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Conditional gain is necessary and sufficient for the robust stabilization of nonlinear systems | IEEE Conference Publication | IEEE Xplore
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Conditional gain is necessary and sufficient for the robust stabilization of nonlinear systems

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A.L. Chen; Gui-Qiang Chen; R.A. Freeman
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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 wea...Show More

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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.
Published in: 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)
Date of Conference: 14-17 December 2004
Date Added to IEEE Xplore: 16 May 2005
Print ISBN:0-7803-8682-5
Print ISSN: 0191-2216
DOI: 10.1109/CDC.2004.1430230
Conference Location: Nassau, Bahamas
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