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

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...

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Bibliographic Details
Published in2008 7th World Congress on Intelligent Control and Automation pp. 1188 - 1193
Main Authors Zhong-Ping Jiang, Yuan Wang
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.06.2008
Subjects
Gain
input-to-output stability
input-to-state stability
Interconnected systems
Large-scale systems
Lyapunov method
nonlinear small-gain
Nonlinear systems
Stability analysis
Stability criteria
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ISBN1424421136
9781424421138
DOI10.1109/WCICA.2008.4593093

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Summary: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.
ISBN:1424421136
9781424421138
DOI:10.1109/WCICA.2008.4593093