A generalization of the nonlinear small-gain theorem for large-scale complex systems

Zhong-Ping Jiang, Yuan Wang

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

Abstract

This paper presents a generalization of the nonlinear small-gain theorem for large-scale complex systems consisting of multiple input-to-output stable systems. It includes as a special case the previous nonlinear small-gain theorems with two interconnected systems, and recent small-gain theorems for networks of input-to-state stable subsystems. It is expected that this new small-gain theorem will find wide applications in the analysis and control synthesis of large-scale complex systems.

Original languageEnglish (US)
Title of host publicationProceedings of the 7th World Congress on Intelligent Control and Automation, WCICA'08
Pages1188-1193
Number of pages6
DOIs
StatePublished - 2008
Event7th World Congress on Intelligent Control and Automation, WCICA'08 - Chongqing, China
Duration: Jun 25 2008Jun 27 2008

Other

Other7th World Congress on Intelligent Control and Automation, WCICA'08
CountryChina
CityChongqing
Period6/25/086/27/08

Fingerprint

Large scale systems

Keywords

  • Input-to-output stability
  • Input-to-state stability
  • Large-scale systems
  • Nonlinear small-gain

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Software
  • Computer Science Applications

Cite this

Jiang, Z-P., & Wang, Y. (2008). A generalization of the nonlinear small-gain theorem for large-scale complex systems. In Proceedings of the 7th World Congress on Intelligent Control and Automation, WCICA'08 (pp. 1188-1193). [4593093] https://doi.org/10.1109/WCICA.2008.4593093

A generalization of the nonlinear small-gain theorem for large-scale complex systems. / Jiang, Zhong-Ping; Wang, Yuan.

Proceedings of the 7th World Congress on Intelligent Control and Automation, WCICA'08. 2008. p. 1188-1193 4593093.

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

Jiang, Z-P & Wang, Y 2008, A generalization of the nonlinear small-gain theorem for large-scale complex systems. in Proceedings of the 7th World Congress on Intelligent Control and Automation, WCICA'08., 4593093, pp. 1188-1193, 7th World Congress on Intelligent Control and Automation, WCICA'08, Chongqing, China, 6/25/08. https://doi.org/10.1109/WCICA.2008.4593093
Jiang Z-P, Wang Y. A generalization of the nonlinear small-gain theorem for large-scale complex systems. In Proceedings of the 7th World Congress on Intelligent Control and Automation, WCICA'08. 2008. p. 1188-1193. 4593093 https://doi.org/10.1109/WCICA.2008.4593093
Jiang, Zhong-Ping ; Wang, Yuan. / A generalization of the nonlinear small-gain theorem for large-scale complex systems. Proceedings of the 7th World Congress on Intelligent Control and Automation, WCICA'08. 2008. pp. 1188-1193
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