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Hauptverfasser: Gould, Brendan, Harapanahalli, Akash, Coogan, Samuel
Format: Preprint
Veröffentlicht: 2025
Schlagworte:
Online-Zugang:https://arxiv.org/abs/2509.19484
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author Gould, Brendan
Harapanahalli, Akash
Coogan, Samuel
author_facet Gould, Brendan
Harapanahalli, Akash
Coogan, Samuel
contents We present linrax, the first simplex based linear program (LP) solver compatible with the JAX ecosystem. In many control algorithms, LPs are often automatically generated and frequently solved either offline or online in the control loop. This motivates the design of linrax, which is especially suited for compilation into a complex JAX-based pipeline as a subroutine. We discuss the challenges associated with implementing a general purpose LP solver under strict design requirements from JAX. Notably, we can solve general problems which may include dependent constraints-something not possible with existing JAX-compatible LP solvers that use first-order techniques and may fail to converge. We demonstrate the utility of linrax through several examples, including a robust control synthesis pipeline for a nonlinear vehicle model using automatic differentiation through a LP-based reachable set framework.
format Preprint
id arxiv_https___arxiv_org_abs_2509_19484
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle linrax: A JAX Compatible, Simplex Method Linear Program Solver
Gould, Brendan
Harapanahalli, Akash
Coogan, Samuel
Systems and Control
We present linrax, the first simplex based linear program (LP) solver compatible with the JAX ecosystem. In many control algorithms, LPs are often automatically generated and frequently solved either offline or online in the control loop. This motivates the design of linrax, which is especially suited for compilation into a complex JAX-based pipeline as a subroutine. We discuss the challenges associated with implementing a general purpose LP solver under strict design requirements from JAX. Notably, we can solve general problems which may include dependent constraints-something not possible with existing JAX-compatible LP solvers that use first-order techniques and may fail to converge. We demonstrate the utility of linrax through several examples, including a robust control synthesis pipeline for a nonlinear vehicle model using automatic differentiation through a LP-based reachable set framework.
title linrax: A JAX Compatible, Simplex Method Linear Program Solver
topic Systems and Control
url https://arxiv.org/abs/2509.19484