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

Tengfei Liu, David J. Hill, Zhong Ping Jiang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 languageEnglish (US)
Title of host publication2010 8th World Congress on Intelligent Control and Automation, WCICA 2010
Pages568-573
Number of pages6
DOIs
StatePublished - 2010
Event2010 8th World Congress on Intelligent Control and Automation, WCICA 2010 - Jinan, China
Duration: Jul 7 2010Jul 9 2010

Publication series

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

Other

Other2010 8th World Congress on Intelligent Control and Automation, WCICA 2010
CountryChina
CityJinan
Period7/7/107/9/10

Keywords

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

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Software
  • Computer Science Applications

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  • Cite this

    Liu, T., Hill, D. J., & Jiang, Z. P. (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 (pp. 568-573). [5553943] (Proceedings of the World Congress on Intelligent Control and Automation (WCICA)). https://doi.org/10.1109/WCICA.2010.5553943