Differentiable predictive control: Deep learning alternative to explicit model predictive control for unknown nonlinear systems

J Drgoňa, K Kiš, A Tuor, D Vrabie, M Klaučo - Journal of Process Control, 2022 - Elsevier
We present differentiable predictive control (DPC) as a deep learning-based alternative to
the explicit model predictive control (MPC) for unknown nonlinear systems. In the DPC …

New Quantum Estimates of Trapezium-Type Inequalities for Generalized ϕ-Convex Functions

MJ Vivas-Cortez, R Liko, A Kashuri… - Mathematics, 2019 - mdpi.com
In this paper, a quantum trapezium-type inequality using a new class of function, the so-
called generalized ϕ-convex function, is presented. A new quantum trapezium-type …

Eingebettete Optimierung in der Regelungstechnik–Grundlagen und Herausforderungen

R Findeisen, K Graichen… - at …, 2018 - degruyter.com
Die effiziente Lösung von Optimierungsproblemen in Echtzeit bildet die Grundlage vieler
moderner Regelungs-und Schätzverfahren. So basieren die prädiktive Regelung sowie die …

Quantum Estimates of Ostrowski Inequalities for Generalized ϕ-Convex Functions

MJ Vivas-Cortez, A Kashuri, R Liko, JEH Hernández - Symmetry, 2019 - mdpi.com
In this paper, the study is focused on the quantum estimates of Ostrowski type inequalities
for q-differentiable functions involving the special function introduced by RK Raina which …

Complexity reduction in explicit MPC: A reachability approach

M Kvasnica, P Bakaráč, M Klaučo - Systems & Control Letters, 2019 - Elsevier
We propose to reduce the complexity of explicit MPC controllers by removing regions that
will never be reached during the closed-loop evolution from a given set of initial conditions …

On solution functions of optimization: Universal approximation and covering number bounds

M Jin, V Khattar, H Kaushik, B Sel, R Jia - Proceedings of the AAAI …, 2023 - ojs.aaai.org
We study the expressibility and learnability of solution functions of convex optimization and
their multi-layer architectural extension. The main results are:(1) the class of solution …

Quantum Trapezium-Type Inequalities Using Generalized ϕ-Convex Functions

MJ Vivas-Cortez, A Kashuri, R Liko, JE Hernández - Axioms, 2020 - mdpi.com
In this work, a study is conducted on the Hermite–Hadamard inequality using a class of
generalized convex functions that involves a generalized and parametrized class of special …

Equivariant cosheaves and finite group representations in graphic statics

Z Cooperband, M Lopez, B Schulze - arXiv preprint arXiv:2401.09392, 2024 - arxiv.org
This work extends the theory of reciprocal diagrams in graphic statics to frameworks that are
invariant under finite group actions by utilizing the homology and representation theory of …

A differential approach to Maxwell-Cremona liftings

O Karpenkov, F Mohammadi, C Müller… - arXiv preprint arXiv …, 2023 - arxiv.org
In 1864, JC Maxwell introduced a link between self-stressed frameworks in the plane and
piecewise linear liftings to 3-space. This connection has found numerous applications in …

Constructive solution of inverse parametric linear/quadratic programming problems

NA Nguyen, S Olaru, P Rodriguez-Ayerbe… - Journal of Optimization …, 2017 - Springer
Parametric convex programming has received a lot of attention, since it has many
applications in chemical engineering, control engineering, signal processing, etc. Further …