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In this paper, we develop a hybrid distance-angle rigidity theory that involves heterogeneous distances (or unsigned angles) and signed constraints for a framework in the 2-D and 3-D space. The new rigidity theory determines a (locally)…

Systems and Control · Electrical Eng. & Systems 2020-01-01 Seong-Ho Kwon , Zhiyong Sun , Brian D. O. Anderson , Hyo-Sung Ahn

Based on the practical scenario where collisions in formation control may lead to agent damage, this paper investigates the integrated problem of distance-based formation control and collision avoidance for multi-agent systems governed by…

Optimization and Control · Mathematics 2026-05-19 Jingyi Zhao , Yongxin Wu , Héctor García de Marina , Yuhu Wu , Yann Le Gorrec

This paper investigates the synthesis of controllers for displacement-based formation control in the presence of bounded disturbances, specifically focusing on uncertainties originating from measurement noise. While the literature…

Systems and Control · Electrical Eng. & Systems 2025-11-18 Vlad-Matei Angheluţă , Bogdan Gheorghe , Daniel Ioan , Ionela Prodan , Florin Stoican

We consider the design of optimal localized feedback gains for one-dimensional formations in which vehicles only use information from their immediate neighbors. The control objective is to enhance coherence of the formation by making it…

Optimization and Control · Mathematics 2013-04-23 Fu Lin , Makan Fardad , Mihailo R. Jovanović

This work develops a symmetry-based framework for formation control on cycle graphs using Dihedral point-group constraints. We show that enforcing inter-agent reflection symmetries, together with anchoring a single designated agent to its…

Systems and Control · Electrical Eng. & Systems 2025-12-10 Zamir Martinez , Daniel Zelazo

In this paper it is established that any jointly controllable, jointly observable, multi-channel, discrete or continuous time linear system with a strongly connected neighbor (communication) graph can be exponentially stabilized with any…

Systems and Control · Electrical Eng. & Systems 2022-12-02 Fengjiao Liu , Lili Wang , Daniel Fullmer , A. Stephen Morse

We consider the problem of distributed formation control of a large number of vehicles. An individual vehicle in the formation is assumed to be a fully actuated point mass. A distributed control law is examined: the control action on an…

Adaptation and Self-Organizing Systems · Physics 2016-11-17 He Hao , Prabir Barooah , Prashant G. Mehta

This paper develops a general framework for multi-agent control synthesis, which applies to a wide range of problems with convergence guarantees, including those with time-varying objective functions. The proposed framework achieves…

Systems and Control · Electrical Eng. & Systems 2026-05-04 Ruoyu Lin , Gennaro Notomista , Magnus Egerstedt

Traveling localized spots represent an important class of self-organized two-dimensional patterns in reaction-diffusion systems. We study open-loop control intended to guide a stable spot along a desired trajectory with desired velocity.…

Pattern Formation and Solitons · Physics 2018-09-21 Steffen Martens , Christopher Ryll , Jakob Löber , Fredi Tröltzsch , Harald Engel

This paper studies the problem of stabilizing a leader-follower formation specified by a set of bearing constraints and being disturbed by some unknown uniformly bounded disturbance{s}. A set of leaders are positioned at their desired…

Systems and Control · Electrical Eng. & Systems 2024-11-28 Thanh Truong Nguyen , Dung Van Vu , Tuynh Van Pham , Minh Hoang Trinh

This paper considers the problem of localization and circumnavigation of an unknown stationary target by a group of autonomous agents using only local bearing measurements. We assume that no direct communication or exchange of information…

Optimization and Control · Mathematics 2023-12-07 Donglin Sui , Mohammad Deghat

This paper deals with controllability of dynamical networks. It is often unfeasible or unnecessary to fully control large-scale networks, which motivates the control of a prescribed subset of agents of the network. This specific form of…

Optimization and Control · Mathematics 2016-08-09 Henk J. van Waarde , M. Kanat Camlibel , Harry L. Trentelman

This paper studies the problem of distributed formation maneuver control of multi-agent systems via complex Laplacian. We will show how to change the translation, scaling, rotation, and also the shape of formation continuously by only…

Systems and Control · Electrical Eng. & Systems 2023-12-08 Xu Fang , Lihua Xie

This paper addresses formation control of reduced attitudes in which a continuous control protocol is proposed for achieving and stabilizing all regular polyhedra (also known as Platonic solids) under a unified framework. The protocol…

Optimization and Control · Mathematics 2018-05-22 Silun Zhang , Fenghua He , Yiguang Hong , Xiaoming Hu

Bearing-based distributed formation control is attractive because it can be implemented using vision-based measurements to achieve a desired formation. Gradient-descent-based controllers using bearing measurements have been shown to have…

Systems and Control · Electrical Eng. & Systems 2022-03-25 Zili Wang , Sean B. Andersson , Roberto Tron

Multi-vehicle coordinated decision making and control can improve traffic efficiency while guaranteeing driving safety. Formation control is a typical multi-vehicle coordination method in the multi-lane scenario. Among the existing…

Systems and Control · Electrical Eng. & Systems 2021-05-03 Mengchi Cai , Qing Xu , Chaoyi Chen , Jiawei Wang , Keqiang Li , Jianqiang Wang , Qianying Zhu

Multiagent systems consist of agents that locally exchange information through a physical network subject to a graph topology. Current control methods for networked multiagent systems assume the knowledge of graph topologies in order to…

Optimization and Control · Mathematics 2015-01-15 Tansel Yucelen , John Daniel Peterson , Kevin L. Moore

A control design approach is developed for a general class of uncertain strict-feedback-like nonlinear systems with dynamic uncertain input nonlinearities with time delays. The system structure considered in this paper includes a nominal…

Optimization and Control · Mathematics 2018-01-09 Prashanth Krishnamurthy , Farshad Khorrami

In this work, we study an optimal control problem for a multi-agent system modeled by an undirected formation graph with nodes describing the kinematics of each agent, given by a left-invariant control system on a Lie group. The agents…

Optimization and Control · Mathematics 2020-11-26 Leonardo Colombo , Dimos Dimarogonas

The notion of safety in multi-agent systems assumes great significance in many emerging collaborative multi-robot applications. In this paper, we present a multi-UAV collaborative target-tracking application by defining bounded inter-UAV…

Robotics · Computer Science 2023-01-10 Aditya Hegde , Jasmine Jerry Aloor , Debasish Ghose