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We study Mean Field stochastic control problems where the cost function and the state dynamics depend upon the joint distribution of the controlled state and the control process. We prove suitable versions of the Pontryagin stochastic…

最优化与控制 · 数学 2018-06-26 Beatrice Acciaio , Julio Backhoff-Veraguas , Rene Carmona

Here and in a follow-on paper, we consider a simple control problem in which the underlying dynamics depend on a parameter $a$ that is unknown and must be learned. In this paper, we assume that $a$ is bounded, i.e., that $|a| \le…

最优化与控制 · 数学 2023-09-20 Jacob Carruth , Maximilian F. Eggl , Charles Fefferman , Clarence W. Rowley

We consider a dynamical system with finitely many equilibria and perturbed by small noise, in addition to being controlled by an `expensive' control. The controlled process is optimal for an ergodic criterion with a running cost that…

概率论 · 数学 2019-03-20 Ari Arapostathis , Anup Biswas , Vivek S. Borkar

The considered optimal control problem of a stochastic power system, is to select the set of power supply vectors which infimizes the probability that the phase-angle differences of any power flow of the network, endangers the transient…

最优化与控制 · 数学 2024-01-31 Zhen Wang , Kaihua Xi , Aijie Cheng , Hai Xiang Lin , Jan H. van Schuppen

This paper derives an optimal control strategy for a simple stochastic dynamical system with constant drift and an additive control input. Motivated by the example of a physical system with an unexpected change in its dynamics, we take the…

最优化与控制 · 数学 2022-02-09 Daniel Gurevich , Debdipta Goswami , Charles L. Fefferman , Clarence W. Rowley

One of the biggest challenges that the farmers go through is to fight insect pests during agricultural product yields. The problem can be solved easily and avoid economic losses by taking timely preventive measures. This requires…

计算机视觉与模式识别 · 计算机科学 2023-10-27 Mohtasim Hadi Rafi , Mohammad Ratul Mahjabin , Md Sabbir Rahman

Optimal control theory in epidemiology has been used to establish the most effective intervention strategies for managing and mitigating the spread of infectious diseases while considering constraints and costs. Using Pontryagin's Maximum…

物理与社会 · 物理学 2025-08-08 Sandra Montes-Olivas , Adam J. Kucharski , Michael B. Gravenor , Simon D. W. Frost

Introduction of renewable generation leads to significant reduction of inertia in power system, which deteriorates the quality of frequency control. This paper suggests a new control scheme utilizing controllable load to deal with low…

系统与控制 · 计算机科学 2018-11-30 Oleg O. Khamisov , Janusz W. Bialek , Anatoly Dymarsky

In this paper we propose and study a spatial diffusion model for the control of anthracnose disease in a bounded domain. The model is a generalization of the one previously developed in [14]. We use the model to simulate two different types…

最优化与控制 · 数学 2016-08-08 David Jaurès Fotsa Mbogne , Christopher Thron

We consider a mean-field control problem in which admissible controls are required to be adapted to the common noise filtration. The main objective is to show how the mean-field control problem can be approximates by time consistent…

最优化与控制 · 数学 2025-09-19 Bruno Bouchard , Xiaolu Tan

The application of autonomous robots in agriculture is gaining increasing popularity thanks to the high impact it may have on food security, sustainability, resource use efficiency, reduction of chemical treatments, and the optimization of…

Controlling an epidemiological model is often performed using optimal control theory techniques for which the solution depends on the equations of the control system, objective functional and possible state and/or control constraints. In…

最优化与控制 · 数学 2021-11-25 Loïc Michel , Cristiana J. Silva , Delfim F. M. Torres

We study the time-optimal robust control of a two-level quantum system subjected to field inhomogeneities. We apply the Pontryagin Maximum Principle and we introduce a reduced space onto which the optimal dynamics is projected down. This…

量子物理 · 物理学 2025-09-03 O. Fresse-Colson , S. Guérin , Xi Chen , D. Sugny

We are interested in the optimal control problem associated with certain quadratic cost functionals depending on the solution $X=X^\alpha$ of the stochastic mean-field type evolution equation in $\mathbb R^d$ $dX_t=b(t,X_t,\mathcal…

概率论 · 数学 2020-07-06 Antoine Hocquet , Alexander Vogler

This paper is concerned with the partial information optimal control problem of mean-field type under partial observation, where the system is given by a controlled mean-field forward-backward stochastic differential equation with…

最优化与控制 · 数学 2017-08-21 Qingxin Meng , Qiuhong Shi , Maoning Tang

In this paper, we consider a stochastic recursive optimal control problem under model uncertainty. In this framework, the cost function is described by solutions of a family of backward stochastic differential equations. With the help of…

概率论 · 数学 2020-04-16 Mingshang Hu , Falei Wang

The development of practical and robust automated diagnostic systems for identifying plant pests is crucial for efficient agricultural production. In this paper, we first investigate three key research questions (RQs) that have not been…

计算机视觉与模式识别 · 计算机科学 2024-07-26 Ryosuke Wayama , Yuki Sasaki , Satoshi Kagiwada , Nobusuke Iwasaki , Hitoshi Iyatomi

Artificial intelligence has smoothly penetrated several economic activities, especially monitoring and control applications, including the agriculture sector. However, research efforts toward low-power sensing devices with fully functional…

机器学习 · 计算机科学 2021-08-03 Andrea Albanese , Matteo Nardello , Davide Brunelli

We prove existence and uniqueness of solutions, continuous dependence from the initial datum and stability with respect to the boundary condition in a class of initial--boundary value problems for systems of balance laws. The particular…

偏微分方程分析 · 数学 2014-03-27 Mauro Garavello , Rinaldo M. Colombo

In this work, two mathematical models for malaria under resistance are presented. More precisely, the first model shows the interaction between humans and mosquitoes inside a patch under infection of malaria when the human population is…

种群与进化 · 定量生物学 2020-02-04 Cristhian Montoya , Jhoana P. Romero-Leiton