A Small-Gain Theorem for Monotone Systems with Multi-Valued Input-State Characteristics

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dc.creatorMalisoff, Michael
dc.creatorde Leenheer, Patrick
dc.date2005-06-24
dc.date.accessioned2026-07-07T06:26:58Z
dc.date.available2026-07-07T06:26:58Z
dc.descriptionWe provide a new global small-gain theorem for feedback interconnections of monotone input-output systems with multi-valued input-state characteristics. This extends a recent 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. An illustrative example is also provided.
dc.description17 pages, 2 figures, to appear in IEEE Transactions on Automatic Control
dc.identifierhttps://arxiv.org/abs/math/0506508
dc.identifierhttp://arxiv.org/abs/math/0506508
dc.identifierIEEE Transactions on Automatic Control, Volume 51, Number 2, pp. 287-292, February 2006
dc.identifierdoi:10.1109/TAC.2005.863534
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97281
dc.subjectOptimization and Control
dc.subject93D20
dc.titleA Small-Gain Theorem for Monotone Systems with Multi-Valued Input-State Characteristics
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