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Multi-level optimization has gained increasing attention in recent years, as it provides a powerful framework for solving complex optimization problems that arise in many fields, such as meta-learning, multi-player games, reinforcement…

Machine Learning · Computer Science 2023-10-11 Shuoguang Yang , Xuezhou Zhang , Mengdi Wang

In this work, we systematically investigate mean field games and mean field type control problems with multiple populations using a coupled system of forward-backward stochastic differential equations of McKean-Vlasov type stemming from…

Probability · Mathematics 2020-11-03 Masaaki Fujii

We study stochastic static teams with countably infinite number of decision makers, with the goal of obtaining (globally) optimal policies under a decentralized information structure. We present sufficient conditions to connect the concepts…

Optimization and Control · Mathematics 2020-05-14 Sina Sanjari , Serdar Yüksel

A variety of problems in distributed control involve a networked system of autonomous agents cooperating to carry out some complex task in a decentralized fashion, e.g., orienting a flock of drones, or aggregating data from a network of…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-01 Bernadette Charron-Bost , Patrick Lambein-Monette

In this paper, scalable controller design to achieve output synchronization for a heterogeneous discrete-time nonlinear multi-agent system is considered. The agents are assumed to exhibit potentially nonlinear dynamics but share linear…

Systems and Control · Electrical Eng. & Systems 2025-07-29 Xin Mao , Dan Wang , Wei Chen , Li Qiu

This paper studies a class of distributed online convex optimization problems for heterogeneous linear multi-agent systems. Agents in a network, knowing only their own outputs, need to minimize the time-varying costs through neighboring…

Optimization and Control · Mathematics 2023-07-04 Yang Yu , Xiuxian Li , Li Li , Lihua Xie

We consider homogenization problems in the framework of deterministic optimal control when the dynamics and running costs are completely different in two (or more) complementary domains of the space $\R^N$. For such optimal control…

Analysis of PDEs · Mathematics 2014-05-06 Guy Barles , Ariela Briani , Emmanuel Chasseigne , Nicoletta Tchou

Online feedback optimization is a controller design paradigm for optimizing the steady-state behavior of a dynamical system. It employs an optimization algorithm as a dynamic feedback controller and utilizes real-time measurements to bypass…

Optimization and Control · Mathematics 2024-04-01 Wenbin Wang , Zhiyu He , Giuseppe Belgioioso , Saverio Bolognani , Florian Dörfler

Decentralized multi-agent systems have shown promise in enabling autonomous collaboration among LLM-based agents. While AgentNet demonstrated the feasibility of fully decentralized coordination through dynamic DAG topologies, several…

Multiagent Systems · Computer Science 2025-12-02 Goutham Nalagatla

This paper deals with the H2 suboptimal state containment control problem for homogeneous linear multi-agent systems and the H2 suboptimal output containment control problem for heterogeneous linear multi-agent systems. For both problems,…

Systems and Control · Electrical Eng. & Systems 2023-11-21 Yuan Gao , Junjie Jiao , Zhongkui Li , Sandra Hirche

Multi-agent planning in stochastic environments can be framed formally as a decentralized Markov decision problem. Many real-life distributed problems that arise in manufacturing, multi-robot coordination and information gathering scenarios…

Artificial Intelligence · Computer Science 2011-11-02 Claudia V. Goldman , Shlomo Zilberstein

Designing policies for a network of agents is typically done by formulating an optimization problem where each agent has access to state measurements of all the other agents in the network. Such policy designs with centralized information…

Optimization and Control · Mathematics 2024-05-02 Georgios Darivianakis , Angelos Georghiou , Soroosh Shafiee , John Lygeros

We present a decentralized ergodic control policy for time-varying area coverage problems for multiple agents with nonlinear dynamics. Ergodic control allows us to specify distributions as objectives for area coverage problems for nonlinear…

Robotics · Computer Science 2018-08-29 Ian Abraham , Todd D. Murphey

Broadcast control is one of decentralized control methods for networked multi-agent systems. In this method, each agent does not communicate with the others, and autonomously determines its own action using only the same signal sent from a…

Robotics · Computer Science 2021-09-15 Yasushi Amano , Tomohiko Jimbo , Kenji Fujimoto

We study the problem of mean-field control when the state dynamics are given by general systems of forward-backward stochastic differential equations (FBSDEs) with heterogeneous mean-field interactions. Firstly, we introduce a novel…

Optimization and Control · Mathematics 2026-02-23 Andreas Sojmark , Zeng Zhang

This paper proposes a novel game-theoretical autonomous decision-making framework to address a task allocation problem for a swarm of multiple agents. We consider cooperation of self-interested agents, and show that our proposed…

Multiagent Systems · Computer Science 2018-11-30 Inmo Jang , Hyo-Sang Shin , Antonios Tsourdos

With the advent of 21st century and increasing advancements in the field of technology and connectivity, inter-networking in real-time has achieved great importance. Distributed control and multi-agent paradigm has groped rapidly with…

Systems and Control · Electrical Eng. & Systems 2021-07-06 Pratik K. Bajaria

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

In the present work we deal with the existence of solutions for optimal control problems associated to transport equations. The behaviour of a population of individuals will be influenced by the presence of a population of control agents…

Analysis of PDEs · Mathematics 2022-05-19 S. Fagioli , A. Kaufmann , E. Radici

We consider a mean-field control problem in which admissible controls are required to be adapted to the common noise filtration. The main objective is to show how the mean-field control problem can be approximates by time consistent…

Optimization and Control · Mathematics 2025-09-19 Bruno Bouchard , Xiaolu Tan
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