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

Zhong Ping Jiang; Yuan Wang

doi:10.1109/WCICA.2008.4593093

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

Zhong Ping Jiang, Yuan Wang

Electrical and Computer Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English (US)
Title of host publication	Proceedings of the 7th World Congress on Intelligent Control and Automation, WCICA'08
Pages	1188-1193
Number of pages	6
DOIs	https://doi.org/10.1109/WCICA.2008.4593093
State	Published - 2008
Event	7th World Congress on Intelligent Control and Automation, WCICA'08 - Chongqing, China Duration: Jun 25 2008 → Jun 27 2008

Publication series

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

Other

Other	7th World Congress on Intelligent Control and Automation, WCICA'08
Country/Territory	China
City	Chongqing
Period	6/25/08 → 6/27/08

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

Access to Document

10.1109/WCICA.2008.4593093

Cite this

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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Jiang, ZP & 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, Proceedings of the World Congress on Intelligent Control and Automation (WCICA), 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

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AB - 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.

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

Abstract

Publication series

Other

Keywords

ASJC Scopus subject areas

Access to Document

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