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Safety remains a central challenge in control of dynamical systems, particularly when the boundaries of unsafe sets are complex (e.g., nonconvex, nonsmooth) or unknown. This paper proposes a learning-enabled framework for safety-critical…

Systems and Control · Electrical Eng. & Systems 2025-09-16 Shuo Liu , Zhe Huang , Jun Zeng , Koushil Sreenath , Calin A. Belta

Recent work has demonstrated that problems-- particularly imitation learning and structured prediction-- where a learner's predictions influence the input-distribution it is tested on can be naturally addressed by an interactive approach…

Machine Learning · Computer Science 2014-06-24 Stephane Ross , J. Andrew Bagnell

In this thesis, we consider two simple but typical control problems and apply deep reinforcement learning to them, i.e., to cool and control a particle which is subject to continuous position measurement in a one-dimensional quadratic…

Quantum Physics · Physics 2022-12-15 Zhikang Wang

Optimal and safety-critical control are fundamental problems for stochastic systems, and are widely considered in real-world scenarios such as robotic manipulation and autonomous driving. In this paper, we consider the problem of…

Systems and Control · Electrical Eng. & Systems 2024-05-10 Zhuoyuan Wang , Reece Keller , Xiyu Deng , Kenta Hoshino , Takashi Tanaka , Yorie Nakahira

The paper introduces an interactive machine learning mechanism to process the measurements of an uncertain, nonlinear dynamic process and hence advise an actuation strategy in real-time. For concept demonstration, a trajectory-following…

Systems and Control · Electrical Eng. & Systems 2023-03-16 Mohammed Abouheaf , Derek Boase , Wail Gueaieb , Davide Spinello , Salah Al-Sharhan

We present a deep reinforcement learning (deep RL) algorithm that consists of learning-based motion planning and imitation to tackle challenging control problems. Deep RL has been an effective tool for solving many high-dimensional…

Robotics · Computer Science 2023-03-02 Nitish Sontakke , Sehoon Ha

Benders decomposition (BD), along with its generalized version (GBD), is a widely used algorithm for solving large-scale mixed-integer optimization problems that arise in the operation of process systems. However, the off-the-shelf…

Optimization and Control · Mathematics 2025-08-12 Zhe Li , Bernard T. Agyeman , Ilias Mitrai , Prodromos Daoutidis

Current physics-informed (standard or deep operator) neural networks still rely on accurately learning the initial and/or boundary conditions of the system of differential equations they are solving. In contrast, standard numerical methods…

Machine Learning · Computer Science 2024-06-25 Rüdiger Brecht , Dmytro R. Popovych , Alex Bihlo , Roman O. Popovych

Many real-world systems problems require reasoning about the long term consequences of actions taken to configure and manage the system. These problems with delayed and often sequentially aggregated reward, are often inherently…

Machine Learning · Computer Science 2019-09-06 Ameer Haj-Ali , Nesreen K. Ahmed , Ted Willke , Joseph Gonzalez , Krste Asanovic , Ion Stoica

Model predictive control (MPC) is an effective method for controlling robotic systems, particularly autonomous aerial vehicles such as quadcopters. However, application of MPC can be computationally demanding, and typically requires…

Machine Learning · Computer Science 2016-02-17 Tianhao Zhang , Gregory Kahn , Sergey Levine , Pieter Abbeel

Optimization-based solvers play a central role in a wide range of signal processing and communication tasks. However, their applicability in latency-sensitive systems is limited by the sequential nature of iterative methods and the high…

Signal Processing · Electrical Eng. & Systems 2026-03-12 Dvir Avrahami , Amit Milstein , Caroline Chaux , Tirza Routtenberg , Nir Shlezinger

Inverse optimal control, also known as inverse reinforcement learning, is the problem of recovering an unknown reward function in a Markov decision process from expert demonstrations of the optimal policy. We introduce a probabilistic…

Machine Learning · Computer Science 2012-06-22 Sergey Levine , Vladlen Koltun

Classical control of cyber-physical systems used to rely on basic linear controllers. These controllers provided a safe and robust behavior but lack the ability to perform more complex controls such as aggressive maneuvering or performing…

Logic in Computer Science · Computer Science 2019-04-22 Guillaume Davy , Eric Féron , Pierre-Loïc Garoche , Didier Henrion

This paper aims to establish an entropy-regularized value-based reinforcement learning method that can ensure the monotonic improvement of policies at each policy update. Unlike previously proposed lower-bounds on policy improvement in…

Machine Learning · Computer Science 2020-08-26 Lingwei Zhu , Takamitsu Matsubara

Constraint handling plays a key role in solving realistic complex optimization problems. Though intensively discussed in the last few decades, existing constraint handling techniques predominantly rely on human experts' designs, which more…

Neural and Evolutionary Computing · Computer Science 2026-02-03 Qianhao Zhu , Sijie Ma , Zeyuan Ma , Hongshu Guo , Yue-Jiao Gong

We examine the problem of two-point boundary optimal control of nonlinear systems over finite-horizon time periods with unknown model dynamics by employing reinforcement learning. We use techniques from singular perturbation theory to…

Optimization and Control · Mathematics 2023-06-12 Vasanth Reddy , Hoda Eldardiry , Almuatazbellah Boker

A properly designed controller can help improve the quality of experimental measurements or force a dynamical system to follow a completely new time-evolution path. Recent developments in deep reinforcement learning have made steep advances…

Statistical Mechanics · Physics 2025-02-26 Ruslan Mukhamadiarov

An algorithm based on the interior-point methodology for solving continuous nonlinearly constrained optimization problems is proposed, analyzed, and tested. The distinguishing feature of the algorithm is that it presumes that only noisy…

Optimization and Control · Mathematics 2025-02-18 Frank E. Curtis , Shima Dezfulian , Andreas Waechter

Deep Reinforcement Learning (DRL) has become a popular method for solving control problems in power systems. Conventional DRL encourages the agent to explore various policies encoded in a neural network (NN) with the goal of maximizing the…

Systems and Control · Electrical Eng. & Systems 2024-10-28 Tong Wu , Anna Scaglione , Daniel Arnold

This paper focuses on proposing a deep learning initialized iterative method (Int-Deep) for low-dimensional nonlinear partial differential equations (PDEs). The corresponding framework consists of two phases. In the first phase, an…

Numerical Analysis · Mathematics 2020-08-26 Jianguo Huang , Haoqin Wang , Haizhao Yang