Lyapunov formulation of ISS small-gain in dynamical networks

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

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

Abstract

This paper provides a Lyapunov formulation of the cyclic-small-gain theorem for general dynamical networks (large-scale systems) composed of interconnected 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 publicationProceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
Pages4204-4209
Number of pages6
DOIs
StatePublished - 2009
Event48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 - Shanghai, China
Duration: Dec 15 2009Dec 18 2009

Other

Other48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
CountryChina
CityShanghai
Period12/15/0912/18/09

Fingerprint

Lyapunov functions
Lyapunov
Lyapunov Function
Formulation
Subsystem
Small Gain Theorem
Large scale systems
Large-scale Systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

Cite this

Liu, T., Hill, D. J., & Jiang, Z-P. (2009). Lyapunov formulation of ISS small-gain in dynamical networks. In Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 (pp. 4204-4209). [5400647] https://doi.org/10.1109/CDC.2009.5400647

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

Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. 2009. p. 4204-4209 5400647.

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

Liu, T, Hill, DJ & Jiang, Z-P 2009, Lyapunov formulation of ISS small-gain in dynamical networks. in Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009., 5400647, pp. 4204-4209, 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009, Shanghai, China, 12/15/09. https://doi.org/10.1109/CDC.2009.5400647
Liu T, Hill DJ, Jiang Z-P. Lyapunov formulation of ISS small-gain in dynamical networks. In Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. 2009. p. 4204-4209. 5400647 https://doi.org/10.1109/CDC.2009.5400647
Liu, Tengfei ; Hill, David J. ; Jiang, Zhong-Ping. / Lyapunov formulation of ISS small-gain in dynamical networks. Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. 2009. pp. 4204-4209
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