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This paper studies the containment control problem of multi-agent systems with multiple dynamic leaders in both the discrete-time domain and the continuous-time domain. The leaders' motions are described by $(n-1)$-order polynomial…

Systems and Control · Computer Science 2015-08-28 Yunpeng Wang , Long Cheng , Wei Ren , Zeng-Guang Hou , Min Tan

The distributed coordination problem of multi-agent systems is addressed in this paper under the assumption of intermittent communication between agents in the presence of time-varying communication delays. Specifically, we consider the…

Optimization and Control · Mathematics 2016-09-20 Abdelkader Abdessameud , Ilia G. Polushin , Abdelhamid Tayebi

This paper addresses the finite-time non-overshooting leader-following consensus problem for multi-agent systems, whose agents are modeled by a dynamical system topologically equivalent to the integrator chain. Based on the weighted…

Optimization and Control · Mathematics 2024-12-12 Min Li , Andrey Polyakov , Siyuan Wang , Gang Zheng

In this paper we are concerned with multiscale modeling, control, and simulation of self-organizing agents leaving an unknown area under limited visibility, with special emphasis on crowds. We first introduce a new microscopic model…

Optimization and Control · Mathematics 2016-10-04 Giacomo Albi , Mattia Bongini , Emiliano Cristiani , Dante Kalise

We present a novel computational framework for density control in high-dimensional state spaces. The considered dynamical system consists of a large number of indistinguishable agents whose behaviors can be collectively modeled as a…

Optimization and Control · Mathematics 2023-07-26 Shaojun Ma , Mengxue Hou , Xiaojing Ye , Haomin Zhou

We study the multi-scale description of large-time collective behavior of agents driven by alignment. The resulting multi-flock dynamics arises naturally with realistic initial configurations consisting of multiple spatial scaling, which in…

Analysis of PDEs · Mathematics 2020-03-11 Roman Shvydkoy , Eitan Tadmor

This paper considers the containment control problem for multi-agent systems with general linear dynamics and multiple leaders whose control inputs are possibly nonzero and time varying. Based on the relative states of neighboring agents, a…

Systems and Control · Computer Science 2013-12-31 Zhongkui Li , Zhisheng Duan , Wei Ren , Gang Feng

The problem of consensus in the presence of adversarially behaving agents has been studied extensively in the literature. The proposed algorithms typically guarantee that the consensus value lies within the convex hull of initial normal…

Systems and Control · Electrical Eng. & Systems 2019-06-20 James Usevitch , Dimitra Panagou

In this chapter, we discuss the mathematical modeling of egressing pedestrians in an unknown environment with multiple exits. We investigate different control problems to enhance the evacuation time of a crowd of agents, by few informed…

Optimization and Control · Mathematics 2021-08-30 Giacomo Albi , Federica Ferrarese , Chiara Segala

In this paper, we consider the problem of containment control of multi-agent systems with multiple stationary leaders, interacting over a directed network. While, containment control refers to just ensuring that the follower agents reach…

Optimization and Control · Mathematics 2022-03-31 Sushobhan Chatterjee , Rachel Kalpana Kalaimani

State-dependent networked dynamical systems are ones where the interconnections between agents change as a function of the states of the agents. Such systems are highly nonlinear, and a cohesive strategy for their control is lacking in the…

Optimization and Control · Mathematics 2018-09-21 Mathias Hudoba de Badyn , Utku Eren , Behcet Acikmese , Mehran Mesbahi

This paper is concerned with the leader-following consensus problem for a class of Lipschitz nonlinear multi-agent systems with uncertain dynamics, where each agent only transmits its noisy output, at discrete instants and independently…

Optimization and Control · Mathematics 2020-07-03 Tomas Menard , Ali Syed , Emmanuel Moulay , Patrick Coirault , Michael Defoort

Large-Scale Multi-Agent Systems (LS-MAS) consist of several autonomous components, interacting in a non-trivial way, so that the emerging behaviour of the ensemble depends on the individual dynamics of the components and their reciprocal…

Systems and Control · Electrical Eng. & Systems 2025-01-03 Andrea Giusti

We consider a multi-agent confinement control problem in which a single leader has a purely repulsive effect on follower agents with double-integrator dynamics. By decomposing the leader's control inputs into periodic and aperiodic…

Multiagent Systems · Computer Science 2016-03-28 Karthik Elamvazhuthi , Sean Wilson , Spring Berman

This work investigates the decay properties of Lyapunov functions in leader-follower systems seen as a sparse control framework. Starting with a microscopic representation, we establish conditions under which the total Lyapunov function,…

Optimization and Control · Mathematics 2025-03-19 Melanie Harms , Michael Herty , Chiara Segala , Eva Zerz

We consider optimal swarm control problems where two different classes of agents are present. Continuum idealizations of large-scale swarms are used where the dynamics describe the evolution of the spatially-distributed densities of each…

Systems and Control · Electrical Eng. & Systems 2025-10-14 Max Emerick , Stacy Patterson , Bassam Bamieh

This paper addresses the leader-following consensus problem for discrete-time positive multi-agent systems over time-varying graphs. We assume that the followers may have mutually different positive dynamics which can also be different from…

Systems and Control · Electrical Eng. & Systems 2023-10-17 Ruonan Li , Yichen Zhang , Yutao Tang , Shurong Li

The original Leader-Follower model, proposed in \cite{zhao2018understanding}, categorizes agents with opinions in $[-1,1]$ into a follower group, a leader group with a positive target opinion in $[0,1]$, and a leader group with a negative…

Optimization and Control · Mathematics 2024-08-07 Hsin-Lun Li

The paper investigates dynamical systems for which the derivative of some positive-definite function along the solutions of this system depends on so-called density function. In turn, such dynamical systems are called density systems. The…

Systems and Control · Electrical Eng. & Systems 2025-01-30 Igor Furtat

The multi-agent spatial coverage control problem encompasses a broad research domain, dealing with both dynamic and static deployment strategies, discrete-task assignments, and spatial distribution-matching deployment. Coverage control may…

Robotics · Computer Science 2024-07-22 Solmaz Kia , Sonia Martinez