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

Tengfei Liu; David J. Hill; Zhong Ping Jiang

doi:10.1016/j.automatica.2011.06.018

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

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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

143 Citations (Scopus)

Abstract

This paper provides a Lyapunov formulation of the cyclic-small-gain theorem for general dynamical networks (large-scale systems) composed of continuous-time input-to-state stable (ISS) subsystems. ISS-Lyapunov functions for continuous-time dynamical networks satisfying cyclic-small-gain conditions are constructed from the ISS-Lyapunov functions of the subsystems.

Original language	English
Pages (from-to)	2088-2093
Number of pages	6
Journal	Automatica
Volume	47
Issue number	9
DOIs	https://doi.org/10.1016/j.automatica.2011.06.018
Publication status	Published - Sept 2011

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10.1016/j.automatica.2011.06.018

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

abstract = "This paper provides a Lyapunov formulation of the cyclic-small-gain theorem for general dynamical networks (large-scale systems) composed of continuous-time input-to-state stable (ISS) subsystems. ISS-Lyapunov functions for continuous-time dynamical networks satisfying cyclic-small-gain conditions are constructed from the ISS-Lyapunov functions of the subsystems.",

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

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

year = "2011",

month = sep,

doi = "10.1016/j.automatica.2011.06.018",

language = "English",

volume = "47",

pages = "2088--2093",

journal = "Automatica",

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

AU - Liu, Tengfei

AU - Hill, David J.

AU - Jiang, Zhong Ping

PY - 2011/9

Y1 - 2011/9

N2 - This paper provides a Lyapunov formulation of the cyclic-small-gain theorem for general dynamical networks (large-scale systems) composed of continuous-time input-to-state stable (ISS) subsystems. ISS-Lyapunov functions for continuous-time dynamical networks satisfying cyclic-small-gain conditions are constructed from the ISS-Lyapunov functions of the subsystems.

AB - This paper provides a Lyapunov formulation of the cyclic-small-gain theorem for general dynamical networks (large-scale systems) composed of continuous-time input-to-state stable (ISS) subsystems. ISS-Lyapunov functions for continuous-time dynamical networks satisfying cyclic-small-gain conditions are constructed from the ISS-Lyapunov functions of the subsystems.

KW - Dynamical networks

KW - Input-to-state stability (ISS)

KW - Lyapunov functions

KW - Small-gain

UR - http://www.scopus.com/inward/record.url?scp=80052035782&partnerID=8YFLogxK

U2 - 10.1016/j.automatica.2011.06.018

DO - 10.1016/j.automatica.2011.06.018

M3 - Article

SN - 0005-1098

VL - 47

SP - 2088

EP - 2093

JO - Automatica

JF - Automatica

IS - 9

ER -

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

Abstract

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