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We experimentally and theoretically study the thermodynamically optimal control of interacting multiple-particle systems, focusing on collections of colloidal particles individually confined in optical traps. We investigate protocols that…

Soft Condensed Matter · Physics 2026-03-19 Samuel Monter , Lars T. Stutzer , Sarah A. M. Loos , Clemens Bechinger

Motor control is a fundamental process that underlies all voluntary behavioral responses. Several different theories based on different principles (task dynamics, equilibrium-point theory, passive-motion paradigm, active inference, optimal…

Neurons and Cognition · Quantitative Biology 2021-07-20 Emmanuel Guigon

The realization of efficient micro-machines built from active matter requires precise thermodynamic control far from equilibrium. Despite theoretical progress, the focus on single-parameter driving, coupled with strict theoretical…

Soft Condensed Matter · Physics 2026-03-18 Luke K. Davis

We investigate how to minimize the work dissipated during nonequilibrium processes. To this end, we employ methods from linear response theory to describe slowly varying processes, i.e., processes operating within the linear regime around…

Statistical Mechanics · Physics 2014-07-03 Marcus V. S. Bonança , Sebastian Deffner

The essential distinction between the fundamental diagram approach and three-phase theory is the existence of the unique space-gap-speed relationship. In order to verify this relationship, empirical data are analyzed with the following…

Cellular Automata and Lattice Gases · Physics 2016-08-11 Jun-fang Tian , Martin Treiber , Bin Jia , Wen-yi Zhang

We introduce a minimization formulation for the determination of a finite-dimensional, time-dependent, orthonormal basis that captures directions of the phase space associated with transient instabilities. While these instabilities have…

Computational Physics · Physics 2016-04-27 Hessam Babaee , Themistoklis Sapsis

The minimum-time control problem consists in finding a control policy that will drive a given dynamic system from a given initial state to a given target state (or a set of states) as quickly as possible. This is a well-known challenging…

Systems and Control · Computer Science 2015-03-19 Laurent Bako , Dulin Chen , Stéphane Lecoeuche

In this article we formulate frictionless atom cooling in harmonic traps as a time-optimal control problem, permitting imaginary values of the trap frequency for trasient time intervals during which the trap becomes an expulsive parabolic…

Quantum Physics · Physics 2015-05-20 Dionisis Stefanatos , Justin Ruths , Jr-Shin Li

Braiding of Majorana zero modes provides a promising platform for quantum information processing, which is topologically protected against errors. Strictly speaking, however, the scheme relies on infinite braiding times as it utilizes the…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Torsten Karzig , Armin Rahmani , Felix von Oppen , Gil Refael

This paper presents a data-driven optimal control policy for a micro flapping wing unmanned aerial vehicle. First, a set of optimal trajectories are computed off-line based on a geometric formulation of dynamics that captures the nonlinear…

Robotics · Computer Science 2022-06-09 Tejaswi K. C. , Taeyoung Lee

The investigation of optimal processes has a long history in the field of thermodynamics. It is well known that finite-time processes that minimize dissipation often exhibit discontinuities. We use a combination of numerical and analytical…

Statistical Mechanics · Physics 2022-05-31 Ilana Bogod , Saar Rahav

In this paper we develop novel results on self triggering control of nonlinear systems, subject to perturbations and actuation delays. First, considering an unperturbed nonlinear system with bounded actuation delays, we provide conditions…

Optimization and Control · Mathematics 2011-08-29 M. D. Di Benedetto , S. Di Gennaro , A. D'Innocenzo

Optimal control of stochastic nonlinear dynamical systems is a major challenge in the domain of robot learning. Given the intractability of the global control problem, state-of-the-art algorithms focus on approximate sequential optimization…

Machine Learning · Computer Science 2020-04-23 Joe Watson , Hany Abdulsamad , Jan Peters

In this paper, we propose a unified stochastic optimal control framework that integrates time-optimal control problems with classical stochastic optimal control formulations. Unlike conventional deterministic time-optimal control models,…

Optimization and Control · Mathematics 2025-10-21 Shuzhen Yang

We consider a dynamical system with finitely many equilibria and perturbed by small noise, in addition to being controlled by an `expensive' control. The controlled process is optimal for an ergodic criterion with a running cost that…

Probability · Mathematics 2019-03-20 Ari Arapostathis , Anup Biswas , Vivek S. Borkar

We consider damped stochastic systems in a controlled (time-varying) quadratic potential and study their transition between specified Gibbs-equilibria states in finite time. By the second law of thermodynamics, the minimum amount of work…

Statistical Mechanics · Physics 2018-03-23 Yongxin Chen , Tryphon Georgiou , Allen Tannenbaum

Trajectory planning in automated driving typically focuses on satisfying safety and comfort requirements within the vehicle's onboard sensor range. This paper introduces a method that leverages anticipatory road data, such as speed limits,…

Systems and Control · Electrical Eng. & Systems 2024-06-26 Andres Alvarez Prado , Vladislav Nenchev , Christian Rathgeber

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

Non-universal dynamics is shown to occur in a one-dimensional non-equilibrium system of hard-core particles. The stochastic processes included are pair creation and annihilation (with rates e and e') and symmetric hopping rates which…

Statistical Mechanics · Physics 2009-10-31 R. B. Stinchcombe , J. E. Santos , M. D. Grynberg

Landauer's formula is the standard theoretical tool to examine ballistic transport in nano- and meso-scale junctions, but it necessitates that any variation of the junction with time must be slow compared to characteristic times of the…

Mesoscale and Nanoscale Physics · Physics 2016-04-25 Daniel Gruss , Kirill A. Velizhanin , Michael Zwolak