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We study the interplay between rotating wave approximation and optimal control. In particular, we show that for a wide class of optimal control problems one can choose the control field such that the Hamiltonian becomes time-independent…

Quantum Physics · Physics 2016-03-21 Maximilian Keck , Matthias M. Müller , Tommaso Calarco , Simone Montangero

Flow control aims at modifying a natural flow state to reach an other flow state considered as advantageous. In this paper, active feedback flow separation control is investigated with two different closed-loop control strategies, involving…

Systems and Control · Electrical Eng. & Systems 2023-09-22 T. Arnoult , G. Acher , V. Nowinski , P. Vuillemin , C. Briat , P. Pernod , C. Ghouila-Houri , A. Talbi , E. Garnier , C. Poussot-Vassal

Active flow control for drag reduction with reinforcement learning (RL) is performed in the wake of a 2D square bluff body at laminar regimes with vortex shedding. Controllers parameterised by neural networks are trained to drive two…

Fluid Dynamics · Physics 2024-01-17 Chengwei Xia , Junjie Zhang , Eric C. Kerrigan , Georgios Rigas

We present a complete analysis of the laser control of a model molecular system using both optimal control theory and adiabatic techniques. This molecule has a particular potential energy surface with a bifurcating region connecting three…

Quantum Physics · Physics 2007-09-19 D. Sugny , C. Kontz , M. Ndong , G. Dive , M. Desouter-Lecomte

We propose a travelling-wave perturbation method to control the spatiotemporal dynamics in a cardiac model. It is numerically demonstrated that the method can successfully suppress the wave instability (alternans in action potential…

Tissues and Organs · Quantitative Biology 2009-11-10 Peng-Ye Wang , Ping Xie , Hua-Wei Yin

Finding minimal time and establishing the structure of the corresponding optimal controls which can transfer a given initial state of a quantum system into a given target state is a key problem of quantum control. In this work, this problem…

Quantum Physics · Physics 2025-02-21 L. V. Lokutsievskiy , A. N. Pechen , M. I. Zelikin

We present a systematic approach for determining the optimal actuator location for separation control from input-output response data, gathered from numerical simulations or physical experiments. The Eigensystem Realization Algorithm is…

Fluid Dynamics · Physics 2020-05-20 Debraj Bhattacharjee , Bjoern Klose , Gustaaf B. Jacobs , Maziar S. Hemati

Spatiotemporal control encompasses a variety of techniques for producing laser pulses with dynamic intensity peaks that move independently of the group velocity. This controlled motion of the intensity peak offers a new approach to…

Plasma Physics · Physics 2023-12-20 D. Li , K. G. Miller , J. R. Pierce , W. B. Mori , A. G. R. Thomas , J. P. Palastro

Stabilizing plasma dynamics through externally applied electric and magnetic fields is a fundamental control problem. We study this question for a plasma evolving under a uniform external magnetic field. Although the governing dynamics are…

Plasma Physics · Physics 2026-03-18 Peiyi Chen , Rogerio Jorge , Qin Li , Yukun Yue

This paper presents a new fast and robust algorithm that provides fuel-optimal impulsive control input sequences that drive a linear time-variant system to a desired state at a specified time. This algorithm is applicable to a broad class…

Optimization and Control · Mathematics 2020-10-06 Adam W. Koenig , Simone D'Amico

Biological molecular machines convert free energy between different forms in cells, often at high efficiency. Optimal control theory provides a framework to elucidate design principles governing energetically efficient driving. Here, we use…

Biological Physics · Physics 2025-06-12 W. Callum Wareham , David A. Sivak

The time evolution of a collisionless plasma is modeled by the relativistic Vlasov-Maxwell system which couples the Vlasov equation (the transport equation) with the Maxwell equations of electrodynamics. We consider the case that the plasma…

Mathematical Physics · Physics 2020-07-03 Jörg Weber

This article gives an overview of the developments in controlled diffusion processes, emphasizing key results regarding existence of optimal controls and their characterization via dynamic programming for a variety of cost criteria and…

Probability · Mathematics 2007-05-23 Vivek S. Borkar

The naive application of Reinforcement Learning algorithms to continuous control problems -- such as locomotion and manipulation -- often results in policies which rely on high-amplitude, high-frequency control signals, known colloquially…

Robotics · Computer Science 2019-02-14 Steven Bohez , Abbas Abdolmaleki , Michael Neunert , Jonas Buchli , Nicolas Heess , Raia Hadsell

A solution to the optimal problem for determining vector fields which maximize (resp. minimize) the transition probabilities from one location to another for a class of reflecting diffusion processes is obtained in the present paper. The…

Probability · Mathematics 2023-04-27 Zhongmin Qian , Xingcheng Xu

We apply the theory of optimal control to the dynamics of two "gmon" qubits, with the goal of preparing a desired entangled ground state from an initial unentangled one. Given an initial state, a target state, and a Hamiltonian with a set…

Quantum Physics · Physics 2018-07-02 Seraph Bao , Silken Kleer , Ruoyu Wang , Armin Rahmani

We consider a novel approach for the enhancement of fluid mixing via pure stirring strategies building upon the Least Action Principle (LAP) for incompressible flows. The LAP is formally analogous to the Benamou--Brenier formulation of…

Optimization and Control · Mathematics 2026-01-21 Weiwei Hu , Ming-Jun Lai , Hao-Ning Wu

We consider an optimal control problem for a single-spot pulsed laser welding problem. The distribution of thermal energy is described by a quasilinear heat equation. Our emphasis is on materials which tend to suffer from hot cracking, such…

Optimization and Control · Mathematics 2022-04-06 Roland Herzog , Dmytro Strelnikov

Diffusion can be strongly affected by ballistic flights (long jumps) as well as long-lived sticking trajectories (long sticks). Using statistical inference techniques in the spirit of Granger causality, we investigate the appearance of long…

Statistical Mechanics · Physics 2014-12-02 S. Hallerberg , A. S. de Wijn

The double quantum dot device benefits from the advantages of both the spin and charge qubits, while offering ways to mitigate their drawbacks. Careful gate voltage modulation can grant greater spinlike or chargelike dynamics to the device,…

Mesoscale and Nanoscale Physics · Physics 2022-08-12 Vincent Reiher , Yves Bérubé-Lauzière
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