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Entropy is a central concept in physics, but can be challenging to calculate even for systems that are easily simulated. This is exacerbated out of equilibrium, where generally little is known about the distribution characterizing simulated…

统计力学 · 物理学 2024-05-09 Samuel D. Gelman , Guy Cohen

We discuss the role of information entropy on the behaviour of random processes, and how this might take effect in the dynamics of financial market prices. We then go on to show how the Open Quantum Systems approach can be used as a more…

数理金融 · 定量金融 2024-07-01 Will Hicks

Tailoring the design of robot bodies for control purposes is implicitly performed by engineers, however, a methodology or set of tools is largely absent and optimization of morphology (shape, material properties of robot bodies, etc.) is…

机器人学 · 计算机科学 2015-10-27 Matej Hoffmann , Vincent C. Müller

Many real-world systems are composed of many individual components that interact with one another in a complex pattern to produce diverse behaviors. Understanding how to intervene in these systems to guide behaviors is critically important…

物理与社会 · 物理学 2018-04-04 Elena Wu-Yan , Richard F. Betzel , Evelyn Tang , Shi Gu , Fabio Pasqualetti , Danielle S. Bassett

Statistical properties of coupled dynamic-stochastic systems are studied within a combination of the maximum information principle and the superstatistical approach. The conditions at which the Shannon entropy functional leads to a…

统计力学 · 物理学 2009-11-11 E. V. Vakarin , J. P. Badiali

Self-organization in complex systems is a process in which randomness is reduced and emergent structures appear that allow the system to function in a more competitive way with other states of the system or with other systems. It occurs…

适应与自组织系统 · 物理学 2025-06-02 Matthew J Brouillet , Georgi Yordanov Georgiev

Throughout the history of science, physics-based modeling has relied on judiciously approximating observed dynamics as a balance between a few dominant processes. However, this traditional approach is mathematically cumbersome and only…

流体动力学 · 物理学 2021-03-16 Jared L. Callaham , James V. Koch , Bingni W. Brunton , J. Nathan Kutz , Steven L. Brunton

Many theoretical expressions of dissipation along non-equilibrium processes have been proposed. However, they have not been fully verified by experiments. Especially for systems strongly interacting with environments the connection between…

统计力学 · 物理学 2019-12-03 Ketan Goyal , Xian He , Ryoichi Kawai

Probabilistic control design is founded on the principle that a rational agent attempts to match modelled with an arbitrary desired closed-loop system trajectory density. The framework was originally proposed as a tractable alternative to…

机器学习 · 计算机科学 2023-11-16 Tom Lefebvre

Living systems often function with regulatory interactions, but the question of how activity, stochasticity and regulations work together for achieving different goals still remains puzzling. We propose a stochastic model of an active…

软凝聚态物质 · 物理学 2026-03-02 Tai Han , Fanlong Meng

Thermostatically controlled loads (TCLs) have the potential to be a valuable resource for the Balancing Authority (BA) of the future. Examples of TCLs include household appliances such as air conditioners, water heaters, and refrigerators.…

系统与控制 · 电气工程与系统科学 2020-09-29 Austin R. Coffman , Ana Bušić , Prabir Barooah

Modern optimal control theory involves adjoining the already known equations of motion of a dynamic system to the objective function using dynamic costates; this is done in order to constrain the optimal control solutions to satisfy the…

最优化与控制 · 数学 2026-05-25 Ossama Abdelkhalik , Aimar Negrete

Equilibrium statistical mechanics is intended to link the microscopic dynamics of particles to the thermodynamic laws for macroscopic quantities. However, the modern statistical theory is faced with significant difficulties, as applied to…

统计力学 · 物理学 2016-03-15 A. G. Godizov , A. A. Godizov

In this work, the artificial recirculation of water is presented and analyzed, from the perspective of the optimal control of partial differential equations, as a tool to prevent eutrophication effects in large waterbodies. A novel…

最优化与控制 · 数学 2020-07-23 Francisco J. Fernández , Aurea Martínez , Lino J. Alzarez-Vázquez

For deterministic continuous time nonlinear control systems, epsilon-practical stabilization entropy and practical stabilization entropy are introduced. Here the rate of attraction is specified by a KL-function. Upper and lower bounds for…

最优化与控制 · 数学 2022-12-13 Fritz Colonius , Boumediene Hamzi

We study thermodynamic limits when controllers operate with only partial observability of internal correlations in multipartite systems. Understanding the costs imposed by lack of information is crucial in settings where agents must act…

统计力学 · 物理学 2025-09-25 Akihito Sudo

It is known that statistical model selection as well as identification of dynamical equations from available data are both very challenging tasks. Physical systems behave according to their underlying dynamical equations which, in turn, can…

数学物理 · 物理学 2017-10-11 Sean Alan Ali , Carlo Cafaro

Computer-based modelling and simulation have become useful tools to facilitate humans to understand systems in different domains, such as physics, astrophysics, chemistry, biology, economics, engineering and social science. A complex system…

人工智能 · 计算机科学 2021-02-03 Xing Su , Yan Kong , Weihua Li

Thermodynamics can be formulated in either of two approaches, the phenomenological approach, which refers to the macroscopic properties of systems, and the statistical approach, which describes systems in terms of their microscopic…

量子物理 · 物理学 2019-05-01 Mirjam Weilenmann , Lea Krämer Gabriel , Philippe Faist , Renato Renner

Engineering regulatory compliance in complex Cyber-Physical Systems (CPS), such as smart warehouse logistics, is challenging due to the open and dynamic nature of these systems, scales, and unpredictable modes of human-robot interactions…

系统与控制 · 电气工程与系统科学 2024-10-28 Nan Zhang , Rami Bahsoon , Nikos Tziritas , Georgios Theodoropoulos
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