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Conditional gain is necessary and sufficient for the robust stabilization of nonlinear systems

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.

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Authors


Freeman, RA More by this author
Journal:
Proceedings of the IEEE Conference on Decision and Control
Volume:
2
Pages:
1347-1351
Publication date:
2004
ISSN:
0191-2216
URN:
uuid:a19479d2-8c80-4675-ba77-a3168af10a5e
Source identifiers:
203253
Local pid:
pubs:203253
Language:
English

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