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By an undirected rigid formation of mobile autonomous agents is meant a formation based on graph rigidity in which each pair of "neighboring" agents is responsible for maintaining a prescribed target distance between them. In a recent paper…

Systems and Control · Computer Science 2015-03-04 Shaoshuai Mou , A. Stephen Morse , Mohamed Ali Belabbas , Zhiyong Sun , Brian D. O. Anderson

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

Formation control deals with the design of decentralized control laws that stabilize mobile, autonomous agents at prescribed distances from each other. We call any configuration of the agents a target configuration if it satisfies the…

Dynamical Systems · Mathematics 2016-05-23 Xudong Chen , M. -A. Belabbas , Tamer Başar

We propose a distributed control algorithm for a multi-agent network whose agents deploy over a cluttered region in accordance with a time-varying coverage density function while avoiding collisions with all obstacles they encounter. Our…

Systems and Control · Electrical Eng. & Systems 2021-07-12 Alaa Z. Abdulghafoor , Efstathios Bakolas

We consider the optimal risk sharing problem with a continuum of agents, modeled via a non-atomic measure space. Individual preferences are not assumed to be convex. We show the multiplicity of agents induces the value function to be…

Theoretical Economics · Economics 2025-09-12 Vasily Melnikov

The paper extends an impulsive control-theoretical framework towards dynamic systems in the space of measures. We consider a transport equation describing the time-evolution of a conservative "mass" (probability measure), which represents…

Optimization and Control · Mathematics 2020-02-17 Nikolay Pogodaev , Maxim Staritsyn

We introduce a distributed control architecture for a class of heterogeneous, nonlinear dynamical agents moving in the "string" formation, while guaranteeing trajectory tracking, collision avoidance and the preservation of the formation's…

Systems and Control · Computer Science 2018-06-19 Serban Sabau , Irinel-Constantin Morarescu , Lucian Busoniu , Ali Jadbabaie

The work done in this paper, proposes a complex Laplacian-based distributed control scheme for convergence in the multi-agent network. The proposed scheme has been designated as cascade formulation. The proposed technique exploits the…

Optimization and Control · Mathematics 2019-11-21 Aniket Deshpande , Pushpak Jagtap , Prashant Bansode , Arun Mahindrakar , Navadeep Singh

Starting from a simple marginally stable model considered for Lyapunov based boundary control of flexible mechanical systems, we add a term driving an instability and prove that for an appropriate control condition the system can become…

Plasma Physics · Physics 2012-11-26 H. Tasso , G. N. Throumoulopoulos

We consider piecewise linear discrete time macroeconomic models, which possess a continuum of equilibrium states. These systems are obtained by replacing rational inflation expectations with a boundedly rational, and genuinely sticky,…

Dynamical Systems · Mathematics 2017-11-22 Pavel Krejci , Harbir Lamba , Dmitrii Rachinskii

In this paper, we investigate the consensus problem of second-order multiagent systems under directed graphs. Simple yet robust consensus algorithms that advance existing achievements in accounting for velocity and input constraints, agent…

Systems and Control · Electrical Eng. & Systems 2023-03-02 Gang Wang , Zongyu Zuo , Chaoli Wang

In this paper, we study the emergence of circular formation for agents in cyclic pursuit. Each agent is a unicycle traveling at a fixed common forward speed. We first establish a necessary and sufficient condition for the existence of…

Optimization and Control · Mathematics 2026-01-14 Zhaozhan Yao , Yuhua Yao , Xiaoming Hu

We develop a learning-based algorithm for the distributed formation control of networked multi-agent systems governed by unknown, nonlinear dynamics. Most existing algorithms either assume certain parametric forms for the unknown dynamic…

Systems and Control · Electrical Eng. & Systems 2022-01-13 Christos K. Verginis , Zhe Xu , Ufuk Topcu

We consider the global consensus problem for multi-agent systems with input saturation over digraphs. Under a mild connectivity condition that the underlying digraph has a directed spanning tree, we use Lyapunov methods to show that the…

Optimization and Control · Mathematics 2019-04-15 Xinlei Yi , Tao Yang , Junfeng Wu , Karl H. Johansson

In a dissipative system, there exists the (global) attractor which has finite fractal dimensions. The flow on the attractor can be parametrized by a finite number of parameters (Temmam 1987). Using machine learning we demonstrate how to…

Fluid Dynamics · Physics 2018-03-23 Masaki Shimizu , Genta Kawahara

Given a multi-agent linear system, we formalize and solve a trajectory optimization problem that encapsulates trajectory tracking, distance-based formation control and input energy minimization. To this end, a numerical projection operator…

Systems and Control · Electrical Eng. & Systems 2022-02-22 Marco Fabris , Angelo Cenedese , John Hauser

This article proposes a distributed control method for matrix-scaled multi-agent networks aimed at achieving convergence within a user-defined time frame. The control law of each individual agent relies only on information from neighboring…

Systems and Control · Electrical Eng. & Systems 2025-09-23 K. P. Sunny , Rakesh R. Warier

A class of dissipative dynamical systems evolving on smooth constraint hypersurfaces endowed with degenerate induced bilinear forms is studied. The intrinsic evolution is generated by constraint--preserving vector fields on manifolds whose…

Dynamical Systems · Mathematics 2026-02-24 Prasanta Sahoo

This paper investigates control laws allowing mobile, autonomous agents to optimally position themselves on the line for distributed sensing in a nonuniform field. We show that a simple static control law, based only on local measurements…

Optimization and Control · Mathematics 2015-03-19 Naomi Ehrich Leonard , Alex Olshevsky

This published paper investigates the distributed tracking control problem for a class of Euler-Lagrange multi-agent systems when the agents can only measure the positions. In this case, the lack of the separation principle and the strong…

Systems and Control · Electrical Eng. & Systems 2019-07-02 Qingkai Yang , Hao Fang , Jie Chen , Zhong-Ping Jiang , Ming Cao
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