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In this paper, we address the optimal control of stochastic matching models on general graphs and single arrivals having fixed arrival rates, as introduced in \cite{MaiMoy16}. On the `N-shaped' graph, by following the dynamic programming…

Optimization and Control · Mathematics 2024-02-06 Loïc Jean , Pascal Moyal

This paper studies an optimal control problem for a string of vehicles with safety requirements and finite-time specifications on the approach time to a target region. Our problem formulation is motivated by scenarios involving autonomous…

Optimization and Control · Mathematics 2017-07-14 Pavankumar Tallapragada , Jorge Cortes

This work investigates an efficient trajectory generation for chasing a dynamic target, which incorporates the detectability objective. The proposed method actively guides the motion of a cinematographer drone so that the color of a target…

Robotics · Computer Science 2020-09-04 Boseong Felipe Jeon , Dongseok Shim , H. Jin Kim

In this paper, a Priority-based Dynamic REsource Allocation with decentralized Multi-task assignment (P-DREAM) approach is presented to protect a territory from highly manoeuvring intruders. In the first part, static optimization problems…

Systems and Control · Electrical Eng. & Systems 2023-07-20 Shridhar Velhal , Suresh Sundaram , Narasimhan Sundararajan

Path-planning for autonomous vehicles in threat-laden environments is a fundamental challenge. While traditional optimal control methods can find ideal paths, the computational time is often too slow for real-time decision-making. To solve…

Optimization and Control · Mathematics 2026-04-15 Qiang Le , Yaguang Yang , Isaac E. Weintraub

We study the class of reach-avoid dynamic games in which multiple agents interact noncooperatively, and each wishes to satisfy a distinct target criterion while avoiding a failure criterion. Reach-avoid games are commonly used to express…

Systems and Control · Electrical Eng. & Systems 2022-03-03 Dennis R. Anthony , Duy P. Nguyen , David Fridovich-Keil , Jaime F. Fisac

Uncertain dynamic obstacles, such as pedestrians or vehicles, pose a major challenge for optimal robot navigation with safety guarantees. Previous work on motion planning has followed two main strategies to provide a safe bound on an…

We propose a new model for formalizing reward collection problems on graphs with dynamically generated rewards which may appear and disappear based on a stochastic model. The *robot routing problem* is modeled as a graph whose nodes are…

Systems and Control · Computer Science 2017-07-18 Rayna Dimitrova , Ivan Gavran , Rupak Majumdar , Vinayak S. Prabhu , Sadegh Esmaeil Zadeh Soudjani

The paper presents a two-stage stochastic program to model a routing problem involving an Unmanned Aerial Vehicle (UAV) in the context of patrolling missions. In particular, given a set of targets and a set of supplemental targets…

Optimization and Control · Mathematics 2021-07-01 Sudarshan Rajan , Kaarthik Sundar , Natarajan Gautam

Evaluating and updating the obstacle avoidance velocity for an autonomous robot in real-time ensures robustness against noise and disturbances. A passive damping controller can obtain the desired motion with a torque-controlled robot, which…

Robotics · Computer Science 2024-07-16 Lukas Huber , Thibaud Trinca , Jean-Jacques Slotine , Aude Billard

The multi-agent patrol problem refers to repeatedly visiting different locations in an environment using multiple autonomous agents. For over two decades, researchers have studied this problem in various settings. While providing valuable…

Systems and Control · Electrical Eng. & Systems 2025-09-16 Deepak Mallya , Arpita Sinha , Leena Vachhani

Patrolling consists of scheduling perpetual movements of a collection of mobile robots, so that each point of the environment is regularly revisited by any robot in the collection. In previous research, it was assumed that all points of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-03 Huda Chuangpishit , Jurek Czyzowicz , Leszek Gasieniec , Konstantinos Georgiou , Tomasz Jurdzinski , Evangelos Kranakis

Our goal in this paper is to plan the motion of a robot in a partitioned environment with dynamically changing, locally sensed rewards. We assume that arbitrary assumptions on the reward dynamics can be given. The robot aims to accomplish a…

Robotics · Computer Science 2012-08-30 Maria Svorenova , Jana Tumova , Jiri Barnat , Ivana Cerna

This paper proposes a novel approach to integrate optimal control of perimeter intersections (i.e. to minimize local delay) into the perimeter control scheme (i.e. to optimize traffic performance at the network level). This is a complex…

Optimization and Control · Mathematics 2017-09-26 Kaidi Yang , Nan Zheng , Monica Menendez

In this paper we consider the problem of estimating the parameters of a Poisson arrival process where the rate function is assumed to lie in the span of a known basis. Our goal is to estimate the basis expansions coefficients given a…

Information Theory · Computer Science 2018-12-24 Michael G. Moore , Mark A. Davenport

Decision-making strategy for autonomous vehicles de-scribes a sequence of driving maneuvers to achieve a certain navigational mission. This paper utilizes the deep reinforcement learning (DRL) method to address the continuous-horizon…

Artificial Intelligence · Computer Science 2023-09-26 Hao Chen , Xiaolin Tang , Teng Liu

In this article, we explore the feasibility of applying proximal policy optimization, a state-of-the-art deep reinforcement learning algorithm for continuous control tasks, on the dual-objective problem of controlling an underactuated…

Machine Learning · Computer Science 2019-12-20 Eivind Meyer , Haakon Robinson , Adil Rasheed , Omer San

This work shows the existence of optimal control laws for persistent monitoring of mobile targets in a one-dimensional mission space and derives explicit solutions. The underlying performance metric consists of minimizing the total…

Optimization and Control · Mathematics 2022-10-05 Jonas Hall , Sean B. Andersson , Christos G. Cassandras

We consider a dynamic vehicle routing problem in wireless networks where messages arriving randomly in time and space are collected by a mobile receiver (vehicle or a collector). The collector is responsible for receiving these messages via…

Optimization and Control · Mathematics 2010-08-30 Güner D. Çelik , Eytan Modiano

In this letter we propose an optimization-based boundary controller for traffic flow dynamics capable of achieving both stability and invariance conditions. The approach is based on the definition of Boundary Control Barrier Functionals,…

Optimization and Control · Mathematics 2025-06-19 Maria Teresa Chiri , Roberto Guglielmi , Gennaro Notomista