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In a leader-follower multi-agent system (MAS), the leader agents act as control inputs and influence the states of the remaining follower agents. The rate at which the follower agents converge to their desired states, as well as the errors…

Systems and Control · Computer Science 2013-11-05 Andrew Clark , Basel Alomair , Linda Bushnell , Radha Poovendran

In leader-follower multi-agent networks with switching topologies, choosing a subset of agents as leaders is a critical step to achieve desired performances. In this paper, we concentrate on the problem of selecting a minimum-size set of…

Multiagent Systems · Computer Science 2019-12-13 Kaile Chen , Wangli He , Yang Tang , Wenle Zhang

We consider the leader selection problem in a network with consensus dynamics where both leader and follower agents are subject to stochastic external disturbances. The performance of the system is quantified by the total steady-state…

Optimization and Control · Mathematics 2017-12-25 Erika Mackin , Stacy Patterson

Multi-agent systems (MAS) increasingly solve complex tasks by orchestrating agents and tools selected from rapidly growing marketplaces. As these marketplaces expand, many candidates become functionally overlapping, making selection not…

Multiagent Systems · Computer Science 2026-02-02 Xinyuan Song , Liang Zhao

Often times, in many design problems, there is a need to select a small set of informative or representative elements from a large ground set of entities in an optimal fashion. Submodular optimization that provides for a formal way to solve…

Machine Learning · Computer Science 2018-10-09 Arun V Sathanur

Multi-agent systems (MAS) are foundational in simulating complex real-world scenarios involving autonomous, interacting entities. However, traditional MAS architectures often suffer from rigid coordination mechanisms and difficulty adapting…

Multiagent Systems · Computer Science 2026-04-21 Kushagra Agrawal , Nisharg Nargund

The paper considers the problem of a leader that seeks to optimally influence the opinions of agents in a directed network through connecting with a limited number of the agents ("direct followers"), possibly in the presence of a fixed…

Optimization and Control · Mathematics 2018-06-20 Van Sy Mai , Eyad H. Abed

In the leader-follower approach, one or more agents are selected as leaders who do not change their states or have autonomous dynamics and can influence other agents, while the other agents, called followers, perform a simple protocol based…

Optimization and Control · Mathematics 2019-12-03 Natalia Basimova , Pavel Chebotarev

A common approach to controlling complex networks is to directly control a subset of input nodes, which then controls the remaining nodes via network interactions. While techniques have been proposed for selecting input nodes based on…

Optimization and Control · Mathematics 2014-12-15 Andrew Clark , Basel Alomair , Linda Bushnell , Radha Poovendran

Partially Controlled Multi-Agent Systems (PCMAS) are comprised of controllable agents, managed by a system designer, and uncontrollable agents, operating autonomously. This study addresses an optimal composition design problem in PCMAS,…

Multiagent Systems · Computer Science 2025-02-19 Kyeonghyeon Park , David Molina Concha , Hyun-Rok Lee , Chi-Guhn Lee , Taesik Lee

In the submodular ranking (SR) problem, the input consists of a set of submodular functions defined on a ground set of elements. The goal is to order elements for all the functions to have value above a certain threshold as soon on average…

Data Structures and Algorithms · Computer Science 2023-03-28 Qingyun Chen , Sungjin Im , Benjamin Moseley , Chenyang Xu , Ruilong Zhang

Optimal sensing nodes selection (SNS) in dynamic systems is a combinatorial optimization problem that has been thoroughly studied in the recent literature. This problem can be formulated within the context of set optimization. For…

Optimization and Control · Mathematics 2025-03-12 Mohamad H. Kazma , Ahmad F. Taha

We are interested in assigning a pre-specified number of nodes as leaders in order to minimize the mean-square deviation from consensus in stochastically forced networks. This problem arises in several applications including control of…

Optimization and Control · Mathematics 2014-12-11 Fu Lin , Makan Fardad , Mihailo R. Jovanović

Constrained submodular set function maximization problems often appear in multi-agent decision-making problems with a discrete feasible set. A prominent example is the problem of multi-agent mobile sensor placement over a discrete domain.…

Optimization and Control · Mathematics 2020-12-01 Navid Rezazadeh , Solmaz S. Kia

Recent years have seen many algorithmic advances in the area of submodular optimization: (SO) $\min/\max~f(S): S \in \mathcal{F}$, where $\mathcal{F}$ is a given family of feasible sets over a ground set $V$ and $f:2^V \rightarrow…

Data Structures and Algorithms · Computer Science 2019-08-23 Richard Santiago , F. Bruce Shepherd

We study the performance of a network of agents tasked with tracking an external unknown signal in the presence of stochastic disturbances and under the condition that only a limited subset of agents, known as leaders, can measure the…

Optimization and Control · Mathematics 2015-06-16 Katherine E. Fitch , Naomi Ehrich Leonard

We study the problem of leader selection in leader-follower multi-agent systems that are subject to stochastic disturbances. This problem arises in applications such as vehicle formation control, distributed clock synchronization, and…

Optimization and Control · Mathematics 2014-10-27 Stacy Patterson

This paper studies the problem of selecting a minimum-size set of input nodes to guarantee stability of a networked system in the presence of uncertainties and time delays. Current approaches to input selection in networked dynamical…

Optimization and Control · Mathematics 2017-12-13 Zhipeng Liu , Yao Long , Andrew Clark , Phillip Lee , Linda Bushnell , Daniel Kirschen , Radha Poovendran

Telecom networks are rapidly growing in scale and complexity, making effective management, operation, and optimization increasingly challenging. Although Artificial Intelligence (AI) has been applied to many telecom tasks, existing models…

Artificial Intelligence · Computer Science 2025-11-04 Chenhua Shi , Bhavika Jalli , Gregor Macdonald , John Zou , Wanlu Lei , Mridul Jain , Joji Philip

Large language models, employed as multiple agents that interact and collaborate with each other, have excelled at solving complex tasks. The agents are programmed with prompts that declare their functionality, along with the topologies…

Machine Learning · Computer Science 2026-02-03 Han Zhou , Xingchen Wan , Ruoxi Sun , Hamid Palangi , Shariq Iqbal , Ivan Vulić , Anna Korhonen , Sercan Ö. Arık
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