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We consider the actuator placement problem for linear systems. Specifically, we aim to identify an actuator which requires the least amount of control energy to drive the system from an arbitrary initial condition to the origin in the worst…

系统与控制 · 计算机科学 2017-07-24 Xudong Chen , M. -A. Belabbas

Optimal transport has recently been brought forward as a tool for modeling and efficiently solving a variety of flow problems, such as origin-destination problems and multi-commodity flow problems. Although the framework has shown to be…

最优化与控制 · 数学 2025-07-29 Anqi Dong , Karl Henrik Johansson , Johan Karlsson

The study is devoted to mathematical modeling and optimal control design of longitudinal motions of a rectilinear elastic rod. The control inputs are a force, which is normal to the cross section and distributed piecewise constantly along…

最优化与控制 · 数学 2022-07-22 Georgy Kostin , Alexander Gavrikov

A well-known property of linear resistive electrical networks is that the current distribution minimizes the total dissipated energy. When the circuit includes resistors with nonlinear monotonic characteristic, the current distribution…

In this article, the optimal control problem for a harmonic oscillator with an inequality constraint is considered. The applied energy of the oscillator during a fixed final time period is used as the performance criterion. The analytical…

系统与控制 · 电气工程与系统科学 2023-10-02 Mi Zhou , Erik I Verriest , Chaouki Abdallah

Ultracold and quantum degenerate gases held near conductive surfaces can serve as sensitive, high resolution, and wide-area probes of electronic current flow. Previous work has imaged transport around grain boundaries in a gold wire by…

材料科学 · 物理学 2015-06-04 Brian Dellabetta , Taylor L. Hughes , Matthew J. Gilbert , Benjamin L. Lev

Bayesian optimal experimental design (OED) seeks to conduct the most informative experiment under budget constraints to update the prior knowledge of a system to its posterior from the experimental data in a Bayesian framework. Such…

机器学习 · 计算机科学 2024-02-29 Rafael Orozco , Felix J. Herrmann , Peng Chen

Shaped pulses obtained by optimal control theory often possess unphysically broad spectra. In principle, the spectral width of a pulse can be restricted by an additional constraint in the optimization functional. However, it has so far been…

量子物理 · 物理学 2015-07-23 Daniel M. Reich , José P. Palao , Christiane P. Koch

Designing and optimizing different flows in networks is a relevant problem in many contexts. While a number of methods have been proposed in the physics and optimal transport literature for the one-commodity case, we lack similar results…

物理与社会 · 物理学 2021-10-13 Alessandro Lonardi , Enrico Facca , Mario Putti , Caterina De Bacco

In a spatially periodic temperature profile, directed transport of an overdamped Brownian particle can be induced along a periodic potential. With a load force applied to the particle, this setup can perform as a heat engine. For a given…

统计力学 · 物理学 2009-04-02 Florian Berger , Tim Schmiedl , Udo Seifert

ITER coil tolerances are re-evaluated using the modern understanding of coupling to least-stable plasma modes and an updated center-line-traced model of ITER's coil windings. This reassessment finds the tolerances to be conservative through…

等离子体物理 · 物理学 2024-12-05 Matthew Pharr , Nikolas Logan , Carlos Paz-Soldan , Jong-Kyu Park , Chistopher Hansen

We apply optimum experimental design (OED) to organic semiconductors modeled by the extended Gaussian disorder model (EGDM) which was developed by Pasveer et al. We present an extended Gummel method to decouple the corresponding system of…

数学物理 · 物理学 2015-06-12 Christoph Karl Felix Weiler , Stefan Körkel

The classical problem of optimal transportation can be formulated as a linear optimization problem on a convex domain: among all joint measures with fixed marginals find the optimal one, where optimality is measured against a cost function.…

最优化与控制 · 数学 2012-11-29 Jonathan Korman , Robert J. McCann

The second-order cone relaxation of the branch flow model (BFM) and bus injection model (BIM) variants of optimal power flow are well-known to be equivalent for radial networks. In this work we show that in meshed networks with parallel…

最优化与控制 · 数学 2022-03-09 Frederik Geth , Bin Liu

We consider the problem of determining the power ratio between the training symbols and data symbols in order to maximize the channel capacity for transmission over uncertain channels with a channel estimate available at both the…

信息论 · 计算机科学 2015-05-13 Ather Gattami

Physical systems driven away from equilibrium by an external controller dissipate heat to the environment; the excess entropy production in the thermal reservoir can be interpreted as a "cost" to transform the system in a finite time. The…

统计力学 · 物理学 2024-12-31 Jérémie Klinger , Grant M. Rotskoff

Using the techniques of optomechanics, a high-$Q$ mechanical oscillator may serve as a link between electromagnetic modes of vastly different frequencies. This approach has successfully been exploited for the frequency conversion of…

量子物理 · 物理学 2018-10-24 Emil Zeuthen , Albert Schliesser , Jacob M. Taylor , Anders S. Sørensen

We study a time minimization problem on the group of motions of a plane with admissible control in a half-disk. The considered control system describes a model of a car that can move forward on a plane and turn in place. Optimal…

最优化与控制 · 数学 2022-06-29 Alexey Mashtakov

A mathematical model of the voltage drop which arises in on-chip power distribution networks is used to compare the maximum voltage drop in the case of different geometric arrangements of the pads supplying power to the chip. These include…

数学物理 · 物理学 2019-02-20 Tom Carroll , Joaquim Ortega-Cerdà

The analysis of Integrated Energy Systems (IES) is crucial for enhancing the comprehensive and complementary utilization of clean energy across China, significantly impacting the effective planning, operational coordination, and security…

系统与控制 · 电气工程与系统科学 2024-08-20 Xialiang Huangpu
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