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This paper considers a distributed convex optimization problem over a time-varying multi-agent network, where each agent has its own decision variables that should be set so as to minimize its individual objective subject to local…

Optimization and Control · Mathematics 2018-05-22 Chuanye Gu , Zhiyou Wu , Jueyou Li , Yaning Guo

In this paper, a gradient-free distributed algorithm is introduced to solve a set constrained optimization problem under a directed communication network. Specifically, at each time-step, the agents locally compute a so-called…

Optimization and Control · Mathematics 2021-09-06 Yipeng Pang , Guoqiang Hu

We study the problem of rendezvous of two mobile agents starting at distinct locations in an unknown graph. The agents have distinct labels and walk in synchronous steps. However the graph is unlabelled and the agents have no means of…

Data Structures and Algorithms · Computer Science 2014-06-12 Shantanu Das , Dariusz Dereniowski , Adrian Kosowski , Przemyslaw Uznanski

This paper discusses distributed optimization over a directed graph. We begin with some well known algorithms which achieve consensus among agents including FROST [1], which possesses the quickest convergence to the optimum. It is a well…

Optimization and Control · Mathematics 2021-02-12 Shuubham Ojha , Ketan Rajawat

We prove that a simple distributed algorithm finds a constant approximation of an optimal distance-$k$ dominating set in graphs with no $K_{2,t}$-minor. The algorithm runs in a constant number of rounds. We further show how this procedure…

Data Structures and Algorithms · Computer Science 2022-03-08 Andrzej Czygrinow , Michał Hanćkowiak , Marcin Witkowski

In this paper, an optimal control problem is considered where a target vehicle aims to reach a desired location in minimum time while avoiding a dynamic engagement zone. Using simple motion, four potential approaches are considered. First,…

Optimization and Control · Mathematics 2021-11-18 Isaac E. Weintraub , Alexander Von Moll , Christian Carrizales , Nicholas Hanlon , Zachariah Fuchs

This paper presents a new fast and robust algorithm that provides fuel-optimal impulsive control input sequences that drive a linear time-variant system to a desired state at a specified time. This algorithm is applicable to a broad class…

Optimization and Control · Mathematics 2020-10-06 Adam W. Koenig , Simone D'Amico

A (fully) dynamic graph algorithm is a data structure that supports edge insertions, edge deletions, and answers specific queries pertinent to the problem at hand. In this work, we address the fully dynamic edge orientation problem, also…

Data Structures and Algorithms · Computer Science 2024-07-18 Ernestine Großmann , Henrik Reinstädtler , Christian Schulz , Fabian Walliser

An instance of the maximum mixed graph orientation problem consists of a mixed graph and a collection of source-target vertex pairs. The objective is to orient the undirected edges of the graph so as to maximize the number of pairs that…

Data Structures and Algorithms · Computer Science 2012-04-03 Iftah Gamzu , Moti Medina

This paper investigates the formation control problem of heterogeneous, autonomous agents that communicate over a wireless multiple access channel. Instead of avoiding interference through orthogonal node-to-node transmissions, we exploit…

Systems and Control · Electrical Eng. & Systems 2026-03-12 Michael Epp , Fabio Molinari , Jörg Raisch

This paper devotes to the development of an optimal acceleration/speed profile for autonomous vehicles approaching a traffic light. The design objective is to achieve both short travel time and low energy consumption as well as avoid idling…

Signal Processing · Electrical Eng. & Systems 2018-02-28 Xiangyu Meng , Christos G. Cassandras

This paper presents coordination algorithms for groups of mobile agents performing deployment and coverage tasks. As an important modeling constraint, we assume that each mobile agent has a limited sensing/communication radius. Based on the…

Optimization and Control · Mathematics 2007-05-23 Jorge Cortes , Sonia Martinez , Francesco Bullo

We study an optimal control problem for a simple transportation model on a path graph. We give a closed form solution for the optimal controller, which can also account for planned disturbances using feed-forward. The optimal controller is…

Optimization and Control · Mathematics 2022-01-31 Martin Heyden , Richard Pates , Anders Rantzer

A mobile agent, starting from a node $s$ of a simple undirected connected graph $G=(V,E)$, has to explore all nodes and edges of $G$ using the minimum number of edge traversals. To do so, the agent uses a deterministic algorithm that allows…

Data Structures and Algorithms · Computer Science 2024-10-18 Stéphane Devismes , Yoann Dieudonné , Arnaud Labourel

We study fundamental graph parameters such as the Diameter and Radius in directed graphs, when distances are measured using a somewhat unorthodox but natural measure: the distance between $u$ and $v$ is the minimum of the shortest path…

Data Structures and Algorithms · Computer Science 2019-06-18 Mina Dalirrooyfard , Virginia Vassilevska Williams , Nikhil Vyas , Nicole Wein , Yinzhan Xu , Yuancheng Yu

This paper presents a distributed algorithm for controlling the deployment of a team of mobile agents in formations whose shapes can be characterized by a broad class of polygons, including regular ones, where each agent occupies a corner…

Systems and Control · Computer Science 2017-03-24 Hector Garcia de Marina , Bayu Jayawardhana , Ming Cao

This paper examines the question of finding feasible points to discrete-time optimal control problems. The optimization problem of finding a feasible trajectory is transcribed to an unconstrained optimal control problem. An efficient…

Optimization and Control · Mathematics 2024-07-08 David Kiessling , Katrin Baumgärtner , Jonathan Frey , Wilm Decré , Jan Swevers , Moritz Diehl

This paper studies a leader-follower formation tracking problem where the leaders are moving at the same unknown bounded velocity. A distance-based control law is proposed for follower agents to maintain the desired distances in the…

Systems and Control · Electrical Eng. & Systems 2021-06-22 Dung Van Vu , Minh Hoang Trinh , Hyo-Sung Ahn

Numerous approximation algorithms for problems on unit disk graphs have been proposed in the literature, exhibiting a sharp trade-off between running times and approximation ratios. We introduce a variation of the known shifting strategy…

Data Structures and Algorithms · Computer Science 2016-11-08 Guilherme D. da Fonseca , Vinícius G. Pereira de Sá , Celina M. H. de Figueiredo

Generalized from the concept of consensus, this paper considers a group of edge agreements, i.e. constraints defined for neighboring agents, in which each pair of neighboring agents is required to satisfy one edge agreement constraint. Edge…

Optimization and Control · Mathematics 2023-12-04 Zehui Lu , Shaoshuai Mou