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The Linear Quadratic Gaussian (LQG) problem is a classic and widely studied model in optimal control, providing a fundamental framework for designing controllers for linear systems subject to process and observation noises. In recent years,…

最优化与控制 · 数学 2026-03-17 Haoran Li , Xun Li , Yuan-Hua Ni , Xuebo Zhang

Multi-agent interactions are increasingly important in the context of reinforcement learning, and the theoretical foundations of policy gradient methods have attracted surging research interest. We investigate the global convergence of…

最优化与控制 · 数学 2023-03-21 Sarath Pattathil , Kaiqing Zhang , Asuman Ozdaglar

Deterministic Policy Gradient (DPG) removes a level of randomness from standard randomized-action Policy Gradient (PG), and demonstrates substantial empirical success for tackling complex dynamic problems involving Markov decision…

机器学习 · 计算机科学 2020-07-14 Harshat Kumar , Dionysios S. Kalogerias , George J. Pappas , Alejandro Ribeiro

Model-based policy optimization is a well-established framework for designing reliable and high-performance controllers across a wide range of control applications. Recently, this approach has been extended to model predictive control…

系统与控制 · 电气工程与系统科学 2026-04-15 Riccardo Zuliani , Efe C. Balta , John Lygeros

While policy optimization algorithms have played an important role in recent empirical success of Reinforcement Learning (RL), the existing theoretical understanding of policy optimization remains rather limited -- they are either…

机器学习 · 计算机科学 2023-12-05 Qinghua Liu , Gellért Weisz , András György , Chi Jin , Csaba Szepesvári

In this paper, we revisit and improve the convergence of policy gradient (PG), natural PG (NPG) methods, and their variance-reduced variants, under general smooth policy parametrizations. More specifically, with the Fisher information…

机器学习 · 计算机科学 2022-11-17 Yanli Liu , Kaiqing Zhang , Tamer Başar , Wotao Yin

Natural policy gradient (NPG) methods are among the most widely used policy optimization algorithms in contemporary reinforcement learning. This class of methods is often applied in conjunction with entropy regularization -- an algorithmic…

机器学习 · 统计学 2022-09-13 Shicong Cen , Chen Cheng , Yuxin Chen , Yuting Wei , Yuejie Chi

In this paper, we propose an efficient implementation of deep policy gradient method (PGM) for optimal control problems in continuous time. The proposed method has the ability to manage the allocation of computational resources, number of…

最优化与控制 · 数学 2025-02-25 Arash Fahim , Md. Arafatur Rahman

In this work, we propose a stochastic gradient descent (SGD) framework to design data-driven policy gradient descent algorithms for the linear quadratic regulator problem. Two alternative schemes are considered to estimate the policy…

系统与控制 · 电气工程与系统科学 2026-02-24 Bowen Song , Simon Weissmann , Mathias Staudigl , Andrea Iannelli

We consider the policy gradient adaptive control (PGAC) framework, which adaptively updates a control policy in real time, by performing data-based gradient descent steps on the linear quadratic regulator cost. This method has empirically…

最优化与控制 · 数学 2026-01-07 Felix Laurent , Feiran Zhao , Jaap Eising , Florian Dörfler

In modern robotics, effectively computing optimal control policies under dynamically varying environments poses substantial challenges to the off-the-shelf parametric policy gradient methods, such as the Deep Deterministic Policy Gradient…

机器人学 · 计算机科学 2022-03-29 Apan Dastider , Mingjie Lin

Policy gradient (PG) methods are successful approaches to deal with continuous reinforcement learning (RL) problems. They learn stochastic parametric (hyper)policies by either exploring in the space of actions or in the space of parameters.…

机器学习 · 计算机科学 2024-05-31 Alessandro Montenegro , Marco Mussi , Alberto Maria Metelli , Matteo Papini

Policy optimization has drawn increasing attention in reinforcement learning, particularly in the context of derivative-free methods for linear quadratic regulator (LQR) problems with unknown dynamics. This paper focuses on characterizing…

最优化与控制 · 数学 2025-06-17 Weijian Li , Panagiotis Kounatidis , Zhong-Ping Jiang , Andreas A. Malikopoulos

Reinforcement learning is a powerful tool to learn the optimal policy of possibly multiple agents by interacting with the environment. As the number of agents grow to be very large, the system can be approximated by a mean-field problem.…

最优化与控制 · 数学 2020-08-18 Weichen Wang , Jiequn Han , Zhuoran Yang , Zhaoran Wang

Risk-aware control, though with promise to tackle unexpected events, requires a known exact dynamical model. In this work, we propose a model-free framework to learn a risk-aware controller with a focus on the linear system. We formulate it…

系统与控制 · 电气工程与系统科学 2021-06-01 Feiran Zhao , Keyou You

Reinforcement Learning (RL) has emerged as a powerful framework for sequential decision-making in dynamic environments, particularly when system parameters are unknown. This paper investigates RL-based control for entropy-regularized…

系统与控制 · 电气工程与系统科学 2025-12-02 Gabriel Diaz , Lucky Li , Wenhao Zhang

We consider the static output feedback control for Linear Quadratic Regulator problems with structured constraints under the assumption that system parameters are unknown. To solve the problem in the model free setting, we propose the…

最优化与控制 · 数学 2023-03-21 Shokichi Takakura , Kazuhiro Sato

Domain randomization is a simple, effective, and flexible scheme for obtaining robust feedback policies aimed at reducing the sim-to-real gap due to model mismatch. While domain randomization methods have yielded impressive demonstrations…

系统与控制 · 电气工程与系统科学 2026-03-17 Alex Nguyen-Le , Nikolai Matni

The article poses a general model for optimal control subject to information constraints, motivated in part by recent work of Sims and others on information-constrained decision-making by economic agents. In the average-cost optimal control…

最优化与控制 · 数学 2016-02-24 Ehsan Shafieepoorfard , Maxim Raginsky , Sean P. Meyn

Despite its popularity in the reinforcement learning community, a provably convergent policy gradient method for continuous space-time control problems with nonlinear state dynamics has been elusive. This paper proposes proximal gradient…

最优化与控制 · 数学 2022-12-27 Christoph Reisinger , Wolfgang Stockinger , Yufei Zhang