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This paper deals with the optimal control of systems governed by nonlinear systems of conservation laws at junctions. The applications considered range from gas compressors in pipelines to open channels management. The existence of an…

Analysis of PDEs · Mathematics 2008-02-26 R. M. Colombo , G. Guerra , M. Herty , V. Sachers

E-powertrain of future electric vehicles could consist of energy generation units (e.g., fuel cells and photovoltaic modules), energy storage systems (e.g., batteries and supercapacitors), energy conversion units (e.g., bidirectional DC/DC…

Optimization and Control · Mathematics 2020-12-09 Erfan Mohagheghi , Joan Gubianes Gasso , Abebe Geletu , Pu Li

We are concerned with the optimal control problem of the well known nonlocal thermistor problem, i.e., in studying the heat transfer in the resistor device whose electrical conductivity is strongly dependent on the temperature. Existence of…

Optimization and Control · Mathematics 2012-10-09 Moulay Rchid Sidi Ammi , Delfim F. M. Torres

The controllability of complex networks has received much attention recently, which tells whether we can steer a system from an initial state to any final state within finite time with admissible external inputs. In order to accomplish the…

Optimization and Control · Mathematics 2019-05-29 Gaopeng Duan , Aming Li , Tao Meng , Guofeng Zhang , Long Wang

Optimal processes in stochastic thermodynamics are a frontier for understanding the control and design of non-equilibrium systems, with broad practical applications in biology, chemistry, and nanoscale/mesoscale systems. Optimal mass…

Statistical Mechanics · Physics 2026-01-15 Atul Tanaji Mohite , Heiko Rieger

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 the heat transfer between two nanoparticles held at different temperatures that interact through nonreciprocal forces, by combining molecular dynamics simulations with stochastic thermodynamics. Our simulations reveal that it is…

Statistical Mechanics · Physics 2022-12-16 Sarah A. M. Loos , Saeed Arabha , Ali Rajabpour , Ali Hassanali , Edgar Roldan

Living systems efficiently use chemical fuel to do work, process information, and assemble patterns despite thermal noise. Whether high efficiency arises from general principles or specific fine-tuning is unknown. Here, applying a recent…

Biological Physics · Physics 2022-10-11 Milo M Lin

Higher levels of renewable electricity generation increase uncertainty in power system operation. To ensure secure system operation, new tools that account for this uncertainty are required. In this paper, we formulate a chance-constrained…

Optimization and Control · Mathematics 2019-05-07 Line Roald , Göran Andersson

This paper studies optimal time-bounded control in multi-mode systems with discrete costs. Multi-mode systems are an important subclass of linear hybrid systems, in which there are no guards on transitions and all invariants are global.…

Logic in Computer Science · Computer Science 2017-06-30 Mahmoud A. A. Mousa , Sven Schewe , Dominik Wojtczak

We provide an overview on how to use the measurable selection techniques to derive the dynamic programming principle for a general stochastic optimal control/stopping problem. By considering its martingale problem formulation on the…

Optimization and Control · Mathematics 2024-10-03 Nicole El Karoui , Xiaolu Tan

Reducing work fluctuation and dissipation in heat engines or, more generally, information heat engines that perform feedback control is vital to maximize their efficiency. The same problem arises when we attempt to maximize the efficiency…

Statistical Mechanics · Physics 2016-01-06 Ken Funo , Masahito Ueda

The minimization of energy-like cost functionals is addressed in the context of optimal control problems. For a general class of dynamical systems, with possibly unstable and nonlinear free dynamics, it is shown that a sequence of solutions…

Optimization and Control · Mathematics 2022-12-06 Sérgio S. Rodrigues

Drawing from todays best-in-class solutions, we identify power-saving strategies that have succeeded in the past and look forward to new ideas and paradigms. We strongly believe that designing energy-efficient network equipment can be…

Networking and Internet Architecture · Computer Science 2016-11-17 Luc Ceuppens , Alan Sardella , Daniel Kharitonov

We propose a new conceptual approach to reach unattained dissipative properties based on the friction of slender concentric sliding columns. We begin by searching for the optimal topology in the simplest telescopic system of two concentric…

General Physics · Physics 2023-05-18 G. Puglisi , N. M. Pugno

The paper is devoted to the study of a new class of optimal control problems governed by discontinuous constrained differential inclusions of the sweeping type with involving the duration of the dynamic process into optimization. We develop…

Optimization and Control · Mathematics 2023-10-18 Giovanni Colombo , Boris S. Mordukhovich , Dao Nguyen , Trang Nguyen

This paper presents models for renewable energy systems with storage, and considers its optimal operation. We model and simulate wind and solar power production using stochastic differential equations as well as storage of the produced…

Optimization and Control · Mathematics 2022-12-20 Nicola Cantisani , Tobias K. S. Ritschel , Christian A. Thilker , Henrik Madsen , John Bagterp Jørgensen

Complex industrial processes such as the drying of combustible biomass can be modeled with computational fluid dynamics simulations. Due to their complexity, it is not straightforward to use these models for the analysis of system…

Optimization and Control · Mathematics 2020-03-30 Marc Oliver Berner , Viktor Scherer , Martin Mönnigmann

We consider the problem of minimizing the entropy, energy, or exergy production for state transitions of irreversible port-Hamiltonian systems subject to control constraints. Via a dissipativity-based analysis we show that optimal solutions…

Optimization and Control · Mathematics 2022-02-21 Bernhard Maschke , Friedrich Philipp , Manuel Schaller , Karl Worthmann , Timm Faulwasser

Industrial refrigeration systems have substantial energy needs, but optimizing their operation remains challenging due to the tension between minimizing energy costs and meeting strict cooling requirements. Load shifting--strategic…

Optimization and Control · Mathematics 2025-10-07 Vade Shah , Yohan John , Ethan Freifeld , Lily Y. Chen , Jason R. Marden
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