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

Tengfei Liu, David J. Hill, Zhong-Ping Jiang

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)2088-2093
Number of pages6
JournalAutomatica
Volume47
Issue number9
DOIs
StatePublished - Sep 2011

Fingerprint

Lyapunov functions
Large scale systems

Keywords

  • Dynamical networks
  • Input-to-state stability (ISS)
  • Lyapunov functions
  • Small-gain

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

Lyapunov formulation of ISS cyclic-small-gain in continuous-time dynamical networks. / Liu, Tengfei; Hill, David J.; Jiang, Zhong-Ping.

In: Automatica, Vol. 47, No. 9, 09.2011, p. 2088-2093.

Research output: Contribution to journalArticle

Liu, Tengfei ; Hill, David J. ; Jiang, Zhong-Ping. / Lyapunov formulation of ISS cyclic-small-gain in continuous-time dynamical networks. In: Automatica. 2011 ; Vol. 47, No. 9. pp. 2088-2093.
@article{7b25584294c946e9b4bef36c7c42d55f,
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 Zhong-Ping Jiang",
year = "2011",
month = "9",
doi = "10.1016/j.automatica.2011.06.018",
language = "English (US)",
volume = "47",
pages = "2088--2093",
journal = "Automatica",
issn = "0005-1098",
publisher = "Elsevier Limited",
number = "9",

}

TY - JOUR

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

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

U2 - 10.1016/j.automatica.2011.06.018

DO - 10.1016/j.automatica.2011.06.018

M3 - Article

VL - 47

SP - 2088

EP - 2093

JO - Automatica

JF - Automatica

SN - 0005-1098

IS - 9

ER -