A collection of optimal control applications built with the control-toolbox ecosystem.
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Classical variational problems reformulated as optimal control problems and solved via direct and indirect numerical methods.
Optimal resource allocation for bacterial growth on multiple substrates, maximizing final cell population via optimal control of metabolic fluxes.
State transitions in piecewise linear models of gene regulatory networks, with a nonsmooth L¹ cost and regularization strategies (Hill and exponential).
Geometric preconditioning of shooting methods to accelerate convergence in indirect optimal control, exploiting the structure of the Hamiltonian flow.
Optimal control problems with loss control regions where the control is frozen, solved by combining direct regularization and indirect shooting methods.
Energy-optimal control of membrane filtration processes with production-regeneration cycles, minimizing power consumption while achieving targeted permeate volume via bang-bang and singular control strategies.
Time-minimal control of nuclear spin ensembles via RF pulses, with applications to contrast optimization in MRI using geometric optimal control.
Minimum-time orbit transfer of a spacecraft under Kepler dynamics with thrust constraints, solved by direct and indirect methods.
Minimizing epidemic final size in the SIR model via L¹-constrained social distancing interventions, with optimal control over a single or two time intervals.