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One key challenge for solving a general stochastic optimization problem with expectations in the objective and constraint functions using ordinary stochastic iterative methods lies in the infeasibility issue caused by the randomness over…

信息论 · 计算机科学 2019-08-30 Chencheng Ye , Ying Cui

In real-time trajectory planning for unmanned vehicles, on-board sensors, radars and other instruments are used to collect information on possible obstacles to be avoided and pathways to be followed. Since, in practice, observations of the…

统计方法学 · 统计学 2013-09-25 Adriano Zanin Zambom , Julian A. A. Collazos , Ronaldo Dias

Large-scale optimization problems require algorithms both effective and efficient. One such popular and proven algorithm is Stochastic Gradient Descent which uses first-order gradient information to solve these problems. This paper studies…

最优化与控制 · 数学 2021-11-11 Theodoros Mamalis , Dusan Stipanovic , Petros Voulgaris

We consider a stochastic transportation problem between two prescribed probability distributions (a source and a target) over processes with general drift dependence and with free end times. First, and in order to establish a dual…

最优化与控制 · 数学 2019-09-12 Samer Dweik , Nassif Ghoussoub , Young-Heon Kim , Aaron Zeff Palmer

We present an algorithm to solve the problem of locating the source, or maxima, of a scalar field using a robot swarm. We demonstrate how the robot swarm determines its direction of movement to approach the source using only field intensity…

机器人学 · 计算机科学 2024-08-20 Antonio Acuaviva , Hector Garcia de Marina , Juan Jimenez

In this paper, we investigate a nonlocal traffic flow model based on a scalar conservation law, where a stochastic velocity function is assumed. In addition to the modeling, theoretical properties of the stochastic nonlocal model are…

数值分析 · 数学 2024-07-04 Timo Böhme , Simone Göttlich , Andreas Neuenkirch

In this paper, we study the stochastic optimal control problem for control system with time-varying delay. The corresponding stochastic differential equation is a kind of stochastic differential delay equation. We prove the existence and…

最优化与控制 · 数学 2024-01-17 Yuhang Li , Yuecai Han

This paper considers the relaxed version of the transport problem for general nonlinear control systems, where the objective is to design time-varying feedback laws that transport a given initial probability measure to a target probability…

系统与控制 · 计算机科学 2018-07-27 Karthik Elamvazhuthi , Piyush Grover , Spring Berman

In this work, we present a learning method for lateral and longitudinal motion control of an ego-vehicle for vehicle pursuit. The car being controlled does not have a pre-defined route, rather it reactively adapts to follow a target vehicle…

机器人学 · 计算机科学 2023-08-17 Jiaxin Pan , Changyao Zhou , Mariia Gladkova , Qadeer Khan , Daniel Cremers

To understand the convergence behavior of the Push-Pull method for decentralized optimization with stochastic gradients (Stochastic Push-Pull), this paper presents a comprehensive analysis. Specifically, we first clarify the algorithm's…

最优化与控制 · 数学 2025-06-10 Runze You , Shi Pu

Stochastic Model Predictive Control has proved to be an efficient method to plan trajectories in uncertain environments, e.g., for autonomous vehicles. Chance constraints ensure that the probability of collision is bounded by a predefined…

系统与控制 · 电气工程与系统科学 2021-05-17 Tim Brüdigam , Fulvio di Luzio , Lucia Pallottino , Dirk Wollherr , Marion Leibold

This paper introduces a novel model-free, real-time unicycle-based source seeking design. This design autonomously steers the unicycle dynamic system towards the extremum point of an objective function or physical/scalar signal that is…

最优化与控制 · 数学 2026-04-21 Rohan Palanikumar , Ahmed A. Elgohary , Victoria Grushkovskaya , Sameh A. Eisa

Stochastic nonconvex optimization problems with nonlinear constraints have a broad range of applications in intelligent transportation, cyber-security, and smart grids. In this paper, first, we propose an inexact-proximal accelerated…

最优化与控制 · 数学 2021-07-08 Morteza Boroun , Afrooz Jalilzadeh

The study of optimal control problems under uncertainty plays an important role in scientific numerical simulations. This class of optimization problems is strongly utilized in engineering, biology and finance. In this paper, a stochastic…

最优化与控制 · 数学 2023-04-06 Caroline Geiersbach , Teresa Scarinci

This paper presents a novel synthesis method for designing an optimal and robust guidance law for a non-throttleable upper stage of a launch vehicle, using a convex approach. In the unperturbed scenario, a combination of lossless and…

最优化与控制 · 数学 2022-12-14 Boris Benedikter , Alessandro Zavoli , Guido Colasurdo , Simone Pizzurro , Enrico Cavallini

We consider a stochastic impulse control problem that is motivated by applications such as the optimal exploitation of a natural resource. In particular, we consider a stochastic system whose uncontrolled state dynamics are modelled by a…

最优化与控制 · 数学 2024-08-27 Zhesheng Liu , Mihail Zervos

We consider stochastic control with discretionary stopping for the drift of a diffusion process over an infinite time horizon. The objective is to choose a control process and a stopping time to minimize the expectation of a convex terminal…

最优化与控制 · 数学 2025-06-24 Václav E. Beneš , Georgy Gaitsgori , Ioannis Karatzas

This paper focuses on stochastic saddle point problems with decision-dependent distributions. These are problems whose objective is the expected value of a stochastic payoff function and whose data distribution drifts in response to…

最优化与控制 · 数学 2022-11-15 Killian Wood , Emiliano Dall'Anese

This paper addresses the multivariable gradient-based extremum seeking control (ESC) subject to saturation. Two distinct saturation scenarios are investigated here: saturation acting on the input of the function to be optimized, which is…

We propose a variational formulation of an inverse problem in continuous-time stochastic control, aimed at identifying control costs consistent with a given distribution over trajectories. The formulation is based on minimizing the…

最优化与控制 · 数学 2026-03-19 Yumiharu Nakano