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The role of the Coulomb potential of the atomic core for creation of caustics in the photoelectron momentum distribution for tunneling ionization in a linearly polarized strong laser field, usually termed as Coulomb focusing, is…

Atomic Physics · Physics 2018-06-20 Jiří Daněk , Karen Z. Hatsagortsyan , Christoph H. Keitel

This study presents autonomous guidance and control strategies for the purpose of reconfiguring close-range multi-satellite formations. The formation under consideration includes $N$ under-actuated deputy satellites and an uncontrolled…

Systems and Control · Electrical Eng. & Systems 2024-12-31 Ahmed Mahfouz , Gabriella Gaias , Florio Dalla Vedova , Holger Voos

Platooning has been exploited as a method for vehicles to minimize energy consumption. In this article, we present a constraint-driven optimal control framework that yields emergent platooning behavior for connected and automated vehicles…

Robotics · Computer Science 2021-12-20 Logan E. Beaver , Andreas A. Malikopoulos

Recent low-thrust space missions have highlighted the importance of designing trajectories that are robust against uncertainties. In its complete form, this process is formulated as a nonlinear constrained stochastic optimal control…

Optimization and Control · Mathematics 2022-02-25 Naoya Ozaki , Stefano Campagnola , Ryu Funase

This paper presents a distributed method for robots moving in rigid formations while ensuring probabilistic collision avoidance between the robots. The formation is parametrised through the transformation of a base configuration. The robots…

Robotics · Computer Science 2024-08-28 Jeppe Heini Mikkelsen , Vit Kratky , Roberto Galeazzi , Martin Saska , Matteo Fumagalli

The problem of how to coordinate a large fleet of trucks with given itinerary to enable fuel-efficient platooning is considered. Platooning is a promising technology that enables trucks to save significant amounts of fuel by driving close…

Systems and Control · Computer Science 2017-05-01 Sebastian van de Hoef , Karl H. Johansson , Dimos V. Dimarogonas

An optimal control based methodology is proposed for minimising the combustible fuel consumption of a hybrid vehicle equipped with an internal combustion engine, a high-speed flywheel and a battery. The three-dimensionality of the road is…

Optimization and Control · Mathematics 2017-08-08 Mehdi Imani Masouleh , David J. N. Limebeer

Efficient performance of a number of engineering systems is achieved through different modes of operation - yielding systems described as "hybrid", containing both real-valued and discrete decision variables. Prominent examples of such…

Optimization and Control · Mathematics 2019-10-22 Ehsan Taheri , John L. Junkins , Ilya Kolmanovsky , Anouck Girard

This paper presents a hybrid approach that integrates trajectory optimization (TO) and reinforcement learning (RL) for motion planning and control of free-flying multi-arm robots in on-orbit servicing scenarios. The proposed system…

The collision avoidance constraints are prominent as non-convex, non-differentiable, and challenging when defined in optimization-based motion planning problems. To overcome these issues, this paper presents a novel non-conservative…

Robotics · Computer Science 2024-04-16 Siavash Tavana , Sepideh Faghihi , Anton de Ruiter , Krishna Dev Kumar

The goal of the present paper is to make a numerical analysis of parametric optimization of low thrust orbital maneuver. An orbital maneuver occurs when it is necessary to modify the orbit a space vehicle to change its function or to…

Earth and Planetary Astrophysics · Physics 2023-07-14 Antonio Fernando Bertachini de Almeida Prado

This paper presents a computationally efficient model predictive control formulation that uses an integral Chebyshev collocation method to enable rapid operations of autonomous agents. By posing the finite-horizon optimal control problem…

Robotics · Computer Science 2025-03-26 Deep Parikh , Thomas L. Ahrens , Manoranjan Majji

In this paper, we present a numerical method, based on iterative Bregman projections, to solve the optimal transport problem with Coulomb cost. This is related to the strong interaction limit of Density Functional Theory. The first idea is…

Numerical Analysis · Mathematics 2015-05-11 Jean-David Benamou , Guillaume Carlier , Luca Nenna

In this paper, we consider the problem of minimum-time optimal control for a dynamical system with initial state uncertainties and propose a sequential convex programming (SCP) solution framework. We seek to minimize the expected terminal…

Optimization and Control · Mathematics 2024-09-17 Kazuya Echigo , Abhishek Cauligi , Behçet Açıkmeşe

Arrays of semiconductor quantum dots provide a powerful platform to design correlated quantum matter from the bottom up. We establish a predictive framework for engineering local electron pairing in these artificial molecules by…

Strongly Correlated Electrons · Physics 2025-10-31 Shivanshu Dwivedi , Kalum Palandage

The role of the Coulomb potential on the generation of elliptically polarized high-order harmonics from atoms driven by elliptically polarized laser is investigated analytically. It is found that the Coulomb effect makes a contribution to…

Atomic Physics · Physics 2013-03-05 Xiaosong Zhu , Meiyan Qin , Qingbin Zhang , Weiyi Hong , Zhizhan Xu , Peixiang Lu

Matrix mechanics is developed to describe the bound state spectra in few- and many-electron atoms, ions and molecules. Our method is based on the matrix factorization of many-electron (or many-particle) Coulomb Hamiltonians which are…

Quantum Physics · Physics 2018-04-04 Alexei M Frolov

This paper proposes an algorithmic technique for a class of optimal control problems where it is easy to compute a pointwise minimizer of the Hamiltonian associated with every applied control. The algorithm operates in the space of relaxed…

Optimization and Control · Mathematics 2016-03-10 M. T. Hale , Y. Wardi , H. Jaleel , M. Egerstedt

Complex engineering problems can be modelled as optimisation problems. For instance, optimising engines, materials, components, structure, aerodynamics, navigation, control, logistics, and planning is essential in aerospace. Metaheuristics…

Neural and Evolutionary Computing · Computer Science 2024-11-06 Carlos Alberto da Silva Junior , Marconi de Arruda Pereira , Angelo Passaro

We consider stochastic model predictive control of a multi-agent systems with constraints on the probabilities of inter-agent collisions. We first study a sample-based approximation of the collision probabilities and use this approximation…

Systems and Control · Computer Science 2011-08-17 Daniel Lyons , Jan-P. Calliess , Uwe D. Hanebeck
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