DocumentCode :
3266474
Title :
State-dependent scaling characterization of stability and performance for nonlinear interconnected systems
Author :
Ito, Hiroshi
Author_Institution :
Dept. of Control Eng. & Sci., Kyushu Inst. of Technol., Fukuoka, Japan
Volume :
4
fYear :
2002
fDate :
10-13 Dec. 2002
Firstpage :
3937
Abstract :
This paper proposes new criteria for stability and performance of nonlinear interconnected systems by smoothly generalizing a recently-developed method of the state-dependent scaling. The criteria are directly related to Lyapunov functions so that they show how to construct Lyapunov functions which establish the desired stability and performance explicitly. A set of popular Lyapunov stability criteria, the input-to-state stability, small-gain theorem and scaled H; small-gain condition (or structured singular value) are included as special cases. The results are obtained by introducing state-dependent scaling into a Lyapunov stability approach to dissipative systems.
Keywords :
H control; Lyapunov methods; closed loop systems; input-output stability; interconnected systems; nonlinear systems; stability criteria; H small-gain condition; Lyapunov functions; Lyapunov stability criteria; dissipative systems; input to state stability; multiloop systems; nonlinear interconnected systems; small gain theorem; state dependent scaling; structured singular value; Control engineering; Control systems; Ear; Indium tin oxide; Interconnected systems; Lyapunov method; Nonlinear control systems; Robust control; Stability criteria; State feedback;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
ISSN :
0191-2216
Print_ISBN :
0-7803-7516-5
Type :
conf
DOI :
10.1109/CDC.2002.1184981
Filename :
1184981
Link To Document :
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