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Chair of Computational Mathematics
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WP1: Control of parameter dependent problems (PDC)
Averaged dynamics and control for heat equations with random diffusion
Stochastic optimization for simultaneous control
Synchronized Oscillators
The interplay of control and deep learning
Simultaneous Control with DyCon Toolbox
Stabilization of a double pendulum on a cart with DyCon Toolbox
Averaged Control
Wave Control
Greedy algorithm for Parametric Vlasov-Fokker-Planck System
Greedy optimal control for elliptic problems and its application to turnpike problems
Greedy Control
WP2: Long time horizon control (LTHC)
Rotors imbalance suppression by optimal control
Riccati theory in LQ optimization with time-varying target
Turnpike property for functionals involving $L^1$−norm
Long time control and the Turnpike property
WP3: Control under constraints (CC)
Control of reaction-diffusion under state constraints - Heterogeneous setting: Gene-flow.
Control of reaction-diffusion under state constraints - Numerical exploration of controls
Control of reaction-diffusion under state constraints - Application of the staircase method
Control of reaction-diffusion under state constraints - Barriers
Control of reaction-diffusion under state constraints
Analysis, numerics and control for the obstacle problem
Controllability of the one-dimensional fractional heat equation under positivity constraints
Control of the semi-discrete 1D heat equation under nonnegative control constraint
IpOpt and AMPL use to solve time optimal control problems
WP4: Inverse design of time-irreversible models (SINV)
Inverse problem for Hamilton-Jacobi equations
POD and DMD Reduced Order Models for a 2D Burgers Equation
An eulerian-lagrangian scheme for the problem of the inverse design of hyperbolic transport equations
Inverse design for the one-dimensional Burgers equation
Sparse sources identification through adjoint localization algorithm
Reconstruction of traffic state using autonomous vehicles
2D inverse design of linear transport equations on unstructured grids
Conservation laws in the presence of shocks
Numerical aspects of LTHC of Burgers equation
WP5: Models involving memory terms and hybrid PDE+ODE systems (MHM)
Moving control strategy for memory-type equations
Simulation of Fractional Heat Equation
Optimal Control of the Fokker-Planck Equation with CasADi
Numerical simulation of nonlinear Population Dynamics Structuring by age and Spatial diffusion
Controllability of a Class of Infinite Dimensional Systems with Age Structure
Finite Element approximation of the one-dimensional fractional Laplacian
A numerical method for solving an age structured virus model
A reaction-diffusion equation with delay
The Dirichlet-Neumann iteration for two coupled heterogeneous heat equations
LQR controller for stabilizing the linear population dynamics model
Coupled transport equations and LQR control
LQR optimal control design for a coupled PDE-ODE system.
Solving an optimal control problem arisen in ecology with AMPL
WP6: Finite versus infinite-dimensional dynamical systems (FI)
The Optimal control on the Kuramoto adaptative coupling model with DyCon Toolbox
Control for a semilinear heat equation and analogies with a collective behavior model
Optimal Control Problem with CasADi on null-controllability of the network system
Optimal strategies for guidance-by-repulsion model with IpOpt and AMPL
The control on the Kuramoto model by handling one oscillator
Stabilization of a collective behavior model
Optimal control applied to collective behaviour
Kolmogorov equation
Optimal Control in OpenFOAM
Optimal Shape Design for Poisson Equation in OpenFOAM
Interior Control of the Poisson Equation with the Conjugate Gradient Method in OpenFOAM
Optimal Shape Design in External Flow
Interior Control of the Heat Equation with the Steepest Descent Method and OpenFOAM
Interior Control of the Poisson Equation with the Steepest Descent Method in OpenFOAM
Optimal Control of the Poisson Equation with OpenFOAM
Other Topics
Multilevel Selective Harmonic Modulation via Optimal Control
Opening the black box of Deep Learning
Points of Interest Extraction and Prediction of Next Locations
Touchdown localization for the MEMS problem with variable dielectric permittivity
Propagation of one and two-dimensional discrete waves under finite difference approximation
Structured deformations of continua
An introduction to the moment method for optimal control problems for polynomial ODEs
Two Grids Filter Method for RPS Semi-Discretization
Optimal Shape Design for Poisson Equation in Matlab
WKB expansion for a fractional Schrödinger equation with applications to controllability
Radial Basis Functions Interpolation
Dynamic Programming and Feedback Optimal Control
Q-learning for finite-dimensional problems
Optimal control for inverted pendulum
Optimal control of a graph evolving in discrete time
LQR control of a fractional reaction diffusion equation