This minisymposium is dedicated to control and optimization problems involving models governed by differential equations. This includes problems governed by both partial and ordinary differential equations, with and without uncertainty, covering topics such as the well-posedness of complex systems, nonsmooth optimization, robust control, feedback stabilization, and continuous data assimilation problems. The core purpose is to promote a discussion on recent results concerning several methodologies, such as machine learning and model predictive control, from both theoretical and numerical perspectives.
Mini symposium organizers:
Behzad Azmi (Universität Konstanz)
Sergio S. Rodrigues (Johann Radon Institute for Computational and Applied Mathematics (RICAM) of the Austrian Academy of Sciences)

Session 2. Room A4, Wednesday 11:30-13:30.
Chair: Behzad Azmi (Universität Konstanz)
Speakers:
Fernanda Cipriano (NOVA University of Lisbon) Optimal control of third grade fluids with multiplicative noise
Jan Bartsch (Universität Konstanz) On the stabilization of a kinetic model by feedback-like control fields in a Monte Carlo framework
Tobias Sutter (Universität Konstanz) Policy gradient algorithms for robust MDPs with non-rectangular uncertainty sets
Philipp Guth (Johann Radon Institute for Computational and Applied Mathematics (RICAM) of the Austrian Academy of Sciences) A robust tracking feedback control of linear dynamical systems with uncertain parameters

Session 3. Room A4, Wednesday 17:30-19:30.
Chair: Behzad Azmi (Universität Konstanz)
Speakers:
Dante Kalise (Imperial College London) Deflation and stabilization for McKean-Vlasov PDEs
Jan Rohleff (Universität Konstanz) MOR based RHC for stabilization of time-varying linear parabolic PDEs
Arthur Bottois (L2S CentraleSupélec & INRIA Saclay-Île-de-France) Sensitivity analysis and optimal control for the Chemical Master Equation
Laurent Pfeiffer (Université Paris Saclay) A mesh-independent method for second-order potential mean field games

Session 4. Room A4, Thursday 11:30-13:30.
Chair: Sergio S. Rodrigues (Johann Radon Institute for Computational and Applied Mathematics (RICAM) of the Austrian Academy of Sciences)
Speakers:
Jorge Tiago (Instituto Superior Técnico, Technical University of Lisbon) Some advances in variational approaches for data assimilation in hemodynamics
Jesper Schröder (Technische Universität Berlin) On the well-posedness of an energy-optimal state observer for a defocusing cubic wave equation
Hannes Meinlschmidt (FAU Erlangen-Nürnberg) Including gradients in optimal control of quasilinear parabolic equations
Buddhika Priyasad (Universität Konstanz) Maximal $L^p$-regularity for an abstract evolution equation with applications to closed-loop boundary feedback control problems

Session 5. Room A4, Thursday 17:30-19:30.
Chair: Sergio S. Rodrigues (Johann Radon Institute for Computational and Applied Mathematics (RICAM) of the Austrian Academy of Sciences)
Speakers:
Donato Vasquez (Johann Radon Institute for Computational and Applied Mathematics (RICAM) of the Austrian Academy of Sciences) Approximately optimal smooth feedback laws for non-differentiable value function using machine learning techniques
Sébastien Court (Leopold-Franzens-Universität Innsbruck) Design of the monodomain model with artificial neural networks
Daniel Walter (Humboldt-Universität zu Berlin) Conditional gradient methods for total variation regularization with PDE constraints