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

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We 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.
17 pages, 2 figures, to appear in IEEE Transactions on Automatic Control

Keywords

Optimization and Control, 93D20

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/97281

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0506508
 http://arxiv.org/abs/math/0506508
 IEEE Transactions on Automatic Control, Volume 51, Number 2, pp. 287-292, February 2006
 doi:10.1109/TAC.2005.863534

Collections

arXiv