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Heat Equation

• Averaged dynamics and control for heat equations with random diffusion
• Moving control strategy for memory-type equations
• 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
• Control for a semilinear heat equation and analogies with a collective behavior model
• Simulation of Fractional Heat Equation
• Optimal Control of the Fokker-Planck Equation with CasADi
• Inverse design for the one-dimensional Burgers equation
• Touchdown localization for the MEMS problem with variable dielectric permittivity
• Analysis, numerics and control for the obstacle problem
• Sparse sources identification through adjoint localization algorithm
• Controllability of the one-dimensional fractional heat equation under positivity constraints
• A reaction-diffusion equation with delay
• The Dirichlet-Neumann iteration for two coupled heterogeneous heat equations
• LQR optimal control design for a coupled PDE-ODE system.
• Interior Control of the Heat Equation with the Steepest Descent Method and OpenFOAM
• Control of the semi-discrete 1D heat equation under nonnegative control constraint
• Greedy optimal control for elliptic problems and its application to turnpike problems
• LQR control of a fractional reaction diffusion equation
• IpOpt and AMPL use to solve time optimal control problems
• Greedy Control

Population Dynamics

• Numerical simulation of nonlinear Population Dynamics Structuring by age and Spatial diffusion
• Controllability of a Class of Infinite Dimensional Systems with Age Structure
• A numerical method for solving an age structured virus model
• LQR controller for stabilizing the linear population dynamics model
• Solving an optimal control problem arisen in ecology with AMPL

Collective Behavior

• Synchronized Oscillators
• 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

Schrödinger Equation

• WKB expansion for a fractional Schrödinger equation with applications to controllability

Burgers Equation

• POD and DMD Reduced Order Models for a 2D Burgers Equation
• Reconstruction of traffic state using autonomous vehicles
• Conservation laws in the presence of shocks
• Numerical aspects of LTHC of Burgers equation

Elliptic Equations

• Control of reaction-diffusion under state constraints - Barriers
• Finite Element approximation of the one-dimensional fractional Laplacian
• Structured deformations of continua
• 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
• Optimal Shape Design for Poisson Equation in Matlab
• Interior Control of the Poisson Equation with the Steepest Descent Method in OpenFOAM
• Optimal Control of the Poisson Equation with OpenFOAM

Wave Equation

• Opening the black box of Deep Learning
• Points of Interest Extraction and Prediction of Next Locations
• Propagation of one and two-dimensional discrete waves under finite difference approximation
• Two Grids Filter Method for RPS Semi-Discretization
• Wave Control

Dynamical Systems

• Multilevel Selective Harmonic Modulation via Optimal Control
• Simultaneous Control with DyCon Toolbox
• Stabilization of a double pendulum on a cart with DyCon Toolbox
• Rotors imbalance suppression by optimal control
• Riccati theory in LQ optimization with time-varying target
• An introduction to the moment method for optimal control problems for polynomial ODEs
• Optimal control for inverted pendulum
• Optimal control of a graph evolving in discrete time
• Averaged Control
• Turnpike property for functionals involving $L^1$−norm
• Long time control and the Turnpike property

Transport and Kinetic Equations

• An eulerian-lagrangian scheme for the problem of the inverse design of hyperbolic transport equations
• Coupled transport equations and LQR control
• Greedy algorithm for Parametric Vlasov-Fokker-Planck System
• Kolmogorov equation
• 2D inverse design of linear transport equations on unstructured grids