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In this work, we study the inverse problem of identifying complex flocking dynamics in a domain cluttered with obstacles. We get inspiration from animal flocks moving in complex ways with capabilities far beyond what current robots can do.…

Systems and Control · Electrical Eng. & Systems 2023-05-22 Amoolya Tirumalai , Christos N. Mavridis , John S. Baras

We consider cooperative multi-agent consensus optimization problems over an undirected network of agents, where only those agents connected by an edge can directly communicate. The objective is to minimize the sum of agent-specific…

Optimization and Control · Mathematics 2016-07-12 Necdet Serhat Aybat , Erfan Yazdandoost Hamedani

We bound the time it takes for a group of birds to reach steady state in a standard flocking model. We prove that (i) within single exponential time fragmentation ceases and each bird settles on a fixed flying direction; (ii) the flocking…

Computational Geometry · Computer Science 2009-05-27 Bernard Chazelle

In this paper the optimal control of alignment models composed by a large number of agents is investigated in presence of a selective action of a controller, acting in order to enhance consensus. Two types of selective controls have been…

Optimization and Control · Mathematics 2016-10-06 Giacomo Albi , Lorenzo Pareschi

With the increasing penetration of renewable energy resources, power systems face new challenges in balancing power supply and demand and maintaining the nominal frequency. This paper studies load control to handle these challenges. In…

Optimization and Control · Mathematics 2020-04-17 Xin Chen , Changhong Zhao , Na Li

We propose a sampling-based trajectory optimization methodology for constrained problems. We extend recent works on stochastic search to deal with box control constraints,as well as nonlinear state constraints for discrete dynamical…

Optimization and Control · Mathematics 2019-11-13 George I. Boutselis , Ziyi Wang , Evangelos A. Theodorou

We study a dynamical model of a population of cooperators and defectors whose actions have long-term consequences on environmental "commons" - what we term the "resource". Cooperators contribute to restoring the resource whereas defectors…

Systems and Control · Computer Science 2025-05-06 Keith Paarporn , Ceyhun Eksin , Joshua S. Weitz , Yorai Wardi

In this paper, we consider the coordination control of a group of autonomous mobile agents with multiple leaders. Different interconnection topologies are investigated. At first, a necessary and sufficient condition is proved in the case of…

Mathematical Physics · Physics 2007-05-23 Jiangping Hu , Yiguang Hong , Linxin Gao

A new data-enabled control technique for uncertain linear time-invariant systems, recently conceived by Coulson et\ al., builds upon the direct optimization of controllers over input/output pairs drawn from a large dataset. We adopt an…

Systems and Control · Electrical Eng. & Systems 2020-09-29 Filippo Fabiani , Paul J. Goulart

Any strategy used to distribute a robot ensemble over a set of sequential tasks is subject to inaccuracy due to robot-level uncertainties and environmental influences on the robots' behavior. We approach the problem of inaccuracy during…

Robotics · Computer Science 2022-12-21 Thales C. Silva , Victoria Edwards , M. Ani Hsieh

Executing multiple tasks concurrently is important in many robotic applications. Moreover, the prioritization of tasks is essential in applications where safety-critical tasks need to precede application-related objectives, in order to…

Robotics · Computer Science 2020-03-09 Gennaro Notomista , Siddharth Mayya , Mario Selvaggio , Maria Santos , Cristian Secchi

This paper presents a novel planning method that achieves navigation of multi-robot formations in cluttered environments, while maintaining the formation throughout the robots motion. The method utilises a decentralised approach to find…

Robotics · Computer Science 2023-07-17 Jeppe Heini Mikkelsen , Matteo Fumagalli

This paper is devoted to the study of the dynamic optimization of several controlled crowd motion models in the general planar settings, which is an application of a class of optimal control problems involving a general nonconvex sweeping…

Optimization and Control · Mathematics 2025-01-20 Tan H. Cao , Nilson Chapagain , Haejoon Lee , Phung Ngoc Thi , Nguyen Nang Thieu

In this letter we propose a data-driven approach to optimizing the algebraic connectivity of a team of robots. While a considerable amount of research has been devoted to this problem, we lack a method that scales in a manner suitable for…

Robotics · Computer Science 2022-08-09 Daniel Mox , Vijay Kumar , Alejandro Ribeiro

In this paper, we present a receding-horizon, sampling-based planner capable of reasoning over multimodal policy distributions. By using the cross-entropy method to optimize a multimodal policy under a common cost function, our approach…

Robotics · Computer Science 2025-09-24 Mark Gonzales , Ethan Oh , Joseph Moore

This paper considers the problem of maintaining global connectivity of a multi-robot system while executing a desired coordination task. Our approach builds on optimization-based feedback design formulations, where the nominal cost function…

Optimization and Control · Mathematics 2023-06-29 Pio Ong , Beatrice Capelli , Lorenzo Sabattini , Jorge Cortes

We consider the optimal control problem of steering an agent population to a desired distribution over an infinite horizon. This is an optimal transport problem over dynamical systems, which is challenging due to its high computational…

Optimization and Control · Mathematics 2023-01-18 Kaito Ito , Kenji Kashima

Here we derive a nonsmooth maximum principle for optimal control problems with both state and mixed constraints. Crucial to our development is a convexity assumption on the "velocity set". The approach consists of applying known…

Optimization and Control · Mathematics 2013-03-12 Md. Haider Ali Biswas , Maria do Rosario de Pinho

A standard belief on emerging collective behavior is that it emerges from simple individual rules. Most of the mathematical research on such collective behavior starts from imperative individual rules, like always go to the center. But how…

Populations and Evolution · Quantitative Biology 2018-02-23 El Mahdi El Mhamdi , Rachid Guerraoui , Alexandre Maurer , Vladislav Tempez

In this paper, multi-agent systems minimizing a sum of objective functions, where each component is only known to a particular node, is considered for continuous-time dynamics with time-varying interconnection topologies. Assuming that each…

Multiagent Systems · Computer Science 2015-03-19 Guodong Shi , Karl Henrik Johansson , Yiguang Hong
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