Computing Contraction Metrics: Comparison of Different Implementations

Research output: Contribution to journalConference articlepeer-review

Abstract

We discuss the implementation of a novel demanding algorithm to compute contraction metrics for nonlinear systems. We compare MATLAB- and C++-implementations and study the effect of parallelizing the code. Further, we explore the use of different low-level math-libraries for the C++-implementation and the use of an undocumented code-path that considerably speeds up MATLAB code 011 AMD's Ryzen processors.

Original languageEnglish
Pages (from-to)310-316
Number of pages7
JournalIFAC-PapersOnLine
Volume54
Issue number9
DOIs
Publication statusPublished - 1 Jun 2021
Event24th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2020 - Cambridge, United Kingdom
Duration: 23 Aug 202127 Aug 2021

Bibliographical note

Publisher Copyright: Copyright © 2021 The Authors. This is an open access article under the CC BY-NC-ND license.

Other keywords

  • Contraction metric
  • Lyapunov function
  • Mesh-free collocation
  • Numerical algorithm
  • Riemannian metric

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