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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

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

The stochastic $H_{\infty}$ control is studied for a linear stochastic It\^o system with an unknown system model. The linear stochastic $H_{\infty}$ control issue is known to be transformable into the problem of solving a so-called…

最优化与控制 · 数学 2024-03-08 Jing Guo Jing Guo , Xiushan Jiang , Weihai Zhang

This paper considers a stochastic linear quadratic problem for discrete-time systems with multiplicative noises over an infinite horizon. To obtain the optimal solution, we propose an online iterative algorithm of reinforcement learning…

最优化与控制 · 数学 2023-11-22 Hongdan Li , Lucky Qiaofeng Li , Xun Li , Zhaorong Zhang

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

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

This paper employs a policy iteration reinforcement learning (RL) method to study continuous-time linear-quadratic mean-field control problems in infinite horizon. The drift and diffusion terms in the dynamics involve the states, the…

最优化与控制 · 数学 2024-11-05 Na Li , Xun Li , Zuo Quan Xu

This paper investigates the optimal control problem for a class of discrete-time stochastic systems subject to additive and multiplicative noises. A stochastic Lyapunov equation and a stochastic algebra Riccati equation are established for…

系统与控制 · 电气工程与系统科学 2020-08-24 Jing Lai , Junlin Xiong , Zhan Shu

We propose a compositional approach to synthesize policies for networks of continuous-space stochastic control systems with unknown dynamics using model-free reinforcement learning (RL). The approach is based on implicitly abstracting each…

系统与控制 · 电气工程与系统科学 2022-08-09 Abolfazl Lavaei , Mateo Perez , Milad Kazemi , Fabio Somenzi , Sadegh Soudjani , Ashutosh Trivedi , Majid Zamani

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

Reinforcement learning (RL) is an effective approach for solving optimal control problems without knowing the exact information of the system model. However, the classical Q-learning method, a model-free RL algorithm, has its limitations,…

最优化与控制 · 数学 2025-06-04 Xiushan Jiang , Weihai Zhang

We study reinforcement learning (RL) for a class of continuous-time linear-quadratic (LQ) control problems for diffusions, where states are scalar-valued and running control rewards are absent but volatilities of the state processes depend…

机器学习 · 计算机科学 2025-07-25 Yilie Huang , Yanwei Jia , Xun Yu Zhou

We consider reinforcement learning (RL) methods for finding optimal policies in linear quadratic (LQ) mean field control (MFC) problems over an infinite horizon in continuous time, with common noise and entropy regularization. We study…

最优化与控制 · 数学 2024-08-06 Noufel Frikha , Huyên Pham , Xuanye Song

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

We present a model-free reinforcement learning algorithm to find an optimal policy for a finite-horizon Markov decision process while guaranteeing a desired lower bound on the probability of satisfying a signal temporal logic (STL)…

系统与控制 · 电气工程与系统科学 2021-09-29 Krishna C. Kalagarla , Rahul Jain , Pierluigi Nuzzo

Interest in reinforcement learning (RL) for large-scale systems, comprising extensive populations of intelligent agents interacting with heterogeneous environments, has surged significantly across diverse scientific domains in recent years.…

系统与控制 · 电气工程与系统科学 2025-09-16 Wei Zhang , Jr-Shin Li

This paper proposes an on-policy reinforcement learning (RL) control algorithm that solves the optimal regulation problem for a class of uncertain continuous-time nonlinear systems under user-defined state constraints. We formulate the safe…

系统与控制 · 电气工程与系统科学 2022-09-20 Soutrik Bandyopadhyay , Shubhendu Bhasin

We study the discrete-time linear-quadratic (LQ) control model using reinforcement learning (RL). Using entropy to measure the cost of exploration, we prove that the optimal feedback policy for the problem must be Gaussian type. Then, we…

机器学习 · 统计学 2025-02-05 Lucky Li

This paper studies satisfaction of temporal properties on unknown stochastic processes that have continuous state spaces. We show how reinforcement learning (RL) can be applied for computing policies that are finite-memory and deterministic…

系统与控制 · 电气工程与系统科学 2020-09-29 Milad Kazemi , Sadegh Soudjani

We investigate an entropy-regularized reinforcement learning (RL) approach to optimal stopping problems motivated by real option models. Classical stopping rules are strict and non-randomized, limiting natural exploration in RL settings. To…

最优化与控制 · 数学 2026-02-18 Jodi Dianetti , Giorgio Ferrari , Renyuan Xu
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