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The present work extends known finite-dimensional constrained optimal control realizations to the realm of well-posed regular linear infinite-dimensional systems modelled by partial differential equations. The structure-preserving…

Optimization and Control · Mathematics 2020-05-21 Stevan Dubljevic , Jukka-Pekka Humaloja

Periodic dynamical systems, distinguished by their repetitive behavior over time, are prevalent across various engineering disciplines. In numerous applications, particularly within industrial contexts, the implementation of model…

Systems and Control · Electrical Eng. & Systems 2025-05-13 Jose A. Borja-Conde , Juan M. Nadales , Filiberto Fele , Daniel Limon

This paper studies the time optimal control problem for systems of heat equations coupled by a pair of constant matrices. The control constraint is of the ball-type, while the target is the origin of the state space. We obtain an upper…

Optimization and Control · Mathematics 2020-07-29 Shulin Qin , Gengsheng Wang , Huaiqiang Yu

The paper is concerned with a kind of minimal time control problem for the heat equation with impulse controls. The purpose of such a problem is to find an optimal impulse control (among certain control constraint set) steering the solution…

Optimization and Control · Mathematics 2018-06-19 Yueliang Duan , Lijuan Wang , Can Zhang

In many spinning processes, as for example in dry spinning, solvent evaporates out of the spun jets and leads to thinning and solidification of the produced fibers. Such production processes are significantly driven by the interaction of…

Fluid Dynamics · Physics 2019-02-27 Manuel Wieland , Walter Arne , Robert Feßler , Nicole Marheineke , Raimund Wegener

With the rise of deep learning, there has been renewed interest within the process industries to utilize data on large-scale nonlinear sensing and control problems. We identify key statistical and machine learning techniques that have seen…

Leveraging electrochemical and thermal energy storage systems has been proposed as a strategy to reduce peak power in data centers. Thermal energy storage systems, such as chilled water tanks, have gained increasing attention in data…

Systems and Control · Electrical Eng. & Systems 2020-07-21 Yangyang Fu , Xu Han , Jessica Stershic , Wangda Zuo , Kyri Baker , Jianming Lian

A new time discretization scheme for the numerical simulation of two-phase flow governed by a thermodynamically consistent diffuse interface model is presented. The scheme is consistent in the sense that it allows for a discrete in time…

Analysis of PDEs · Mathematics 2014-02-27 Harald Garcke , Michael Hinze , Christian Kahle

We characterize finite-time thermodynamic processes of multidimensional quadratic overdamped systems. Analytic expressions are provided for heat, work, and dissipation for any evolution of the system covariance matrix. The Bures-Wasserstein…

Statistical Mechanics · Physics 2022-11-28 Paolo Abiuso , Viktor Holubec , Janet Anders , Zhuolin Ye , Federico Cerisola , Martí Perarnau-Llobet

This paper considers the problem of designing time-dependent, real-time control policies for controllable nonlinear diffusion processes, with the goal of obtaining maximally-informative observations about parameters of interest. More…

Methodology · Statistics 2014-10-16 Giles Hooker , Kevin K. Lin , Bruce Rogers

We consider the optimal control problem of a general nonlinear spatio-temporal system described by Partial Differential Equations (PDEs). Theory and algorithms for control of spatio-temporal systems are of rising interest among the…

Optimization and Control · Mathematics 2021-04-12 Ethan N. Evans , Oswin So , Andrew P. Kendall , Guan-Horng Liu , Evangelos A. Theodorou

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

Optimization of cyclic stochastic heat engines, a topic spanning decades of research, commonly assumes fixed control or response parameters at discrete points in the cycle-a limitation that often leads to experimentally impractical…

Statistical Mechanics · Physics 2025-07-02 Monojit Chatterjee , Viktor Holubec , Rahul Marathe

Thermal-aware workload distribution is a common approach in the literature for power consumption optimization in data centers. However, data centers also have other operational costs such as the cost of equipment maintenance and…

Systems and Control · Electrical Eng. & Systems 2023-08-25 Somayye Rostami , Douglas G. Down , George Karakostas

This article addresses the problem of data-driven numerical optimal control for unknown nonlinear systems. In our scenario, we suppose to have the possibility of performing multiple experiments (or simulations) on the system. Experiments…

Systems and Control · Electrical Eng. & Systems 2025-06-19 Marco Borghesi , Lorenzo Sforni , Giuseppe Notarstefano

In office spaces, the ratio of energy consumption of air conditioning and lighting for maintaining the environment comfort is about 70%. On the other hand, many people claim being dissatisfied with the temperature of the air conditioning.…

Signal Processing · Electrical Eng. & Systems 2020-03-11 Guillaume Lopez , Takuya Aoki , Kizito Nkurikiyeyezu , Anna Yokokubo

The goal of this paper is to solve a class of stochastic optimal control problems numerically, in which the state process is governed by an It\^o type stochastic differential equation with control process entering both in the drift and the…

Optimization and Control · Mathematics 2020-06-05 Richard Archibald , Feng Bao , Jiongmin Yong , Tao Zhou

We present an optimization-based approach for trajectory planning and control of a maneuverable melting probe with a high number of binary control variables. The dynamics of the system are modeled by a set of ordinary differential equations…

Optimization and Control · Mathematics 2018-09-14 Christian Meerpohl , Kathrin Flaßkamp , Christof Büskens

Many chemical processes exhibit diverse timescale dynamics with a strong coupling between timescale sensitive variables. Model predictive control with a non-uniformly spaced optimisation horizon is an effective approach to multi-timescale…

Systems and Control · Electrical Eng. & Systems 2022-05-11 Ryan McCloy , Lai Wei , Jie Bao

Decreasing the time required for accurate thermodynamic property measurements is extremely desirable for model development that can respond to the needs of science and industry within a short time frame. Here, we demonstrate the application…

Chemical Physics · Physics 2021-05-19 Ophelia Frotscher , Roland Herzog , Markus Richter