DocumentCode
435124
Title
Conditional gain is necessary and sufficient for the robust stabilization of nonlinear systems
Author
Chen, Gui-Qiang ; Gui-Qiang Chen ; Freeman, Randy A.
Author_Institution
Dept. of Electr. & Comput. Eng., Northwestern Univ., Evanston, IL, USA
Volume
2
fYear
2004
fDate
14-17 Dec. 2004
Firstpage
1347
Abstract
For the feedback interconnection of general nonlinear systems, the classical small-gain condition is sufficient but not necessary for robust stability. We introduce a weaker notion of gain which yields a small-gain condition which is both necessary and sufficient for robust stability. We also discuss conditions under which the two notions coincide.
Keywords
feedback; nonlinear control systems; robust control; conditional gain; feedback interconnection; necessary and sufficient condition; nonlinear systems; robust stability; small-gain condition; Fading; Feedback; Hydrogen; Mathematics; Nonlinear systems; Robust stability; Robustness; Sufficient conditions; Uncertainty;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2004. CDC. 43rd IEEE Conference on
ISSN
0191-2216
Print_ISBN
0-7803-8682-5
Type
conf
DOI
10.1109/CDC.2004.1430230
Filename
1430230
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