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We consider the problem of optimal reactive synthesis - compute a strategy that satisfies a mission specification in a dynamic environment, and optimizes a performance metric. We incorporate task-critical information, that is only available…

机器人学 · 计算机科学 2020-08-03 Suda Bharadwaj , Abraham P. Vinod , Rayna Dimitrova , Ufuk Topcu

The principle of optimality is a fundamental aspect of dynamic programming, which states that the optimal solution to a dynamic optimization problem can be found by combining the optimal solutions to its sub-problems. While this principle…

最优化与控制 · 数学 2024-08-14 Bar Light

To accomplish a task within limited operation time typically requires an excess expense of energy, whose minimum is of practical importance for the optimal design in various applications, especially in the industrial separation of mixtures…

最优化与控制 · 数学 2023-11-10 Jin-Fu Chen , Ruo-Xun Zhai , C. P. Sun , Hui Dong

Physics and economics are two disciplines that share the common challenge of linking microscopic and macroscopic behaviors. However, while physics is based on collective dynamics, economics is based on individual choices. This conceptual…

物理与社会 · 物理学 2011-08-25 Sebastian Grauwin , Dominic Hunt , Eric Bertin , Pablo Jensen

In recent papers it has been suggested that human locomotion may be modeled as an inverse optimal control problem. In this paradigm, the trajectories are assumed to be solutions of an optimal control problem that has to be determined. We…

最优化与控制 · 数学 2010-07-26 Yacine Chitour , Frédéric Jean , Paolo Mason

Recent investigations have been carried out on critical analyses of beginning physics teachers confronted with questionable explanations. These studies raise the question of the choices made by teachers for their teaching once they have…

物理教育 · 物理学 2021-04-29 Laurence Viennot

Minimizing volatility and adjustment costs is of central importance in many economic environments, yet it is often complicated by evolving feasibility constraints. We study a decision maker who repeatedly selects an action from a…

理论经济学 · 经济学 2026-02-18 Simon Jantschgi , Heinrich H. Nax , Bary S. R. Pradelski , Marek Pycia

This paper considers an optimal impulse control problem of dynamical systems generated by a flow. The performance criteria are total costs over the infinite time horizon. Apart from the main performance to be minimized, there are multiple…

最优化与控制 · 数学 2020-10-27 Alexey Piunovskiy , Yi Zhang

One-dimensional ideal diatomic gas is simulated through possible types of motion of a molecule. Energy of each type of its motion is calculated from theory and numerical method. Calculation of kinetic energy of an atom in…

化学物理 · 物理学 2014-02-11 Siti Nurul Khotimah , Sparisoma Viridi , Widayani , Abdul Waris

Cells generally convert nutrient resources to useful products via energy transduction. Accordingly, the thermodynamic efficiency of this conversion process is one of the most essential characteristics of living organisms. However, although…

生物物理 · 物理学 2016-05-04 Yusuke Himeoka , Kunihiko Kaneko

At any resolution level of wavelet expansions the physical observable of the kinetic energy is represented by an infinite matrix which is ``canonically'' chosen as the projection of the operator $-\Delta/2$ onto the subspace of the given…

化学物理 · 物理学 2007-07-20 J. Pipek , Sz. Nagy

In this work we present the first systematic framework to sculpt active nematics systems, using optimal control theory and a hydrodynamic model of active nematics. We demonstrate the use of two different control fields, (1) applied…

软凝聚态物质 · 物理学 2020-10-28 Michael M. Norton , Piyush Grover , Michael F. Hagan , Seth Fraden

Existing strategies for determining the optimal treatment or monitoring strategy typically assume unlimited access to resources. However, when a health system has resource constraints, such as limited funds, access to medication, or…

应用统计 · 统计学 2019-03-18 Ellen C Caniglia , Eleanor J Murray , Miguel A Hernan , Zach Shahn

The static free energy of glassy systems can be expressed in terms of the Parisi order parameter function. When this function has a discontinuity, the location of the step is determined by maximizing the free energy. In dynamics a…

凝聚态物理 · 物理学 2009-10-28 Th. M. Nieuwenhuizen

Stochastic resetting is a driving mechanism that is known to minimize the first passage time to reach a target, at the cost of energy expenditure. The choice of the physical implementation of each resetting event determines the tradeoff…

统计力学 · 物理学 2025-07-29 Rémi Goerlich , Kristian Stølevik Olsen , Hartmut Löwen , Yael Roichman

Synthesis is the automated construction of a system from its specification. The system has to satisfy its specification in all possible environments. Modern systems often interact with other systems, or agents. Many times these agents have…

计算机科学中的逻辑 · 计算机科学 2009-07-20 Dana Fisman , Orna Kupferman , Yoad Lustig

Understanding the thermodynamics of the duplication process is a fundamental step towards a comprehensive physical theory of biological systems. However, the immense complexity of real cells obscures the fundamental tensions between energy…

统计力学 · 物理学 2018-12-07 Bernat Corominas-Murtra

We propose and analyse a variant of the recently introduced kinetic based optimization method that incorporates ideas like survival-of-the-fittest and mutation strategies well-known from genetic algorithms. Thus, we provide a first attempt…

最优化与控制 · 数学 2024-07-18 Giacomo Albi , Federica Ferrarese , Claudia Totzeck

The performance of a molecular motor, characterized by its power output and energy efficiency, is investigated in the motor design space spanned by the stepping rate function and the motor-track interaction potential. Analytic results and…

软凝聚态物质 · 物理学 2018-03-14 Yuhai Tu , Yuansheng Cao

An important natural phenomenon surfaces that satisfactory synchronization of self-driven particles can be achieved via sharply reduced communication cost, especially for high density particle groups with low external noise. Statistical…

数据分析、统计与概率 · 物理学 2007-07-24 Hai-Tao Zhang , Michael ZhiQiang Chen , Tao Zhou