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This paper deals with the distributed $\mathcal{H}_2$ optimal control problem for linear multi-agent systems. In particular, we consider a suboptimal version of the distributed $\mathcal{H}_2$ optimal control problem. Given a linear…

Optimization and Control · Mathematics 2018-04-23 Junjie Jiao , Harry L. Trentelman , M. Kanat Camlibel

In this paper, we extend the results from Jiao et al. (2019) on distributed linear quadratic control for leaderless multi-agent systems to the case of distributed linear quadratic tracking control for leader-follower multi-agent systems.…

Optimization and Control · Mathematics 2019-11-27 Junjie Jiao , Harry L. Trentelman , M. Kanat Camlibel

This paper develops a novel approach to the consensus problem of multi-agent systems by minimizing a weighted state error with neighbor agents via linear quadratic (LQ) optimal control theory. Existing consensus control algorithms only…

Optimization and Control · Mathematics 2024-03-19 Liping Zhang , Juanjuan Xu , Huanshui Zhang , Lihua Xie

In this paper we consider the distributed linear quadratic control problem for networks of agents with single integrator dynamics. We first establish a general formulation of the distributed LQ problem and show that the optimal control gain…

Optimization and Control · Mathematics 2019-05-14 Junjie Jiao , Harry L. Trentelman , M. Kanat Camlibel

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

This paper deals with suboptimal distributed H2 control by dynamic output feedback for homogeneous linear multi-agent systems. Given a linear multi-agent system, together with an associated H2 cost functional, the objective is to design…

Optimization and Control · Mathematics 2020-01-22 Junjie Jiao , Harry L. Trentelman , M. Kanat Camlibel

In this paper, we study the social optimality for mean field linear quadratic control systems following the direct approach, where subsystems are coupled via individual dynamics and costs according to a network topology. A graph is…

Optimization and Control · Mathematics 2022-08-30 Yong Liang , Bingchang Wang , Huanshui Zhang

This paper is concerned with the linear quadratic (LQ) optimal control of continuous-time system with terminal state constraint. In particular, multiple agents exist in the system which can only access partial information of the matrix…

Optimization and Control · Mathematics 2025-10-21 Wenjing Yang , Zhaorong Zhang , Juanjuan Xu

In this paper, we study robust distributed sub-optimal coordination of linear agents subject to input nonlinearities. Inspired by the robust agreement literature, we formulate a bounded distributed sub-optimal coordination problem, in which…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Takumi Namba

The focus of this paper is directed towards optimal control of multi-agent systems consisting of one leader and a number of followers in the presence of noise. The dynamics of every agent is assumed to be linear, and the performance index…

Optimization and Control · Mathematics 2020-12-02 Jalal Arabneydi , Mohammad M. Baharloo , Amir G. Aghdam

Distributed optimal control is known to be challenging and can become intractable even for linear-quadratic regulator problems. In this work, we study a special class of such problems where distributed state feedback controllers can give…

Systems and Control · Electrical Eng. & Systems 2024-03-14 Johan Olsson , Runyu Zhang , Emma Tegling , Na Li

Designing the optimal linear quadratic regulator (LQR) for a large-scale multi-agent system (MAS) is time-consuming since it involves solving a large-size matrix Riccati equation. The situation is further exasperated when the design needs…

Systems and Control · Electrical Eng. & Systems 2021-03-18 Gangshan Jing , He Bai , Jemin George , Aranya Chakrabortty

In this note, a novel observer-based output feedback control approach is proposed to address the distributed optimal output consensus problem of uncertain nonlinear multi-agent systems in the normal form over unbalanced directed graphs. The…

Systems and Control · Electrical Eng. & Systems 2021-11-17 Jin Zhang , Lu Liu , Xinghu Wang , Haibo Ji

We consider team optimal control of decentralized systems with linear dynamics, quadratic costs, and arbitrary disturbance that consist of multiple sub-populations with exchangeable agents (i.e., exchanging two agents within the same…

Systems and Control · Computer Science 2018-09-19 Jalal Arabneydi , Aditya Mahajan

In this paper, we investigate the distributed optimal control problem for a kind of nonlinear multi-agent systems. In particular,both the state and the system dynamic structures of each agent are private and can only be shared among…

Optimization and Control · Mathematics 2026-04-08 Ruixue Li , Wenjing Yang , Zhaorong Zhang , Xun Li , Juanjuan Xu

This paper considers the distributed robust control problems of uncertain linear multi-agent systems with undirected communication topologies. It is assumed that the agents have identical nominal dynamics while subject to different…

Systems and Control · Computer Science 2011-09-20 Zhongkui Li , Zhisheng Duan , Lihua Xie , Xiangdong Liu

In this paper, a distributed optimal steady-state regulation problem is formulated and investigated for heterogeneous linear multi-agent systems subject to external disturbances. We aim to steer this high-order multi-agent network to a…

Optimization and Control · Mathematics 2019-02-05 Yutao Tang

In this paper, we consider the problem of distributed optimal control of linear dynamical systems with a quadratic cost criterion. We study the case of output feedback control for two interconnected dynamical systems, and show that the…

Optimization and Control · Mathematics 2012-04-18 Ather Gattami , Omid Khorsand

This paper proposes a scalable distributed policy gradient method and proves its convergence to near-optimal solution in multi-agent linear quadratic networked systems. The agents engage within a specified network under local communication…

Multiagent Systems · Computer Science 2024-03-06 Yuzi Yan , Yuan Shen

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
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