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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

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

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

We address the problem of model-free distributed stabilization of heterogeneous multi-agent systems using reinforcement learning (RL). Two algorithms are developed. The first algorithm solves a centralized linear quadratic regulator (LQR)…

Systems and Control · Electrical Eng. & Systems 2021-03-09 Gangshan Jing , He Bai , Jemin George , Aranya Chakrabortty , Piyush K. Sharma

In this paper, network of agents with identical dynamics is considered. The agents are assumed to be fed by self and neighboring output measurements, while the states are not available for measuring. Viewing distributed estimation as dual…

Systems and Control · Electrical Eng. & Systems 2020-01-17 Eleftherios Vlahakis , George Halikias

The paper considers a class of multi-agent Markov decision processes (MDPs), in which the network agents respond differently (as manifested by the instantaneous one-stage random costs) to a global controlled state and the control actions of…

Machine Learning · Statistics 2015-06-04 Soummya Kar , Jose' M. F. Moura , H. Vincent Poor

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 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

This paper studies a discrete-time stochastic control problem with linear quadratic criteria over an infinite-time horizon. We focus on a class of control systems whose system matrices are associated with random parameters involving unknown…

Optimization and Control · Mathematics 2022-01-17 Zhaorong Zhang , Juanjuan Xu , Xun Li

This paper is concerned with the linear quadratic optimal control of discrete-time time-varying system with terminal state constraint. The main contribution is to propose a Q-learning algorithm for the optimal controller when the…

Optimization and Control · Mathematics 2023-07-20 Juanjuan Xu , Jingmei Liu , Zhaorong Zhang , Wei Wang

Classical linear quadratic (LQ) control centers around linear time-invariant (LTI) systems, where the control-state pairs introduce a quadratic cost with time-invariant parameters. Recent advancement in online optimization and control has…

Optimization and Control · Mathematics 2020-09-30 Ting-Jui Chang , Shahin Shahrampour

In this paper, a multi-agent coordination problem with steady-state regulation constraints is investigated for a class of nonlinear systems. Unlike existing leader-following coordination formulations, the reference signal is not given by a…

Systems and Control · Computer Science 2017-08-15 Yutao Tang , Peng Yi

This paper studies a distributed state estimation problem for both continuous- and discrete-time linear systems. A simply structured distributed estimator (comprising interconnected local estimators) is first described for estimating the…

Systems and Control · Electrical Eng. & Systems 2023-10-30 Lili Wang , Ji Liu , Brian B. O. Anderson , A. Stephen Morse

In this paper, we introduce Quantum-Train-Based Distributed Multi-Agent Reinforcement Learning (Dist-QTRL), a novel approach to addressing the scalability challenges of traditional Reinforcement Learning (RL) by integrating quantum…

Quantum Physics · Physics 2024-12-13 Kuan-Cheng Chen , Samuel Yen-Chi Chen , Chen-Yu Liu , Kin K. Leung

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

Online optimization has recently opened avenues to study optimal control for time-varying cost functions that are unknown in advance. Inspired by this line of research, we study the distributed online linear quadratic regulator (LQR)…

Optimization and Control · Mathematics 2022-02-08 Ting-Jui Chang , Shahin Shahrampour

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

Effective coordination of agents actions in partially-observable domains is a major challenge of multi-agent systems research. To address this, many researchers have developed techniques that allow the agents to make decisions based on…

Multiagent Systems · Computer Science 2011-09-28 P. S. Dutta , N. R. Jennings , L. Moreau

This paper presents a novel approach to multi-agent reinforcement learning (RL) for linear systems with convex polytopic constraints. Existing work on RL has demonstrated the use of model predictive control (MPC) as a function approximator…

Systems and Control · Electrical Eng. & Systems 2025-01-06 Samuel Mallick , Filippo Airaldi , Azita Dabiri , Bart De Schutter

This paper introduces and analyzes an improved Q-learning algorithm for discrete-time linear time-invariant systems. The proposed method does not require any knowledge of the system dynamics, and it enjoys significant efficiency advantages…

Systems and Control · Electrical Eng. & Systems 2023-04-03 Victor G. Lopez , Mohammad Alsalti , Matthias A. Müller
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