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We consider model-free reinforcement learning (RL) in non-stationary Markov decision processes. Both the reward functions and the state transition functions are allowed to vary arbitrarily over time as long as their cumulative variations do…

Machine Learning · Computer Science 2022-08-23 Weichao Mao , Kaiqing Zhang , Ruihao Zhu , David Simchi-Levi , Tamer Başar

This paper presents a robust adaptive learning Model Predictive Control (MPC) framework for linear systems with parametric uncertainties and additive disturbances performing iterative tasks. The approach refines the parameter estimates…

Systems and Control · Electrical Eng. & Systems 2025-09-04 Hannes Petrenz , Johannes Köhler , Francesco Borrelli

Recent model-free reinforcement learning algorithms have proposed incorporating learned dynamics models as a source of additional data with the intention of reducing sample complexity. Such methods hold the promise of incorporating imagined…

Machine Learning · Computer Science 2018-03-02 Vladimir Feinberg , Alvin Wan , Ion Stoica , Michael I. Jordan , Joseph E. Gonzalez , Sergey Levine

We propose a new methodology for parameterized constrained robust optimization, an important class of optimization problems under uncertainty, based on learning with a self-supervised penalty-based loss function. Whereas supervised learning…

Optimization and Control · Mathematics 2025-03-10 Wyame Benslimane , Paul Grigas

Reinforcement learning (RL) is a control approach that can handle nonlinear stochastic optimal control problems. However, despite the promise exhibited, RL has yet to see marked translation to industrial practice primarily due to its…

Machine Learning · Computer Science 2021-04-15 Elton Pan , Panagiotis Petsagkourakis , Max Mowbray , Dongda Zhang , Antonio del Rio-Chanona

The objective of this research is to enable safety-critical systems to simultaneously learn and execute optimal control policies in a safe manner to achieve complex autonomy. Learning optimal policies via trial and error, i.e., traditional…

Systems and Control · Electrical Eng. & Systems 2022-04-05 S M Nahid Mahmud , Moad Abudia , Scott A Nivison , Zachary I. Bell , Rushikesh Kamalapurkar

In this article, a model predictive control (MPC) method is proposed for constrained linear systems to track bounded references with arbitrary dynamics. Besides control inputs to be determined, artificial reference is introduced as…

Systems and Control · Electrical Eng. & Systems 2025-03-27 Shibo Han , Bonan Hou , Yuhao Zhang , Xiaotong Shi , Xingwei Zhao

Many of the observations we make are biased by our decisions. For instance, the demand of items is impacted by the prices set, and online checkout choices are influenced by the assortments presented. The challenge in decision-making under…

Machine Learning · Computer Science 2025-07-02 Rares Cristian , Pavithra Harsha , Georgia Perakis , Brian Quanz

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)…

Systems and Control · Electrical Eng. & Systems 2021-09-29 Krishna C. Kalagarla , Rahul Jain , Pierluigi Nuzzo

The problem of reinforcement learning is considered where the environment or the model undergoes a change. An algorithm is proposed that an agent can apply in such a problem to achieve the optimal long-time discounted reward. The algorithm…

Systems and Control · Electrical Eng. & Systems 2023-04-25 Wuxia Chen , Taposh Banerjee , Jemin George , Carl Busart

We examine the minimization of a quadratic cost functional composed of the output and the final state of abstract infinite-dimensional evolution equations in view of existence of solutions and optimality conditions. While the initial value…

Optimization and Control · Mathematics 2024-12-20 Timo Reis , Manuel Schaller

In this paper, we investigate discounted economic model predictive control (E-MPC) schemes without terminal conditions in scenarios where the optimal operating behavior is a periodic orbit. For such a setting, it is known that a linearly…

Optimization and Control · Mathematics 2025-03-13 Lukas Schwenkel , Daniel Briem , Matthias A. Müller , Frank Allgöwer

We extend the standard reinforcement learning framework to random time horizons. While the classical setting typically assumes finite and deterministic or infinite runtimes of trajectories, we argue that multiple real-world applications…

Machine Learning · Computer Science 2025-08-15 Enric Ribera Borrell , Lorenz Richter , Christof Schütte

We consider the problem of designing a control policy for an infinite-horizon discounted cost Markov decision process $\mathcal{M}$ when we only have access to an approximate model $\hat{\mathcal{M}}$. How well does an optimal policy…

Optimization and Control · Mathematics 2024-02-15 Berk Bozkurt , Aditya Mahajan , Ashutosh Nayyar , Yi Ouyang

We study the inverse optimal control problem in social sciences: we aim at learning a user's true cost function from the observed temporal behavior. In contrast to traditional phenomenological works that aim to learn a generative model to…

Machine Learning · Computer Science 2018-05-23 Yichen Wang , Le Song , Hongyuan Zha

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…

Optimization and Control · Mathematics 2022-12-27 Christoph Reisinger , Wolfgang Stockinger , Yufei Zhang

This manuscript contains technical results related to a particular approach for the design of Model Predictive Control (MPC) laws. The approach, named "generalized" terminal state constraint, induces the recursive feasibility of the…

Systems and Control · Computer Science 2013-07-16 Lorenzo Fagiano , Andrew R. Teel

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

This paper studies an infinite horizon optimal tracking portfolio problem using capital injection in incomplete market models. The benchmark process is modelled by a geometric Brownian motion with zero drift driven by some unhedgeable risk.…

Portfolio Management · Quantitative Finance 2024-11-01 Lijun Bo , Yijie Huang , Xiang Yu

In recent years, deep reinforcement learning has emerged as a technique to solve closed-loop flow control problems. Employing simulation-based environments in reinforcement learning enables a priori end-to-end optimization of the control…

Fluid Dynamics · Physics 2024-04-11 Andre Weiner , Janis Geise
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