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A small-gain theorem for motone systems with multivalued input-state characteristics
Malisoff, M.; De Leenheer, P.;
Automatic Control, IEEE Transactions on
Volume 51,
Issue 2,
Feb. 2006
Page(s):287
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292
Abstract:
We provide a small-gain theorem for feedback interconnections of monotone input-output systems with multi-valued input-state characteristics. This extends a small-gain theorem of Angeli and Sontag for monotone systems with singleton-valued characteristics. We prove our theorem using Thieme's convergence theory for asymptotically autonomous systems. We also provide an illustrative example.
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