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The task of finding optimal protocols that minimize the energetic cost of thermodynamic processes of long yet finite duration $\tau$ is a pressing one. We approach this problem here in a rigorous and systematic fashion by means of the…

Statistical Mechanics · Physics 2022-11-28 Artur Soriani , Eduardo Miranda , Marcus V. S. Bonança

Optimal (reversible) processes in thermodynamics can be modelled as step-by-step processes, where the system is successively thermalized with respect to different Hamiltonians by an external thermal bath. However, in practice interactions…

Shortcut schemes can accelerate quasi-static processes in passive systems by adding auxiliary controls to realize swift transitions between equilibrium states. In active systems, however, inherently directed motion driven by free energy…

Statistical Mechanics · Physics 2026-04-08 Guodong Cheng , Z. C. Tu , Geng Li

Thermodynamics serves as a universal means for studying physical systems from an energy perspective. In recent years, with the establishment of the field of stochastic and quantum thermodynamics, the ideas of thermodynamics have been…

Statistical Mechanics · Physics 2023-02-07 Tan Van Vu , Keiji Saito

Trajectory optimization and model predictive control are essential techniques underpinning advanced robotic applications, ranging from autonomous driving to full-body humanoid control. State-of-the-art algorithms have focused on data-driven…

Systems and Control · Electrical Eng. & Systems 2021-11-15 Hany Abdulsamad , Tim Dorau , Boris Belousov , Jia-Jie Zhu , Jan Peters

Nonequilibrium statistical models of point vortex systems are constructed using an optimal closure method, and these models are employed to approximate the relaxation toward equilibrium of systems governed by the two-dimensional Euler…

Fluid Dynamics · Physics 2018-12-26 Jonathan Maack , Bruce Turkington

This paper proposes a data-driven control framework to regulate an unknown, stochastic linear dynamical system to the solution of a (stochastic) convex optimization problem. Despite the centrality of this problem, most of the available…

Optimization and Control · Mathematics 2021-08-31 Gianluca Bianchin , Miguel Vaquero , Jorge Cortes , Emiliano Dall'Anese

This paper introduces a framework to systematically optimize the control and design of an electric vehicle transmission, connecting powertrain sizing studies to detailed gearbox design methods. To this end, we first create analytical models…

Systems and Control · Electrical Eng. & Systems 2022-10-31 Olaf Borsboom , Thijs de Mooy , Mauro Salazar , Theo Hofman

We discuss the relevance of geometric concepts in the theory of stochastic differential equations for applications to the theory of non-equilibrium thermodynamics of small systems. In particular, we show how the Eells-Elworthy-Malliavin…

Statistical Mechanics · Physics 2015-06-11 Paolo Muratore-Ginanneschi

We apply advanced methods of control theory to open quantum systems and we determine finite-time processes which are optimal with respect to thermodynamic performances. General properties and necessary conditions characterizing optimal…

Quantum Physics · Physics 2018-08-01 Vasco Cavina , Andrea Mari , Alberto Carlini , Vittorio Giovannetti

Active matter generates order or patterns through nonequilibrium dynamics. An open research challenge is to determine how efficiently a nonequilibrium self-organising system can convert consumed energy into macroscopic order. We study an…

Adaptation and Self-Organizing Systems · Physics 2026-05-07 Qianyang Chen , Mikhail Prokopenko

Free energy landscapes encode the kinetics, intermediates, and transition states that govern molecular processes and are thus a key target of single biomolecule research. Typical approaches to deriving optimal, error-minimizing,…

Biological Physics · Physics 2025-11-25 Oliver Cheng , Zosia Adamska , Michael P. Brenner , Megan C. Engel

This paper describes an optimization framework to control a distributed parameter system (DPS) using a team of mobile actuators. The framework simultaneously seeks optimal control of the DPS and optimal guidance of the mobile actuators such…

Optimization and Control · Mathematics 2021-09-23 Sheng Cheng , Derek A. Paley

The tradeoff relation between speed and cost is a central issue in designing fast and efficient information processing devices. We derive an achievable bound on thermodynamic cost for obtaining information through finite-time…

Statistical Mechanics · Physics 2024-05-16 Rihito Nagase , Takahiro Sagawa

Stochastic thermodynamics lays down a broad framework to revisit the venerable concepts of heat, work and entropy production for individual stochastic trajectories of mesoscopic systems. Remarkably, this approach, relying on stochastic…

Statistical Mechanics · Physics 2023-01-31 David Guéry-Odelin , Christopher Jarzynski , Carlos A. Plata , Antonio Prados , Emmanuel Trizac

We study the tracking of a trajectory for a nonholonomic system by recasting the problem as a constrained optimal control problem. The cost function is chosen to minimize the error in positions and velocities between the trajectory of a…

Optimization and Control · Mathematics 2020-01-29 Leonardo J. Colombo , David Martín de Diego , Aradhana Nayak , Rodrigo T. Sato Martín de Almagro

Linearized models of power systems are often desirable to formulate tractable control and optimization problems that still reflect real-world physics adequately under various operating conditions. In this paper, we propose an approach that…

Optimization and Control · Mathematics 2018-05-28 Marc Hohmann , Joseph Warrington , John Lygeros

Many real-world control systems, such as the smart grid and human sensorimotor control systems, have decentralized components that react quickly using local information and centralized components that react slowly using a more global view.…

Optimization and Control · Mathematics 2017-11-15 Gautam Goel , Niangjun Chen , Adam Wierman

Motivated by the need for precise, energy-efficient, and experimentally realistic quantum control protocols, we investigate the thermodynamic cost of performing quantum step-equilibration processes under the influence of classical…

Quantum Physics · Physics 2026-05-07 Theodore McKeever , Harry J. D. Miller , Ahsan Nazir

We investigate a stochastic heat engine based on an over-damped particle diffusing on the positive real axis in an externally driven time-periodic log-harmonic potential. The periodic driving is composed of two isothermal and two adiabatic…

Statistical Mechanics · Physics 2014-05-28 Viktor Holubec
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