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We consider the problem of mass transport cloaking using mobile robots. The robots move along a predefined curve that encloses a safe zone and carry sources that collectively counteract a chemical agent released in the environment. The goal…

Robotics · Computer Science 2020-03-10 Reza Khodayi-mehr , Michael M. Zavlanos

Steering a system towards a desired target in a very short amount of time is challenging from a computational standpoint. Indeed, the intrinsically iterative nature of optimal control problems requires multiple simulations of the physical…

Optimization and Control · Mathematics 2025-05-16 Matteo Tomasetto , Andrea Manzoni , Francesco Braghin

A heat exchanger can be modeled as a closed domain containing an incompressible fluid. The moving fluid has a temperature distribution obeying the advection-diffusion equation, with zero temperature boundary conditions at the walls.…

Fluid Dynamics · Physics 2018-02-23 Florence Marcotte , Charles R. Doering , Jean-Luc Thiffeault , William R. Young

Optimization plays a significant role in many areas of science and technology. Most of the industrial optimization problems have inordinately complex structures that render finding their global minima a daunting task. Therefore, designing…

Disordered Systems and Neural Networks · Physics 2021-09-09 Amin Barzegar , Anuj Kankani , Salvatore Mandrà , Helmut G. Katzgraber

We establish a finite-time external field-driven quantum tricycle model. Within the framework of slow driving perturbation, the perturbation expansion of heat in powers of time can be derived during the heat exchange processes. Employing…

Quantum Physics · Physics 2024-07-04 Jingyi Chen , Shihao Xia , Jincan Chen , Shanhe Su

By controlling in real-time the variance of the radiation pressure exerted on an optically trapped microsphere, we engineer temperature protocols that shortcut thermal relaxation when transferring the microsphere from one thermal…

Advances in experimental techniques enable the precise manipulation of a large variety of active systems, which constantly dissipate energy to sustain nonequilibrium phenomena without any equilibrium equivalent. To design novel materials…

Statistical Mechanics · Physics 2025-06-03 Artur Soriani , Elsen Tjhung , Étienne Fodor , Tomer Markovich

In this contribution we propose reduced order methods to fast and reliably solve parametrized optimal control problems governed by time dependent nonlinear partial differential equations. Our goal is to provide a tool to deal with the time…

Numerical Analysis · Mathematics 2023-08-08 Francesco Ballarin , Gianluigi Rozza , Maria Strazzullo

We study optimal control of diffusions with slow and fast variables and address a question raised by practitioners: is it possible to first eliminate the fast variables before solving the optimal control problem and then use the optimal…

Optimization and Control · Mathematics 2014-06-16 Wei Zhang , Juan C. Latorre , Grigorios A. Pavliotis , Carsten Hartmann

In this paper, we develop an optimization-based systematic approach for the challenging, less studied, and important problem of optimal partitioning of multi-thermal zone buildings for the decentralized control. The proposed method consists…

Systems and Control · Electrical Eng. & Systems 2020-06-12 E. Atam , E. C. Kerrigan

This paper explores the concept of near-cloaking in the context of time-dependent heat propagation. We show that after the lapse of a certain threshold time instance, the boundary measurements for the homogeneous heat equation are close to…

Analysis of PDEs · Mathematics 2017-12-18 Richard Craster , Sebastien Guenneau , Harsha Hutridurga , Grigorios Pavliotis

This paper studies the automated control method for regulating air conditioner (AC) loads in incentive-based residential demand response (DR). The critical challenge is that the customer responses to load adjustment are uncertain and…

Systems and Control · Electrical Eng. & Systems 2021-06-15 Xin Chen , Yingying Li , Jun Shimada , Na Li

The 4th generation of district heating systems face a potential problem where lowered water temperatures lead to higher flow rates, which requires higher hydraulic capacity in terms of pipe and pump sizes. This increases the effect of the…

Systems and Control · Electrical Eng. & Systems 2022-11-22 Felix Agner , Pauline Kergus , Richard Pates , Anders Rantzer

In this paper, we develop a general mathematical framework for perfect and approximate hydrodynamic cloaking and shielding of electro-osmotic flow, which is governed by a coupled PDE system via the field-effect electro-osmosis. We first…

Analysis of PDEs · Mathematics 2023-02-16 Hongyu Liu , Zhi-Qiang Miao , Guang-Hui Zheng

We propose an optimal operation control strategy for an electro-thermal microgrid. Compared to existing work, our approach increases flexibility by operating the thermal network with variable flow temperatures and in that way explicitly…

Systems and Control · Electrical Eng. & Systems 2024-04-03 Max Rose , Christian A. Hans , Johannes Schiffer

Simulated annealing is an effective and general means of optimization. It is in fact inspired by metallurgy, where the temperature of a material determines its behavior in thermodynamics. Likewise, in simulated annealing, the actions that…

Machine Learning · Computer Science 2020-07-01 Avrim Blum , Chen Dan , Saeed Seddighin

Optimal control of thermostatically controlled loads connected to a district heating network is considered a sequential decision- making problem under uncertainty. The practicality of a direct model-based approach is compromised by two…

Systems and Control · Computer Science 2017-02-27 Bert J. Claessens , Dirk Vanhoudt , Johan Desmedt , Frederik Ruelens

We present an active cloaking method for the parabolic heat (and mass or light diffusion) equation that can hide both objects and sources. By active we mean that it relies on designing monopole and dipole heat source distributions on the…

Analysis of PDEs · Mathematics 2021-06-09 Maxence Cassier , Trent DeGiovanni , Sébastien Guenneau , Fernando Guevara Vasquez

Recent research has uncovered a remarkable ability to manipulate and control electromagnetic fields to produce effects such as perfect imaging and spatial cloaking. To achieve spatial cloaking, the index of refraction is manipulated to flow…

We develop an optimization-based approach to the problem of reconstructing temperature-dependent material properties in complex thermo-fluid systems described by the equations for the conservation of mass, momentum and energy. Our goal is…

Fluid Dynamics · Physics 2013-04-11 Vladislav Bukshtynov , Bartosz Protas