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相关论文: Model-free $H_{\infty}$ control of It\^o stochasti…

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This paper proposes a reinforcement learning (RL) algorithm for infinite horizon $\rm {H_{2}/H_{\infty}}$ problem in a class of stochastic discrete-time systems, rather than using a set of coupled generalized algebraic Riccati equations…

最优化与控制 · 数学 2023-11-28 Xiushan Jiang , Li Wang , Dongya Zhao , Ling Shi

The $H_\infty$ control design problem is considered for nonlinear systems with unknown internal system model. It is known that the nonlinear $ H_\infty $ control problem can be transformed into solving the so-called Hamilton-Jacobi-Isaacs…

系统与控制 · 计算机科学 2014-05-13 Biao Luo , Huai-Ning Wu , Tingwen Huang

In this article, we study a continuous-time stochastic $H_\infty$ control problem based on reinforcement learning (RL) techniques that can be viewed as solving a stochastic linear-quadratic two-person zero-sum differential game (LQZSG).…

最优化与控制 · 数学 2024-10-02 Zhongshi Sun , Guangyan Jia

In standard linear quadratic (LQ) control, the first step in investigating infinite-horizon optimal control is to derive the stabilization condition with the optimal LQ controller. This paper focuses on the stabilization of an Ito…

最优化与控制 · 数学 2019-08-22 Hongdan Li , Qingyuan Qi , Huanshui Zhang

A robustly stabilizing optimal control policy in a model-free mixed $\mathcal{H}_2/\mathcal{H}_\infty$-control setting is here put forward for counterbalancing the slow convergence and non-robustness of traditional high-variance policy…

最优化与控制 · 数学 2023-04-18 Lekan Molu

This paper applies a reinforcement learning (RL) method to solve infinite horizon continuous-time stochastic linear quadratic problems, where drift and diffusion terms in the dynamics may depend on both the state and control. Based on…

最优化与控制 · 数学 2021-09-17 Na Li , Xun Li , Jing Peng , Zuo Quan Xu

Reinforcement learning (RL) is a class of artificial intelligence algorithms being used to design adaptive optimal controllers through online learning. This paper presents a model-free, real-time, data-efficient Q-learning-based algorithm…

系统与控制 · 电气工程与系统科学 2023-10-11 Ali Aalipour , Alireza Khani

The State-Dependent Riccati Equation (SDRE) technique generalizes the classical algebraic Riccati formulation to nonlinear systems by designing an input to the system that optimally(suboptimally) regulates system states toward the origin…

系统与控制 · 电气工程与系统科学 2025-12-30 Arya Rashidinejad Meibodi , Mahbod Gholamali Sinaki , Khalil Alipour

Offline reinforcement learning (RL) presents distinct challenges as it relies solely on observational data. A central concern in this context is ensuring the safety of the learned policy by quantifying uncertainties associated with various…

机器学习 · 计算机科学 2025-07-03 Xiaocong Chen , Siyu Wang , Tong Yu , Lina Yao

Learning from multi-step off-policy data collected by a set of policies is a core problem of reinforcement learning (RL). Approaches based on importance sampling (IS) often suffer from large variances due to products of IS ratios. Typical…

This paper considers the problem of solving constrained reinforcement learning (RL) problems with anytime guarantees, meaning that the algorithmic solution must yield a constraint-satisfying policy at every iteration of its evolution. Our…

系统与控制 · 电气工程与系统科学 2025-10-03 Pol Mestres , Arnau Marzabal , Jorge Cortés

Off-policy Reinforcement Learning (RL) holds the promise of better data efficiency as it allows sample reuse and potentially enables safe interaction with the environment. Current off-policy policy gradient methods either suffer from high…

机器学习 · 计算机科学 2021-06-09 Samuele Tosatto , João Carvalho , Jan Peters

This article studies inverse reinforcement learning (IRL) for the stochastic linear-quadratic optimal control problem, where two agents are considered. A learner agent does not know the expert agent's performance cost function, but it…

最优化与控制 · 数学 2024-05-28 Zhongshi Sun , Guangyan Jia

Residual Reinforcement Learning (RL) is a popular approach for adapting pretrained policies by learning a lightweight residual policy that provides corrective actions. While Residual RL is more sample-efficient than finetuning the entire…

Offline reinforcement learning (RL), also known as batch RL, offers the prospect of policy optimization from large pre-recorded datasets without online environment interaction. It addresses challenges with regard to the cost of data…

This paper studies the discrete-time linear-quadratic-Gaussian mean field (MF) social control problem in an infinite horizon, where the dynamics of all agents are unknown. The objective is to design a reinforcement learning (RL) algorithm…

最优化与控制 · 数学 2025-12-05 Hanfang Zhang , Bing-Chang Wang , Shuo Chen

Fully autonomous vehicles promise enhanced safety and efficiency. However, ensuring reliable operation in challenging corner cases requires control algorithms capable of performing at the vehicle limits. We address this requirement by…

机器人学 · 计算机科学 2025-08-14 Grzegorz Czechmanowski , Jan Węgrzynowski , Piotr Kicki , Krzysztof Walas

Offline learning is a key part of making reinforcement learning (RL) useable in real systems. Offline RL looks at scenarios where there is data from a system's operation, but no direct access to the system when learning a policy. Recent…

机器学习 · 计算机科学 2021-03-18 Arthur Argenson , Gabriel Dulac-Arnold

Reinforcement learning (RL) is typically concerned with estimating stationary policies or single-step models, leveraging the Markov property to factorize problems in time. However, we can also view RL as a generic sequence modeling problem,…

机器学习 · 计算机科学 2021-11-30 Michael Janner , Qiyang Li , Sergey Levine

Offline reinforcement learning (RL) extends the paradigm of classical RL algorithms to purely learning from static datasets, without interacting with the underlying environment during the learning process. A key challenge of offline RL is…

机器学习 · 计算机科学 2022-06-16 Shentao Yang , Yihao Feng , Shujian Zhang , Mingyuan Zhou
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