573, 2010 8th World Congress on Intelligent Control and Automation, WCICA 2010, Jinan, China, 7/07/10. https://doi.org/10.1109/WCICA.2010.5553943

Lyapunov formulation of ISS cyclic-small-gain in discrete-time dynamical networks. / Liu, Tengfei; Hill, David J.; Jiang, Zhong Ping.
2010 8th World Congress on Intelligent Control and Automation, WCICA 2010. 2010. p. 568-573 5553943 (Proceedings of the World Congress on Intelligent Control and Automation (WCICA)).

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

TY - GEN

T1 - Lyapunov formulation of ISS cyclic-small-gain in discrete-time dynamical networks

AU - Liu, Tengfei

AU - Hill, David J.

AU - Jiang, Zhong Ping

PY - 2010

Y1 - 2010

N2 - This paper presents a Lyapunov formulation of the cyclic-small-gain theorem for dynamical networks composed of interconnected discrete-time input-to-state stable (ISS) subsystems. ISS-Lyapunov functions for dynamical networks satisfying cyclic-small-gain are constructed from the ISS-Lyapunov functions of the subsystems.

AB - This paper presents a Lyapunov formulation of the cyclic-small-gain theorem for dynamical networks composed of interconnected discrete-time input-to-state stable (ISS) subsystems. ISS-Lyapunov functions for dynamical networks satisfying cyclic-small-gain are constructed from the ISS-Lyapunov functions of the subsystems.

KW - Discrete-time

KW - Dynamical networks

KW - Input-to-state stability (ISS)

KW - Lyapunov functions

KW - Small-gain

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U2 - 10.1109/WCICA.2010.5553943

DO - 10.1109/WCICA.2010.5553943

M3 - Conference contribution

SN - 9781424467129

T3 - Proceedings of the World Congress on Intelligent Control and Automation (WCICA)

SP - 568

EP - 573

BT - 2010 8th World Congress on Intelligent Control and Automation, WCICA 2010

T2 - 2010 8th World Congress on Intelligent Control and Automation, WCICA 2010

Y2 - 7 July 2010 through 9 July 2010

ER -

Lyapunov formulation of ISS cyclic-small-gain in discrete-time dynamical networks

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