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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

This paper studies distributed Q-learning for Linear Quadratic Regulator (LQR) in a multi-agent network. The existing results often assume that agents can observe the global system state, which may be infeasible in large-scale systems due…

Multiagent Systems · Computer Science 2020-12-24 Hang Wang , Sen Lin , Hamid Jafarkhani , Junshan Zhang

This paper deals with a distributed state estimation problem for jointly observable multi-agent systems operated over various time-varying network topologies. The results apply when the system matrix of the system to be observed contains…

Systems and Control · Electrical Eng. & Systems 2023-08-31 Shimin Wang , Martin Guay

Understanding the optimization landscape of linear quadratic regulation (LQR) problems is fundamental to the design of efficient reinforcement learning solutions. Recent work has made significant progress in characterizing the landscape of…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Jingliang Duan , Jie Li , Yinsong Ma , Liye Tang , Guofa Li , Liping Zhang , Shengbo Eben Li , Lin Zhao

In this paper, we investigate the distributed state estimation problem for a continuous-time linear multi-agent system (MAS) composed of $\mathit{m}$ agents and monitored by the agents themselves. To address this problem, we propose a…

Systems and Control · Electrical Eng. & Systems 2025-09-24 Shuaiting Huang , Haodong Jiang , Chengcheng Zhao , Peng Cheng , Junfeng Wu

The adaptive distributed observer approach has been an effective tool for synthesizing a distributed control law for solving various control problems of leader-follower multiagent systems. However, the existing adaptive distributed observer…

Systems and Control · Electrical Eng. & Systems 2020-07-23 He Cai , Jie Huang

Control of large-scale networked systems often necessitates the availability of complex models for the interactions amongst the agents. However in many applications, building accurate models of agents or interactions amongst them might be…

Optimization and Control · Mathematics 2019-03-21 Siavash Alemzadeh , Mehran Mesbahi

This paper is concerned with a leader-follower problem for a multi-agent system with a switching interconnection topology. Distributed observers are designed for the second-order follower-agents, under the common assumption that the…

Optimization and Control · Mathematics 2018-01-03 Yiguang Hong , Guanrong Chen , Linda Bushnell

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

This paper is concerned with the distributed linear quadratic optimal control problem. In particular, we consider a suboptimal version of the distributed optimal control problem for undirected multi-agent networks. Given a multi-agent…

Optimization and Control · Mathematics 2018-03-08 Junjie Jiao , Harry L. Trentelman , M. Kanat Camlibel

In this paper, a cooperative Linear Quadratic Regulator (LQR) problem is investigated for multi-input systems, where each input is generated by an agent in a network. The input matrices are different and locally possessed by the…

Multiagent Systems · Computer Science 2021-11-10 Peihu Duan , Lidong He , Zhisheng Duan , Ling Shi

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 estimation problem for continuous-time linear time-invariant (LTI) systems. A single linear plant is observed by a network of local observers. Each local observer in the network has access to only…

Optimization and Control · Mathematics 2017-08-08 Weixin Han , Harry L. Trentelman , Zhenhua Wang , Yi Shen

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

This paper investigates the problem of consensus-based distributed control of linear time-invariant multi-channel systems subject to unknown inputs. A distributed observer-based control framework is proposed, within which observer nodes and…

Systems and Control · Electrical Eng. & Systems 2025-12-02 Ganghui Cao , Xunyuan Yin

The cooperative output regulation problem of linear multi-agent systems was formulated and studied by the distributed observer approach in [20, 21]. Since then, several variants and extensions have been proposed, and the technique of the…

Optimization and Control · Mathematics 2015-08-19 Jie Huang

In this paper, we first establish an exponential stability result for a class of linear switched systems and then apply this result to show the existence of the distributed observer for a discrete-time leader system over jointly connected…

Systems and Control · Computer Science 2018-12-05 Tao Liu , Jie Huang

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…

A simply structured distributed observer is described for estimating the state of a continuous-time, jointly observable, input-free, linear system whose sensed outputs are distributed across a time-varying network. It is explained how to…

Systems and Control · Electrical Eng. & Systems 2020-03-05 Lili Wang , Ji Liu , A. Stephen Morse
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