Document Type

Article

Publication Date

2-1-2006

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. © 2006 IEEE.

Publication Source (Journal or Book title)

IEEE Transactions on Automatic Control

First Page

287

Last Page

292

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