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This paper addresses the inverse optimal control problem of finding the state weighting function that leads to a quadratic value function when the cost on the input is fixed to be quadratic. The paper focuses on a class of infinite horizon…

Optimization and Control · Mathematics 2022-11-21 Luis Rodrigues

This work proposes an approach that integrates reinforcement learning and model predictive control (MPC) to solve finite-horizon optimal control problems in mixed-logical dynamical systems efficiently. Optimization-based control of such…

Systems and Control · Electrical Eng. & Systems 2025-04-15 Caio Fabio Oliveira da Silva , Azita Dabiri , Bart De Schutter

Policy iteration is one of the classical frameworks of reinforcement learning, which requires a known initial stabilizing control. However, finding the initial stabilizing control depends on the known system model. To relax this requirement…

Systems and Control · Electrical Eng. & Systems 2025-03-20 Dongdong Li , Jiuxiang Dong

This research paper introduces a model-free optimal controller for discrete-time Markovian jump linear systems (MJLSs), employing principles from the methodology of reinforcement learning (RL). While Q-learning methods have demonstrated…

Systems and Control · Electrical Eng. & Systems 2024-08-07 Ehsan Badfar , Babak Tavassoli

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…

Machine Learning · Statistics 2025-02-05 Lucky Li

Active flow control remains a significant challenge due to the high-dimensional, nonlinear nature of fluid dynamics. Quantum machine learning may prove effective in addressing these issues, given that quantum computing possesses superiority…

Fluid Dynamics · Physics 2026-01-27 Hongfu Zhang , Hui Tang

This paper studies a class of continuous-time scalar-state stochastic Linear-Quadratic (LQ) optimal control problem with the linear control constraints. Applying the state separation theorem induced from its special structure, we develop…

Portfolio Management · Quantitative Finance 2018-06-12 Weiping Wu , Jianjun Gao , Junguo Lu , Xun Li

In recent years, $Q$-learning has become indispensable for model-free reinforcement learning (MFRL). However, it suffers from well-known problems such as under- and overestimation bias of the value, which may adversely affect the policy…

Machine Learning · Computer Science 2021-02-09 Youngmin Oh , Jinwoo Shin , Eunho Yang , Sung Ju Hwang

Reinforcement learning is a model-free optimal control method that optimizes a control policy through direct interaction with the environment. For reaching tasks that end in regulation, popular discrete-action methods are not well suited…

Robotics · Computer Science 2021-06-23 Wouter Caarls

In this paper, an off-policy reinforcement learning algorithm is designed to solve the continuous-time LQR problem using only input-state data measured from the system. Different from other algorithms in the literature, we propose the use…

Systems and Control · Electrical Eng. & Systems 2023-04-03 Victor G. Lopez , Matthias A. Müller

Applications of reinforcement learning (RL) to stabilization problems of real systems are restricted since an agent needs many experiences to learn an optimal policy and may determine dangerous actions during its exploration. If we know a…

Machine Learning · Computer Science 2021-04-20 Junya Ikemoto , Toshimitsu Ushio

Model-free Reinforcement Learning (RL) works well when experience can be collected cheaply and model-based RL is effective when system dynamics can be modeled accurately. However, both assumptions can be violated in real world problems such…

Machine Learning · Computer Science 2020-05-07 Mohak Bhardwaj , Ankur Handa , Dieter Fox , Byron Boots

Non-stationarity is a fundamental challenge in multi-agent reinforcement learning (MARL), where agents update their behaviour as they learn. Many theoretical advances in MARL avoid the challenge of non-stationarity by coordinating the…

Computer Science and Game Theory · Computer Science 2025-03-19 Bora Yongacoglu , Gürdal Arslan , Serdar Yüksel

A common pipeline in learning-based control is to iteratively estimate a model of system dynamics, and apply a trajectory optimization algorithm - e.g.~$\mathtt{iLQR}$ - on the learned model to minimize a target cost. This paper conducts a…

Machine Learning · Computer Science 2023-05-17 Daniel Pfrommer , Max Simchowitz , Tyler Westenbroek , Nikolai Matni , Stephen Tu

The field of quickest change detection (QCD) focuses on the design and analysis of online algorithms that estimate the time at which a significant event occurs. In this paper, design and analysis are cast in a Bayesian framework, where QCD…

Optimization and Control · Mathematics 2025-12-30 Austin Cooper , Sean Meyn

In the past few years, off-policy reinforcement learning methods have shown promising results in their application for robot control. Deep Q-learning, however, still suffers from poor data-efficiency and is susceptible to stochasticity in…

Machine Learning · Computer Science 2020-08-17 Gabriel Kalweit , Maria Huegle , Joschka Boedecker

Q-learning is a widely used reinforcement learning technique for solving path planning problems. It primarily involves the interaction between an agent and its environment, enabling the agent to learn an optimal strategy that maximizes…

Robotics · Computer Science 2024-12-18 Yiming Ji , Kaijie Yun , Yang Liu , Zongwu Xie , Hong Liu

Reinforcement learning (RL) algorithms for real-world robotic applications need a data-efficient learning process and the ability to handle complex, unknown dynamical systems. These requirements are handled well by model-based and…

Robotics · Computer Science 2017-06-20 Yevgen Chebotar , Karol Hausman , Marvin Zhang , Gaurav Sukhatme , Stefan Schaal , Sergey Levine

Reinforcement learning (RL) for continuous control often requires large amounts of online interaction data. Value-based RL methods can mitigate this burden by offering relatively high sample efficiency. Some studies further enhance sample…

Machine Learning · Computer Science 2025-05-30 Jijia Liu , Feng Gao , Qingmin Liao , Chao Yu , Yu Wang

Clinical decision-making often involves selecting tests that are costly, invasive, or time-consuming, motivating individualized, sequential strategies for what to measure and when to stop ascertaining. We study the problem of learning…

Machine Learning · Statistics 2026-04-16 Doudou Zhou , Yiran Zhang , Dian Jin , Yingye Zheng , Lu Tian , Tianxi Cai
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