|
| 1 | +--- |
| 2 | +layout: default |
| 3 | +title: Applications |
| 4 | +permalink: /applications/ |
| 5 | +custom_css: |
| 6 | + - /assets/css/contributors.css |
| 7 | + - /assets/css/applications.css |
| 8 | +--- |
| 9 | + |
| 10 | +<div class="contributors-page"> |
| 11 | + |
| 12 | +<div class="contributors-header"> |
| 13 | +<h1>Applications</h1> |
| 14 | +<p class="subtitle">A collection of optimal control applications built with the control-toolbox ecosystem.</p> |
| 15 | +</div> |
| 16 | + |
| 17 | +<div class="contributors-section"> |
| 18 | +<div class="app-grid"> |
| 19 | + |
| 20 | +{% include app-card.html |
| 21 | + url="https://control-toolbox.org/CalculusOfVariations.jl" |
| 22 | + color="#CB3C33" |
| 23 | + abbrev="CoV" |
| 24 | + title="Calculus of variations" |
| 25 | + summary="Classical variational problems reformulated as optimal control problems and solved via direct and indirect numerical methods." |
| 26 | +%} |
| 27 | + |
| 28 | +{% include app-card.html |
| 29 | + url="https://agustinyabo.github.io/DiauxicGrowth.jl" |
| 30 | + color="#389826" |
| 31 | + abbrev="DBG" |
| 32 | + title="Diauxic bacterial growth" |
| 33 | + summary="Optimal resource allocation for bacterial growth on multiple substrates, maximizing final cell population via optimal control of metabolic fluxes." |
| 34 | +%} |
| 35 | + |
| 36 | +{% include app-card.html |
| 37 | + url="https://agustinyabo.github.io/PWLdynamics.jl" |
| 38 | + color="#9558B2" |
| 39 | + abbrev="GRN" |
| 40 | + title="PWL models of gene regulatory networks" |
| 41 | + summary="State transitions in piecewise linear models of gene regulatory networks, with a nonsmooth L¹ cost and regularization strategies (Hill and exponential)." |
| 42 | +%} |
| 43 | + |
| 44 | +{% include app-card.html |
| 45 | + url="https://control-toolbox.org/GeometricPreconditioner.jl" |
| 46 | + color="#CB3C33" |
| 47 | + abbrev="GPrec" |
| 48 | + font_size="19" |
| 49 | + title="Geometric preconditioner" |
| 50 | + summary="Geometric preconditioning of shooting methods to accelerate convergence in indirect optimal control, exploiting the structure of the Hamiltonian flow." |
| 51 | +%} |
| 52 | + |
| 53 | +{% include app-card.html |
| 54 | + url="https://control-toolbox.org/LossControl.jl" |
| 55 | + color="#389826" |
| 56 | + abbrev="LCtrl" |
| 57 | + font_size="19" |
| 58 | + title="Loss control regions in optimal control problems" |
| 59 | + summary="Optimal control problems with loss control regions where the control is frozen, solved by combining direct regularization and indirect shooting methods." |
| 60 | +%} |
| 61 | + |
| 62 | +{% include app-card.html |
| 63 | + url="https://control-toolbox.org/MagneticResonanceImaging.jl" |
| 64 | + color="#9558B2" |
| 65 | + abbrev="MRI" |
| 66 | + title="Optimal control in Magnetic Resonance Imaging" |
| 67 | + summary="Time-minimal control of nuclear spin ensembles via RF pulses, with applications to contrast optimization in MRI using geometric optimal control." |
| 68 | +%} |
| 69 | + |
| 70 | +{% include app-card.html |
| 71 | + url="https://control-toolbox.org/Kepler.jl" |
| 72 | + color="#CB3C33" |
| 73 | + abbrev="Kepler" |
| 74 | + font_size="19" |
| 75 | + title="Minimum time orbit transfer" |
| 76 | + summary="Minimum-time orbit transfer of a spacecraft under Kepler dynamics with thrust constraints, solved by direct and indirect methods (CNES/TAS/Inria/CNRS)." |
| 77 | +%} |
| 78 | + |
| 79 | +{% include app-card.html |
| 80 | + url="https://anasxbouali.github.io/SIRcontrol.jl" |
| 81 | + color="#389826" |
| 82 | + abbrev="SIR" |
| 83 | + title="On the problem of minimizing the epidemic final size for SIR model via social distancing" |
| 84 | + summary="Minimizing epidemic final size in the SIR model via L¹-constrained social distancing interventions, with optimal control over a single or two time intervals." |
| 85 | +%} |
| 86 | + |
| 87 | +</div> |
| 88 | +</div> |
| 89 | + |
| 90 | +</div> |
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