A Small-Gain Theorem for Monotone Systems with Multi-Valued Input-State Characteristics
Optimization and Control
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0506508,
title = {A Small-Gain Theorem for Monotone Systems with Multi-Valued Input-State Characteristics},
author = {Michael Malisoff and Patrick de Leenheer},
journal= {arXiv preprint arXiv:math/0506508},
year = {2007}
}
Comments
17 pages, 2 figures, to appear in IEEE Transactions on Automatic Control