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Motivated by the growing use of artificial intelligence (AI) tools in control design, this paper analyses the intersection between results from gradient methods for the model-free linear quadratic regulator (LQR), and linear feedforward…

Systems and Control · Electrical Eng. & Systems 2025-05-27 Arthur Castello B. de Oliveira , Milad Siami , Eduardo D. Sontag

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 revisits the classical Linear Quadratic Gaussian (LQG) control from a modern optimization perspective. We analyze two aspects of the optimization landscape of the LQG problem: 1) connectivity of the set of stabilizing controllers…

Optimization and Control · Mathematics 2021-02-09 Yang Zheng , Yujie Tang , Na Li

This paper deals with an optimization problem over a network of agents, where the cost function is the sum of the individual objectives of the agents and the constraint set is the intersection of local constraints. Most existing methods…

Optimization and Control · Mathematics 2018-06-20 Van Sy Mai , Eyad H. Abed

We investigate a Linear-Quadratic-Gaussian (LQG) control and sensing co-design problem, where one jointly designs sensing and control policies. We focus on the realistic case where the sensing design is selected among a finite set of…

Optimization and Control · Mathematics 2020-05-20 Vasileios Tzoumas , Luca Carlone , George J. Pappas , Ali Jadbabaie

A multi-agent coverage problem is considered with energy-constrained agents. The objective of this paper is to compare the coverage performance between centralized and decentralized approaches. To this end, a near-optimal centralized…

Optimization and Control · Mathematics 2020-08-27 Xiangyu Meng , Xinmiao Sun , Christos G. Cassandras , Kaiyuan Xu

We investigate a distributed optimization problem over a cooperative multi-agent time-varying network, where each agent has its own decision variables that should be set so as to minimize its individual objective subject to local…

Optimization and Control · Mathematics 2018-05-24 Chuanye Gu , Zhiyou Wu , Jueyou Li

We analyze the performance of policy gradient in multitask linear quadratic regulation (LQR), where the system and cost parameters differ across tasks. The main goal of multitask LQR is to find a controller with satisfactory performance on…

Systems and Control · Electrical Eng. & Systems 2025-09-24 Charis Stamouli , Leonardo F. Toso , Anastasios Tsiamis , George J. Pappas , James Anderson

We consider a class of $\ell_0$-regularized linear-quadratic (LQ) optimal control problems. This class of problems is obtained by augmenting a penalizing sparsity measure to the cost objective of the standard linear-quadratic regulator…

Optimization and Control · Mathematics 2015-07-31 MirSaleh Bahavarnia

In this paper, we consider a simple linear exponential quadratic Gaussian (LEQG) tracking problem for a multi-agent system. We study the dynamical behaviors of the group as we vary the risk-sensitivity parameter, comparing in particular the…

Optimization and Control · Mathematics 2007-07-27 Jerome Le Ny , Eric Feron

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

In this paper we address the problem of information-constrained optimal control for an interconnected system subject to one-step communication delays and power constraints. The goal is to minimize a finite-horizon quadratic cost by…

Systems and Control · Computer Science 2018-03-21 V. Causevic , P. Ugo Abara , S. Hirche

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

We consider the optimal regulation problem for nonlinear control-affine dynamical systems. Whereas the linear-quadratic regulator (LQR) considers optimal control of a linear system with quadratic cost function, we study polynomial systems…

Optimization and Control · Mathematics 2024-10-30 Nicholas A. Corbin , Boris Kramer

This paper studies how to design a platform to optimally control constrained multi-agent systems with a single coordinator and multiple strategic agents. In our setting, the agents cannot apply control inputs and only the coordinator…

Optimization and Control · Mathematics 2019-03-19 Pedro Hespanhol , Anil Aswani

The problem of distributed controller synthesis for formation control of multi-agent systems is considered. The agents (single integrators) communicate over a communication graph and a decentralized linear feedback structure is assumed. One…

Optimization and Control · Mathematics 2013-05-17 Ameer K. Mulla , Rachel K. Kalaimani , Debraj Chakraborty , Madhu N. Belur

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

The risk-neutral LQR controller is optimal for stochastic linear dynamical systems. However, the classical optimal controller performs inefficiently in the presence of low-probability yet statistically significant (risky) events. The…

Systems and Control · Electrical Eng. & Systems 2023-07-17 Masoud Roudneshin , Saba Sanami , Amir G. Aghdam

Physical human-robot interaction (pHRI) integrates the benefits of human operator and a collaborative robot in tasks involving physical interaction, with the aim of increasing the task performance. However, the design of interaction…

Robotics · Computer Science 2020-08-13 Yusuf Aydin , Ozan Tokatli , Volkan Patoglu , Cagatay Basdogan

A multi-agent optimization problem motivated by the management of energy systems is discussed. The associated cost function is separable and convex although not necessarily strongly convex and there exist edge-based coupling equality…

Optimization and Control · Mathematics 2022-06-03 Wicak Ananduta , Angelia Nedić , Carlos Ocampo-Martinez
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