A Remark on Monotone I/O Systems
Eduardo D. Sontag
TL;DR
This paper discusses how small-gain results for negative feedback loops in monotone systems are related to extended monotone system results, providing insights into system stability analysis.
Contribution
It reveals that small-gain theorems in monotone systems can be derived from properties of extended monotone systems, offering a new perspective.
Findings
Small-gain results are consequences of extended monotone system properties.
Extended monotone systems provide a unified framework for analyzing feedback stability.
The approach simplifies understanding of negative feedback in monotone systems.
Abstract
This note remarks that small-gain results for a negative feedback loop around a monotone system can be seen as consequences of results concerning an extended monotone system.
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Taxonomy
TopicsNonlinear Dynamics and Pattern Formation · stochastic dynamics and bifurcation · Stability and Controllability of Differential Equations