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In this paper, we propose a novel computational method for solving non-linear optimal control problems. The method is based on the use of Fourier--Hermite series for approximating the action-value function arising in dynamic programming…

Optimization and Control · Mathematics 2022-11-29 Sakira Hassan , Simo Särkkä

This paper develops an optimal relative output-feedback based solution to the containment control problem of linear heterogeneous multi-agent systems. A distributed optimal control protocol is presented for the followers to not only assure…

We analyze the dynamics of multi-agent collective behavior models and their control theoretical properties. We first derive a large population limit to parabolic diffusive equations. We also show that the non-local transport equations…

Analysis of PDEs · Mathematics 2019-02-12 Umberto Biccari , Dongnam Ko , Enrique Zuazua

In this work, we develop a scalable, local trajectory optimization algorithm that enables robots to interact with other robots. It has been shown that agents' interactions can be successfully captured in game-theoretic formulations, where…

Robotics · Computer Science 2023-03-10 Zach Williams , Jushan Chen , Negar Mehr

Multi-agent distributed optimization over a network minimizes a global objective formed by a sum of local convex functions using only local computation and communication. We develop and analyze a quantized distributed algorithm based on the…

Optimization and Control · Mathematics 2016-11-17 Shengyu Zhu , Mingyi Hong , Biao Chen

The distributed optimal synchronization problem with linear quadratic cost is solved in this paper for multi-agent systems with an undirected communication topology. For the first time, the optimal synchronization problem is formulated as a…

Systems and Control · Computer Science 2018-05-08 Qishao Wang , Zhisheng Duan , Jingyao Wang , Guanrong Chen

Connections between Deep Neural Networks (DNNs) training and optimal control theory has attracted considerable attention as a principled tool of algorithmic design. Differential Dynamic Programming (DDP) neural optimizer is a recently…

Machine Learning · Computer Science 2020-07-20 Guan-Horng Liu , Tianrong Chen , Evangelos A. Theodorou

For a wireless avionics communication system, a Multi-arm bandit game is mathematically formulated, which includes channel states, strategies, and rewards. The simple case includes only two agents sharing the spectrum which is fully studied…

Signal Processing · Electrical Eng. & Systems 2017-11-15 Jingyang Lu , Lun Li , Dan Shen , Genshe Chen , Bin Jia , Erik Blasch , Khanh Pham

In this work, an $H_{\infty}$ performance fault recovery control problem for a team of multi-agent systems that is subject to actuator faults is studied. Our main objective is to design a distributed control reconfiguration strategy such…

Systems and Control · Computer Science 2016-06-21 Zahra Gallehdari , Nader Meskin , Khashayar Khorasani

We propose a neural network approach that yields approximate solutions for high-dimensional optimal control problems and demonstrate its effectiveness using examples from multi-agent path finding. Our approach yields controls in a feedback…

Optimization and Control · Mathematics 2022-06-29 Derek Onken , Levon Nurbekyan , Xingjian Li , Samy Wu Fung , Stanley Osher , Lars Ruthotto

This paper considers the distributed consensus problem of multi-agent systems with general continuous-time linear dynamics. Two distributed adaptive dynamic consensus protocols are proposed, based on the relative output information of…

Systems and Control · Computer Science 2015-01-20 Zhongkui Li , Xiangdong Liu , Wei Ren , Lihua Xie

This paper studies cooperative control of noncooperative double-integrator multi-agent systems (MASs) with input delay on connected directed graphs in the context of a differential graphical game (DGG). In the distributed DGG, each agent…

Systems and Control · Electrical Eng. & Systems 2024-03-04 Hossein B. Jond

We study deterministic optimal control problems for differential games with finite horizon. We propose new approximations of the strategies in feedback form, and show error estimates and a convergence result of the value in some weak sense…

Optimization and Control · Mathematics 2024-09-04 Olivier Bokanowski , Xavier Warin

This paper investigates a robust positive consensus problem for a class of heterogeneous high-order multi-agent systems subject to external inputs. Compared with existing multi-agent consensus results, the most distinct feature of the…

Systems and Control · Electrical Eng. & Systems 2023-05-10 Ruonan Li , Yutao Tang , Shurong Li

In this paper, we propose a novel distributed algorithm for consensus optimization over networks and a robust extension tailored to deal with asynchronous agents and packet losses. Indeed, to robustly achieve dynamic consensus on the…

Optimization and Control · Mathematics 2025-09-04 Guido Carnevale , Nicola Bastianello , Giuseppe Notarstefano , Ruggero Carli

This paper studies efficient distributed optimization methods for multi-agent networks. Specifically, we consider a convex optimization problem with a globally coupled linear equality constraint and local polyhedra constraints, and develop…

Systems and Control · Computer Science 2016-11-15 Tsung-Hui Chang

This paper introduces Multi-Agent MDP Homomorphic Networks, a class of networks that allows distributed execution using only local information, yet is able to share experience between global symmetries in the joint state-action space of…

Machine Learning · Computer Science 2022-05-02 Elise van der Pol , Herke van Hoof , Frans A. Oliehoek , Max Welling

We optimize finite horizon multi-agent reach-avoid Markov decision process (MDP) via \emph{local feedback policies}. The global feedback policy solution yields global optimality but its communication complexity, memory usage and computation…

Systems and Control · Electrical Eng. & Systems 2026-04-10 Adam Casselman , Abraham P. Vinod , Sarah H. Q. Li

We propose a fully distributed control system architecture, amenable to in-vehicle implementation, that aims to safely coordinate connected and automated vehicles (CAVs) at road intersections. For control purposes, we build upon a fully…

Optimization and Control · Mathematics 2022-03-25 Alexander Katriniok , Benedikt Rosarius , Petri Mähönen

Fuzzy Set Theory has been applied in many fields such as Operations Research, Control Theory, and Management Sciences etc. In particular, an application of this theory in Managerial Decision Making Problems has a remarkable significance. In…

Artificial Intelligence · Computer Science 2013-07-09 Arindam Chaudhuri