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pro vyhledávání: '"A Korda"'
We use moment-SOS (Sum Of Squares) relaxations to address the optimal control problem of the 1D heat equation perturbed with a nonlinear term. We extend the current framework of moment-based optimal control of PDEs to consider a quadratic cost on the
Externí odkaz:
http://arxiv.org/abs/2411.11528
This paper presents a method for calculating the Region of Attraction (ROA) of nonlinear dynamical systems, both with and without control. The ROA is determined by solving a hierarchy of semidefinite programs (SDPs) defined on a splitting of the time
Externí odkaz:
http://arxiv.org/abs/2409.11196
Autor:
Schuff, Jonas, Carballido, Miguel J., Kotzagiannidis, Madeleine, Calvo, Juan Carlos, Caselli, Marco, Rawling, Jacob, Craig, David L., van Straaten, Barnaby, Severin, Brandon, Fedele, Federico, Svab, Simon, Kwon, Pierre Chevalier, Eggli, Rafael S., Patlatiuk, Taras, Korda, Nathan, Zumbühl, Dominik, Ares, Natalia
Spanning over two decades, the study of qubits in semiconductors for quantum computing has yielded significant breakthroughs. However, the development of large-scale semiconductor quantum circuits is still limited by challenges in efficiently tuning
Externí odkaz:
http://arxiv.org/abs/2402.03931
Autor:
Bonnet-Weill, Benoît, Korda, Milan
In this paper, we introduce a new notion of Koopman operator which faithfully encodes the dynamics of controlled systems by leveraging the grammar of set-valued analysis. In this context, we propose meaningful generalisations of the Liouville and Per
Externí odkaz:
http://arxiv.org/abs/2401.11569
Any deterministic autonomous dynamical system may be globally linearized by its' Koopman operator. This object is typically infinite-dimensional and can be approximated by the so-called Dynamic Mode Decomposition (DMD). In DMD, the central idea is to
Externí odkaz:
http://arxiv.org/abs/2312.08278
Bias triangles represent features in stability diagrams of Quantum Dot (QD) devices, whose occurrence and property analysis are crucial indicators for spin physics. Nevertheless, challenges associated with quality and availability of data as well as
Externí odkaz:
http://arxiv.org/abs/2312.03110
We present an approach to construct approximate Koopman-type decompositions for dynamical systems depending on static or time-varying parameters. Our method simultaneously constructs an invariant subspace and a parametric family of projected Koopman
Externí odkaz:
http://arxiv.org/abs/2310.01124
Autor:
Timchenko, I. S., Deiev, O. S., Olejnik, S. N., Potin, S. M., Korda, L. P., Kushnir, V. A., Mytrochenko, V. V., Perezhogin, S. A., Herzáň, A.
The production of the $^{180\rm{m}}\rm{Hf}$ nuclei in the photoproton reaction ${^{181}\rm{Ta}}(\gamma,p)$ was studied at end-point bremsstrahlung energies $E_{\rm{\gamma max}}$ = 35-95 MeV. The experiment was performed at the electron linear acceler
Externí odkaz:
http://arxiv.org/abs/2308.10339
We address the problem of symmetry reduction of optimal control problems under the action of a finite group from a measure relaxation viewpoint. We propose a method based on the moment-SOS aka Lasserre hierarchy which allows one to significantly redu
Externí odkaz:
http://arxiv.org/abs/2307.03787
Publikováno v:
A&A 675, A50 (2023)
Context. Upcoming space missions will provide us with surface-resolved NEA reflectance spectra. Neural networks are useful tools for analysing reflectance spectra and determining material composition with high precision and low processing time. Aims.
Externí odkaz:
http://arxiv.org/abs/2305.05700