Log-Linear Dynamical Systems

We present log-linear dynamical systems, a dynamical system model for positive quantities. We explain the connection to linear dynamical systems and show how convex optimization can be used to identify and control log-linear dynamical systems. We illustrate system identification and control with an...

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Bibliographic Details
Main Author Diamond, Steven
Format Journal Article
LanguageEnglish
Published 10.01.2020
Subjects
Mathematics - Optimization and Control
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Summary:We present log-linear dynamical systems, a dynamical system model for positive quantities. We explain the connection to linear dynamical systems and show how convex optimization can be used to identify and control log-linear dynamical systems. We illustrate system identification and control with an example from predator-prey dynamics. We conclude by discussing potential applications of the proposed model.
DOI:10.48550/arxiv.2001.03649