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In this paper we describe a numerical framework for achieving passive thermal cloaking of arbitrary shapes in both static and transient regimes. The design strategy is cast as the solution of an optimal control problem (OCP) for the heat…

Optimization and Control · Mathematics 2024-06-11 Riccardo Saporiti , Carlo Sinigaglia , Andrea Manzoni , Francesco Braghin

Inverse problems associated with designing cylindrical thermal cloaking shells are studied. Using the optimization method these inverse problems are reduced to corresponding control problems in which the diagonal components of diagonal in…

Classical Physics · Physics 2018-08-07 Gennady Alekseev , Dmitry Tereshko

In this paper, we design real-time decentralized and distributed control schemes for Heating Ventilation and Air Conditioning (HVAC) systems in energy efficient buildings. The control schemes balance user comfort and energy saving, and are…

Systems and Control · Computer Science 2017-02-14 Xuan Zhang , Wenbo Shi , Bin Yan , Ali Malkawi , Na Li

Analyzing data centers with thermal-aware optimization techniques is a viable approach to reduce energy consumption of data centers. By taking into account thermal consequences of job placements among the servers of a data center, it is…

Systems and Control · Computer Science 2016-11-03 Tobias Van Damme , Claudio De Persis , Pietro Tesi

Efficiency, comfort, and convenience are three major aspects in the design of control systems for residential Heating, Ventilation, and Air Conditioning (HVAC) units. In this paper we propose an optimization-based algorithm for HVAC control…

Optimization and Control · Mathematics 2016-05-03 Runxin He , Humberto Gonzalez

We study the optimal control of district heating networks using a reduced order model based on a system theoretic description close to the underlying Euler equations. In the presented scenarios, the central task is to limit the maximal…

Optimization and Control · Mathematics 2019-07-12 Markus Rein , Jan Mohring , Tobias Damm , Axel Klar

Efficiently enhancing heat conduction through optimized distribution of a limited quantity of high thermal conductivity material is paramount in cooling electronic devices and numerous other applications. This paper introduces a…

Computational Engineering, Finance, and Science · Computer Science 2024-05-24 Bo Zhang , Chi Zhang , Xiangyu Hu

We propose a realization of a transformation-based acoustic temporal cloak using an active closed-loop control approach to an equivalent electromagnetic problem. Unlike the more common spatial cloaks the goal of which is hiding fixed…

Applied Physics · Physics 2023-08-02 Or Lasri , Lea Sirota

We introduce two models of industrial drying - a simplified one-equation model, and a detailed three-equation model. The purpose of the simplified model is rigorous validation of numerical methods for PDE-constrained optimal control. The…

Optimization and Control · Mathematics 2024-04-26 Lennon Ó Náraigh

This paper is concerned with the problem of enhancing convection-cooling via active control of the incompressible velocity field, described by a stationary diffusion-convection model. This essentially leads to a bilinear optimal control…

Optimization and Control · Mathematics 2021-03-25 Cuiyu He , Weiwei Hu , Lin Mu

Method-of-lines discretizations are demanding test problems for stiff integration methods. However, for PDE problems with known analytic solution the presence of space discretization errors or the need to use codes to compute reference…

Numerical Analysis · Mathematics 2023-05-24 Jens Lang , Bernhard A. Schmitt

We show a design method of cloaking devices which work for target objects with arbitrary shape and material by a topology optimisation with an accurate and efficient sensitivity analysis. Most of past researches on topology optimisation of…

Numerical Analysis · Mathematics 2016-11-28 Kenta Nakamoto , Hiroshi Isakari , Toru Takahashi , Toshiro Matsumoto

Artificially designed composite materials consist of microstructures, that exhibit various thermal properties depending on their shapes, such as anisotropic thermal conductivity. One of the representative applications of such composite…

Computational Engineering, Finance, and Science · Computer Science 2023-02-27 Makoto Nakagawa , Yuki Noguchi , Kei Matsushima , Takayuki Yamada

In this paper, we first design a time optimal control problem for the heat equation with sampled-data controls, and then use it to approximate a time optimal control problem for the heat equation with distributed controls. Our design is…

Optimization and Control · Mathematics 2017-01-24 Gengsheng Wang , Donghui Yang , Yubiao Zhang

We investigate an optimization problem that arises when working within the paradigm of Data-Driven Computational Mechanics. In the context of the diffusion-reaction problem, such an optimization problem seeks for the continuous primal…

Numerical Analysis · Mathematics 2025-06-13 Pedro B. Bazon , Cristian G. Gebhardt , Gustavo C. Buscaglia , Roberto F. Ausas

Cooling down a trapped ion into its motional ground state is a central step for trapped ions based quantum information processing. State of the art cooling schemes often work under a set of optimal cooling conditions derived analytically…

Quantum Physics · Physics 2021-10-12 Xie-Qian Li , Shuo Zhang , Jie Zhang , Wei Wu , Chu Guo , Ping-Xing Chen

A solid system consisting of two heat conducting cylinders with a thermoelectric converter (Peltier element) between them is considered. A nonlinear model, which was previously verified by authors, is used to design a constrained control…

Systems and Control · Electrical Eng. & Systems 2022-06-15 Alexander Gavrikov , Georgy Kostin

This work presents the derivation of a model for the heating process of the air of a glass dome, where an indoor swimming pool is located in the bottom of the dome. The problem can be reduced from a three dimensional to a two dimensional…

Optimization and Control · Mathematics 2021-05-04 Monika Wolfmayr

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

In a wide range of applications it is desirable to optimally control a dynamical system with respect to concurrent, potentially competing goals. This gives rise to a multiobjective optimal control problem where, instead of computing a…

Optimization and Control · Mathematics 2020-12-18 Sebastian Peitz , Sina Ober-Blöbaum , Michael Dellnitz
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