Postdoctoral Researcher
Funded by Alexander von Humboldt Stiftung/Foundation
alberto.corella@fau.de
Room 03.363 | Friedrich-Alexander-Universität Erlangen-Nürnberg. FAU DCN-AvH Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship.
+49 9131 85-67127
I am Alberto and I am a mathematician. I just recently obtained my PhD from the Vienna School of Mathematics, a joint program between the University of Vienna and the Technical University of Vienna.
I have now an Alexander von Humboldt research fellowship and I am a postdoctoral researcher at the Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt-Professorship.
My current research interests can be condensed into four areas: Optimization, Variational Analyisis, Probability and Control.
I enjoy working with other mathematicians and scientists as well as exchanging points of view about the nature of Mathematics.
PhD Thesis: Metric Regularity in Model Predictive and Optimal Control (November 2022)
Events
• October 7-10, 2024 CIN-PDE 2024 Poster presentation. Conference on Control, Inversion and Numerics for PDEs. Fudan University, Shanghai
• FAU DCN-AvH Workshop (July 17, 2023) Stability and genericity in affine optimal control.
Publications
2025
Mini-batch descent in semiflows
(2025)
BibTeX: Download , :
2024
Stability analysis of the Navier-Stokes velocity tracking problem with bang-bang controls
(2024)
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Stability analysis of the Navier–Stokes velocity tracking problem with bang-bang controls
In: Journal of Optimization Theory and Applications (2024)
ISSN: 0022-3239
DOI: 10.1007/s10957-024-02413-6
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Stability and genericity of bang-bang controls in affine problems
In: SIAM Journal on Control and Optimization (2024)
ISSN: 0363-0129
DOI: 10.48550/arXiv.2307.05418
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Stability and Genericity of Bang-Bang Controls in Affine Problems
In: SIAM Journal on Control and Optimization 62 (2024), p. 1669-1689
ISSN: 0363-0129
DOI: 10.1137/23M1586446
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2023
New Assumptions for Stability Analysis in Elliptic Optimal Control Problems
In: SIAM Journal on Control and Optimization 61 (2023), p. 1394-1414
ISSN: 0363-0129
DOI: 10.1137/22M149199X
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On the solution stability of parabolic optimal control problems
In: Computational Optimization and Applications (2023)
ISSN: 0926-6003
DOI: 10.1007/s10589-023-00473-4
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2022
Hölder regularity in bang-bang type affine optimal control problems
In: Large-scale scientific computing 2022
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On the accuracy of the model predictive control method
In: SIAM Journal on Control and Optimization 60 (2022), p. 2469--2487
ISSN: 0363-0129
DOI: 10.1137/21M1460430
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Stability in affine optimal control problems constrained by semilinear elliptic partial differential equations
In: Esaim-Control Optimisation and Calculus of Variations 28 (2022), p. Paper No. 79, 30
ISSN: 1262-3377
DOI: 10.1051/cocv/2022075
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2021
Strong bi-metric regularity in affine optimal control problems
In: Pure and Applied Functional Analysis 6 (2021), p. 1119--1137
ISSN: 2189-3764
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2019
The maximum principle for discrete-time control systems and applications to dynamic games
In: Journal of Mathematical Analysis and Applications 475 (2019), p. 253--277
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2019.02.038
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