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This paper is concerned with a class of linear-quadratic stochastic large-population problems with partial information, where the individual agent only has access to a noisy observation process related to the state. The dynamics of each…

Optimization and Control · Mathematics 2024-08-20 Min Li , Na Li , Zhen Wu

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 article, we introduce decentralized Kalman filters for linear quadratic deep structured teams. The agents in deep structured teams are coupled in dynamics, costs and measurements through a set of linear regressions of the states and…

Multiagent Systems · Computer Science 2021-10-26 Jalal Arabneydi , Amir G. Aghdam

This paper investigates an indefinite linear-quadratic partially observed mean-field game with common noise, incorporating both state-average and control-average effects. In our model, each agent's state is observed through both individual…

Optimization and Control · Mathematics 2025-08-05 Tian Chen , Tianyang Nie , Zhen Wu

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

A decentralized control system with linear dynamics, quadratic cost, and Gaussian disturbances is considered. The system consists of a finite number of subsystems whose dynamics and per-step cost function are coupled through their…

Optimization and Control · Mathematics 2020-12-04 Jalal Arabneydi , Aditya Mahajan

This paper focuses on the linear quadratic control (LQC) design of systems corrupted by both stochastic noise and bounded noise simultaneously. When only of these noises are considered, the LQC strategy leads to stochastic or robust…

Optimization and Control · Mathematics 2025-12-15 Xuehui Ma , Shiliang Zhang , Xiaohui Zhang , Jing Xin , Hector Garcia de Marina

Herein, design of false data injection attack on a distributed cyber-physical system is considered. A stochastic process with linear dynamics and Gaussian noise is measured by multiple agent nodes, each equipped with multiple sensors. The…

Systems and Control · Electrical Eng. & Systems 2020-02-06 Moulik Choraria , Arpan Chattopadhyay , Urbashi Mitra , Erik Strom

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

This paper investigates a class of unified stochastic linear quadratic Gaussian (LQG) social optima problems involving a large number of weakly-coupled interactive agents under a {generalized} setting. For each individual agent, the control…

Optimization and Control · Mathematics 2020-05-15 Zhenghong Qiu , Jianhui Huang , Tinghan Xie

This paper investigates a class of mixed stochastic linear-quadratic-Gaussian (LQG) social optimization and Nash game in the context of a large scale system. Two types of interactive agents are involved: a major agent and a large number of…

Optimization and Control · Mathematics 2021-12-14 Xinwei Feng , Jianhui Huang , Zhenghong Qiu

In this paper, we study the linear quadratic (LQ) optimal control problem of linear systems with private input and measurement information. The main challenging lies in the unavailability of other regulators' historical input information.…

Optimization and Control · Mathematics 2023-05-29 Juanjuan Xu , Huanshui Zhang

This paper is concerned with linear quadratic graphon field social control problem where the noises of individual agents are correlated. Compared with the well-studied mean field system, the graphon field system consists of a large number…

Optimization and Control · Mathematics 2024-12-30 De-xuan Xu , Zhun Gou , Nan-jing Huang

Motivated by estimation problems arising in autonomous vehicles and decentralized control of unmanned aerial vehicles, we consider multi-agent estimation and filtering problems in which multiple agents generate state estimates based on…

Systems and Control · Electrical Eng. & Systems 2021-08-27 Mohammad Afshari , Aditya Mahajan

This paper studies uniform stabilization and social optimality for linear quadratic (LQ) mean field control problems with multiplicative noise, where agents are coupled via dynamics and individual costs. The state and control weights in…

Optimization and Control · Mathematics 2022-03-31 Bingchang Wang , Huanshui Zhang

We study stochastic team problems with static information structure where we assume controllers have linear information and quadratic cost but allow the noise to be from a non-Gaussian class. When the noise is Gaussian, it is well known…

Optimization and Control · Mathematics 2019-01-01 Ankur A. Kulkarni

In this paper, the decentralized estimation and linear quadratic (LQ) control problem for a leader-follower networked system (LFNS) is studied from the perspective of asymmetric information. Specifically, for a leader-follower network, the…

Optimization and Control · Mathematics 2025-09-22 Yiting Luo , Wei Wang , Qingyuan Qi , Yang Liu , Jian Xu

This work presents the solution to a class of decentralized linear quadratic state-feedback control problems, in which the plant and controller must satisfy the same combination of delay and sparsity constraints. Using a novel decomposition…

Systems and Control · Computer Science 2014-11-25 Andrew Lamperski , Laurent Lessard

We consider a class of linear-quadratic-Gaussian mean-field games with a major agent and considerable heterogeneous minor agents in the presence of mean-field interactions. The individual admissible controls are constrained in closed convex…

Optimization and Control · Mathematics 2017-10-10 Ying Hu , Jianhui Huang , Tianyang Nie

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
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