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Motivated by applications of statistical mechanics in which the system of interest is spatially unconfined, we present an exact solution to the maximum entropy problem for assigning a stationary probability distribution on the phase space…

统计力学 · 物理学 2021-12-17 Bruno Arderucio Costa , Pedro Pessoa

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

Resilient operation of the power system during ongoing wildfires is challenging because of the uncertain ways in which the fires impact the electric power infrastructure (multiple arc-faults, complete melt-down). To address this challenge,…

系统与控制 · 电气工程与系统科学 2024-04-22 Satyaprajna Sahoo , Anamitra Pal

In topology optimization of compliant mechanisms, the specific placement of boundary conditions strongly affects the resulting material distribution and performance of the design. At the same time, the most effective locations of the loads…

计算工程、金融与科学 · 计算机科学 2025-02-05 Lee R. Alacoque , Anurag Bhattacharyya , Kai A. James

The problem of finding an optimal sensing schedule for a mobile device that encounters an intermittent WiFi access opportunity is considered. At any given time, the WiFi is in any of the two modes, ON or OFF, and the mobile's incentive is…

信息论 · 计算机科学 2014-10-29 Abhinav Kumar , Rahul Vaze , Sibi Raj B Pillai , Aditya Gopalan

We consider the problem of optimal placement of concentrated masses along a massless elastic column that is clamped at one end and loaded by a nonconservative follower force at the free end. The goal is to find the largest possible interval…

经典物理 · 物理学 2021-06-01 Oleg N. Kirillov , Michael L. Overton

In this paper, we propose a novel framework for the synthesis of robust and optimal energy-aware controllers. The framework is based on energy timed automata, allowing for easy expression of timing constraints and variable energy rates. We…

形式语言与自动机理论 · 计算机科学 2018-05-04 Giovanni Bacci , Patricia Bouyer , Uli Fahrenberg , Kim G. Larsen , Nicolas Markey , Pierre-Alain Reynier

The paper studies a class of multidimensional optimal stopping problems with infinite horizon for linear switching diffusions. There are two main novelties in the optimal problems considered: the underlying stochastic process has…

概率论 · 数学 2021-08-02 Philip Ernst , Hongwei Mei

Many problems in power systems involve optimizing a certain objective function subject to power flow equations and engineering constraints. A long-standing challenge in solving them is the nonconvexity of their feasible sets. In this paper,…

最优化与控制 · 数学 2023-10-03 Ling Zhang , Daniel Tabas , Baosen Zhang

We consider the problem of controlling the group behavior of a large number of dynamic systems that are constantly interacting with each other. These systems are assumed to have identical dynamics (e.g., birds flock, robot swarm) and their…

最优化与控制 · 数学 2021-08-18 Yongxin Chen

Though switched dynamical systems have shown great utility in modeling a variety of physical phenomena, the construction of an optimal control of such systems has proven difficult since it demands some type of optimal mode scheduling. In…

最优化与控制 · 数学 2014-02-04 Ramanarayan Vasudevan , Humberto Gonzalez , Ruzena Bajcsy , S. Shankar Sastry

Navigating a collision-free and optimal trajectory for a robot is a challenging task, particularly in environments with moving obstacles such as humans. We formulate this problem as a stochastic optimal control problem. Since solving the…

系统与控制 · 电气工程与系统科学 2026-03-17 Seyyed Reza Jafari , Anders Hansson , Bo Wahlberg

Cooperation between mobile robots and wireless sensor networks is a line of research that is currently attracting a lot of attention. In this context, we study the following problem of barrier coverage by stationary wireless sensors that…

数据结构与算法 · 计算机科学 2014-10-27 J. Czyzowicz , E. Kranakis , D. Krizanc , L. Narayanan , J. Opatrny

The steady development of motor vehicle technology will enable cars of the near future to assume an ever increasing role in the decision making and control of the vehicle itself. In the foreseeable future, cars will have the ability to…

计算几何 · 计算机科学 2015-05-06 Philip Dasler , David M. Mount

Recent work [Ran22] formulated a class of optimal control problems involving positive linear systems, linear stage costs, and elementwise constraints on control. It was shown that the problem admits linear optimal cost and the associated…

最优化与控制 · 数学 2023-09-27 Yuchao Li , Anders Rantzer

In this paper we study the problem of synthesizing optimal control policies for uncertain continuous-time nonlinear systems from syntactically co-safe linear temporal logic (scLTL) formulas. We formulate this problem as a sequence of…

系统与控制 · 电气工程与系统科学 2021-04-16 Max Cohen , Calin Belta

We present a unified approach for constraint displacement problems in which a robot finds a feasible path by displacing constraints or obstacles. To this end, we propose a two stage process that returns locally optimal obstacle…

机器人学 · 计算机科学 2025-11-18 Antony Thomas , Fulvio Mastrogiovanni , Marco Baglietto

We consider optimal transport problems where the cost is optimized over controlled dynamics and the end time is free. Unlike the classical setting, the search for optimal transport plans also requires the identification of optimal "stopping…

最优化与控制 · 数学 2018-07-09 Nassif Ghoussoub , Young-Heon Kim , Aaron Zeff Palmer

This paper mainly focuses on solving the dynamic optimization of the planar controlled crowd motion models with obstacles which is an application of a class of optimal control problems governed by a general perturbed nonconvex sweeping…

最优化与控制 · 数学 2021-04-09 Tan Cao , Boris Mordukhovich , Dao Nguyen , Trang Nguyen

In the present paper we deal with an optimal control problem related to a model in population dynamics; more precisely, the goal is to modify the behavior of a given density of individuals via another population of agents interacting with…

最优化与控制 · 数学 2016-09-26 Mattia Bongini , Giuseppe Buttazzo
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