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The role of time in quantum mechanics is discussed. The differences between ordinary observables and an observable which corresponds to the time of an event is examined. In particular, the time-of-arrival of a particle to a fixed location…

Quantum Physics · Physics 2009-10-31 J. Oppenheim , B. Reznik , W. G. Unruh

The Optimal Power Shutoff (OPS) problem is an optimization problem that makes power line de-energization decisions in order to reduce the risk of igniting a wildfire, while minimizing the load shed of customers. This problem, with DC linear…

Optimization and Control · Mathematics 2024-03-27 Eric Haag , Noah Rhodes , Line Roald

In the absence of external driving, a system exposed to thermal fluctuations will relax to equilibrium. However, the constant input of work makes it possible to counteract this relaxation, and maintain the system in a nonequilibrium steady…

Statistical Mechanics · Physics 2017-07-04 Jordan M. Horowitz , Kevin Zhou , Jeremy L. England

In this paper, the moment matching techniques are adopted to obtain reduced-order closed-loop systems with reduced-order controllers that maintain the closed-loop stability and guarantee desired asymptotic performance, after revealing the…

Optimization and Control · Mathematics 2024-05-06 Tudor C. Ionescu

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

We study scheduling problems motivated by recently developed techniques for microprocessor thermal management at the operating systems level. The general scenario can be described as follows. The microprocessor's temperature is controlled…

Data Structures and Algorithms · Computer Science 2008-01-29 Marek Chrobak , Christoph Durr , Mathilde Hurand , Julien Robert

One of the main issues that real energy converters present, when they produce effective work, is the inevitable entropy production. Within the context of Non-equilibrium Thermodynamics, entropy production tends to energetically degrade…

Statistical Mechanics · Physics 2024-01-08 L. A. Arias-Hernandez , G. Valencia-Ortega , F. Angulo-Brown , C. R. Martinez-Garcia

This paper studies an optimal ON-OFF control problem for a class of discrete event systems with real-time constraints. Our goal is to minimize the overall costs, including the operating cost and the wake-up cost, while still guaranteeing…

Optimization and Control · Mathematics 2018-09-07 Lei Miao , Lijian Xu , Dingde Jiang

As many sensor network applications require deployment in remote and hard-to-reach areas, it is critical to ensure that such networks are capable of operating unattended for long durations. Consequently, the concept of using nodes with…

Networking and Internet Architecture · Computer Science 2012-09-06 Rahul Srivastava , Can Emre Koksal

In this paper, we derive a number of inequalities which express power-efficiency trade-offs that hold generally for thermodynamic machines operating in non-equilibrium stationary states. One of these inequalities concerns the output power,…

Statistical Mechanics · Physics 2019-09-04 Hadrien Vroylandt , David Lacoste , Gatien Verley

We characterize profit-maximizing operating strategies, over some time horizon [0,T], for an energy store which is trading in an arbitrage market. Our theory allows for leakage, operating inefficiencies, operating constraints and general…

Optimization and Control · Mathematics 2014-12-03 Lisa Flatley , Robert S. MacKay , Michael Waterson

The offline problem of transmission completion time minimization for an energy harvesting transmitter under fading is extended to allow packet arrivals during transmission. A method for computing an optimal power and rate allocation (i.e.,…

Information Theory · Computer Science 2012-08-01 F. Mehmet Ozcelik , Goksel Uctu , Elif Uysal-Biyikoglu

Energy harvesting offers an attractive and promising mechanism to power low-energy devices. However, it alone is insufficient to enable an energy-neutral operation, which can eliminate tedious battery charging and replacement requirements.…

Systems and Control · Electrical Eng. & Systems 2021-09-13 Yigit Tuncel , Ganapati Bhat , Jaehyun Park , Umit Ogras

We consider the problem of controller synthesis under imperfect information in a setting where there is a set of available observable predicates equipped with a cost function. The problem that we address is the computation of a subset of…

Systems and Control · Computer Science 2012-07-06 Peter Bulychev , Franck Cassez , Alexandre David , Kim G. Larsen , Jean-Francois Raskin , Pierre-Alain Reynier

Ambient energy harvesting is touted as a low cost solution to prolong the life of low-powered devices, reduce the carbon footprint, and make the system self-sustainable. Most research to date have focused either on the physical aspects of…

Information Theory · Computer Science 2018-05-16 Sudarshan Guruacharya , Ekram Hossain

Resource limited user-devices may offload computation to a cloud server, in order to reduce power consumption and lower the execution time. However, to communicate to the cloud server over a wireless channel, additional energy is consumed…

Signal Processing · Electrical Eng. & Systems 2018-12-04 Shreya Tayade , Peter Rost , Andreas Maeder , Hans D. Schotten

We consider the problem of scheduling a set of $n$ tasks on $m$ processors under precedence, communication, and global system energy constraints to minimize makespan. We extend existing scheduling models to account for energy usage and give…

Data Structures and Algorithms · Computer Science 2011-05-27 David Felber , Adam Meyerson

While previous work on energy-efficient algorithms focused on assumption that tasks can be assigned to any processor, we initially study the problem of task scheduling on restricted parallel processors. The objective is to minimize the…

Data Structures and Algorithms · Computer Science 2013-09-17 Xibo Jin , Fa Zhang , Ying Song , Liya Fan , Zhiyong Liu

As the proportion of total power supplied by renewable sources increases, it gets more costly to use reserve generation to compensate for the variability of renewables like solar and wind. Hence attention has been drawn to exploiting…

Systems and Control · Computer Science 2014-08-26 Ashutosh Nayyar , Matias Negrete-Pincetic , Kameshwar Poolla , Pravin Varaiya

We reassess the concept of transition at minimum work in classical stochastic finite-time thermodynamics, when the system dynamics is modelled by a diffusion process. We show that a well-posed formulation of the optimal control problem…

Statistical Mechanics · Physics 2026-03-13 Paolo Muratore-Ginanneschi , Julia Sanders
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