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This paper studies the decentralized online convex optimization problem for heterogeneous linear multi-agent systems. Agents have access to their time-varying local cost functions related to their own outputs, and there are also…

Optimization and Control · Mathematics 2022-07-05 Yang Yu , Xiuxian Li , Li Li , Lihua Xie

Multi-agent systems cooperation to achieve global goals is usually limited by sensing, actuation, and communication issues. At the local level, continuous measurement and actuation is only approximated by the use of digital mechanisms that…

Optimization and Control · Mathematics 2016-11-18 Eloy Garcia , Yongcan Cao , David W. Casbeer

In this paper, a novel distributed optimization framework has been proposed. The key idea is to convert optimization problems into optimal control problems where the objective of each agent is to design the current control input minimizing…

Optimization and Control · Mathematics 2025-04-01 Ziyuan Guo , Yue Sun , Yeming Xu , Liping Zhang , Huanshui Zhang

This brief addresses the distributed consensus problem of nonlinear multi-agent systems under a general directed communication topology. Each agent is governed by higher-order dynamics with mismatched uncertainties, multiple completely…

Systems and Control · Electrical Eng. & Systems 2020-06-02 Gang Wang , Chaoli Wang , Zhengtao Ding , Yunfeng Ji

Switching between finitely many continuous-time autonomous steepest descent dynamics for convex functions is considered. Convergence of complete solutions to common minimizers of the convex functions, if such minimizers exist, is shown. The…

Optimization and Control · Mathematics 2018-08-06 Rafal Goebel , Ricardo Sanfelice

In this paper, we propose a new framework to study distributed optimization problems with stochastic gradients by employing a multi-agent system with continuous-time dynamics. Here the goal of the agents is to cooperatively minimize the sum…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Jianhua Sun , Kaihong Lu , Xin Yu

In this paper we propose a novel consensus protocol for discrete-time multi-agent systems (MAS), which solves the dynamic consensus problem on the max value, i.e., the dynamic max-consensus problem. In the dynamic max-consensus problem to…

Optimization and Control · Mathematics 2025-06-24 Diego Deplano , Mauro Franceschelli , Alessandro Giua

This note is devoted to the distributed optimization problem of multi-agent systems with nonconvex velocity constraints, nonuniform position constraints and nonuniform stepsizes. Two distributed constrained algorithms with nonconvex…

Optimization and Control · Mathematics 2020-03-03 Peng Lin , Wei Ren , Chunhua Yang , Weihua Gui

Solving optimization problems in multi-agent systems (MAS) involves information exchange between agents. These solutions must be robust to delays and errors that arise from an unreliable wireless network which typically connects the MAS. In…

Dynamical Systems · Mathematics 2019-12-19 Arunselvan Ramaswamy , Adrian Redder , Daniel E. Quevedo

This work views the multi-agent system and its surrounding environment as a co-evolving system, where the behavior of one affects the other. The goal is to take both agent actions and environment configurations as decision variables, and…

Robotics · Computer Science 2025-07-03 Zhan Gao , Guang Yang , Amanda Prorok

This work proposes multi-agent systems setting for concurrent engineering system design optimization and gradually paves the way towards examining graph theoretic constructs in the context of multidisciplinary design optimization problem.…

Optimization and Control · Mathematics 2012-09-18 Amir Noori

The consensus control with optimal cost remains major challenging although consensus control problems have been well studied in recent years. In this paper, we study the consensus control of multi-agent system associated with a given cost…

Optimization and Control · Mathematics 2018-03-28 Juanjuan Xu , Huanshui Zhang

In this paper, we investigate the distributed convex optimization problem over a multi-agent system with Markovian switching communication networks. The objective function is the sum of each agent's local objective function, which cannot be…

Optimization and Control · Mathematics 2020-02-25 Peng Yi , Li Li

This paper investigates the problem of cooperative tuning of multi-agent optimal control systems, where a network of agents (i.e. multiple coupled optimal control systems) adjusts parameters in their dynamics, objective functions, or…

Systems and Control · Electrical Eng. & Systems 2022-09-27 Zehui Lu , Wanxin Jin , Shaoshuai Mou , Brian D. O. Anderson

In this paper, an optimal output consensus problem is studied for discrete-time linear multiagent systems subject to external disturbances. Each agent is assigned with a local cost function which is known only to itself. Distributed…

Systems and Control · Electrical Eng. & Systems 2020-12-29 Yutao Tang , Hao Zhu , Xiaoyong Lv

This paper addresses the problem of positive consensus of directed multi-agent systems with observer-type output-feedback protocols. More specifically, directed graph is used to model the communication topology of the multi-agent system and…

Optimization and Control · Mathematics 2020-09-02 Nachuan Yang , Yonghua Yin , Jinrong Liu

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

This paper explores the fundamental properties of distributed minimization of a sum of functions with each function only known to one node, and a pre-specified level of node knowledge and computational capacity. We define the optimization…

Systems and Control · Computer Science 2012-10-26 Guodong Shi , Alexandre Proutiere , Karl Henrik Johansson

Recently, a theory for stochastic optimal control in non-linear dynamical systems in continuous space-time has been developed (Kappen, 2005). We apply this theory to collaborative multi-agent systems. The agents evolve according to a given…

Multiagent Systems · Computer Science 2012-07-02 Wim Wiegerinck , Bart van den Broek , Hilbert Kappen

Inspired and underpinned by the idea of integral feedback, a distributed constant gain algorithm is proposed for multi-agent networks to solve convex optimization problems with local linear constraints. Assuming agent interactions are…

Optimization and Control · Mathematics 2021-11-19 Xuan Wang , Shaoshuai Mou , Brian. D. O. Anderson