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In this paper, we investigate a special class of quadratic-constrained quadratic programming (QCQP) with semi-definite constraints. Traditionally, since such a problem is non-convex and N-hard, the neural network (NN) is regarded as a…

Machine Learning · Computer Science 2024-07-10 Xiucheng Wang , Qi Qiu , Nan Cheng

We study the adaptive control of an unknown linear system with a quadratic cost function subject to safety constraints on both the states and actions. The challenges of this problem arise from the tension among safety, exploration,…

Systems and Control · Electrical Eng. & Systems 2021-11-02 Yingying Li , Subhro Das , Jeff Shamma , Na Li

With the increase in data availability, it has been widely demonstrated that neural networks (NN) can capture complex system dynamics precisely in a data-driven manner. However, the architectural complexity and nonlinearity of the NNs make…

Systems and Control · Electrical Eng. & Systems 2023-08-29 Shaoru Chen , Kong Yao Chee , Nikolai Matni , M. Ani Hsieh , George J. Pappas

A new approach to design of nonlinear observers (state estimators) is proposed. The main idea is to (i) construct a convex set of dynamical systems which are contracting observers for a particular system, and (ii) optimize over this set for…

Systems and Control · Computer Science 2017-11-23 Ian R. Manchester

The field of quickest change detection (QCD) concerns design and analysis of algorithms to estimate in real time the time at which an important event takes place, and identify properties of the post-change behavior. It is shown in this…

Optimization and Control · Mathematics 2024-09-16 Austin Cooper , Sean Meyn

In real-world reinforcement learning (RL) systems, various forms of {\it impaired observability} can complicate matters. These situations arise when an agent is unable to observe the most recent state of the system due to latency or lossy…

Machine Learning · Computer Science 2023-10-30 Minshuo Chen , Jie Meng , Yu Bai , Yinyu Ye , H. Vincent Poor , Mengdi Wang

In this paper, we present a method to control a quadrotor with a neural network trained using reinforcement learning techniques. With reinforcement learning, a common network can be trained to directly map state to actuator command making…

Robotics · Computer Science 2017-07-18 Jemin Hwangbo , Inkyu Sa , Roland Siegwart , Marco Hutter

In many real-world applications, reinforcement learning (RL) agents might have to solve multiple tasks, each one typically modeled via a reward function. If reward functions are expressed linearly, and the agent has previously learned a set…

Machine Learning · Computer Science 2022-06-24 Lucas N. Alegre , Ana L. C. Bazzan , Bruno C. da Silva

We propose a reinforcement learning (RL) scheme for feedback quantum control within the quan-tum approximate optimization algorithm (QAOA). QAOA requires a variational minimization for states constructed by applying a sequence of unitary…

Quantum Physics · Physics 2020-09-23 Matteo M. Wauters , Emanuele Panizon , Glen B. Mbeng , Giuseppe E. Santoro

Reinforcement Learning (RL) has opened up new opportunities to enhance existing smart systems that generally include a complex decision-making process. However, modern RL algorithms, e.g., Deep Q-Networks (DQN), are based on deep neural…

Machine Learning · Computer Science 2023-06-22 Yang Ni , Danny Abraham , Mariam Issa , Yeseong Kim , Pietro Mercati , Mohsen Imani

Policy gradient methods are a powerful family of reinforcement learning algorithms for continuous control that optimize a policy directly. However, standard first-order methods often converge slowly. Second-order methods can accelerate…

Systems and Control · Electrical Eng. & Systems 2025-11-05 Amirreza Valaei , Arash Bahari Kordabad , Sadegh Soudjani

Safe reinforcement learning (RL) aims to learn policies that satisfy certain constraints before deploying them to safety-critical applications. Previous primal-dual style approaches suffer from instability issues and lack optimality…

Machine Learning · Computer Science 2022-06-20 Zuxin Liu , Zhepeng Cen , Vladislav Isenbaev , Wei Liu , Zhiwei Steven Wu , Bo Li , Ding Zhao

Model-Free Reinforcement Learning (RL) algorithms either learn how to map states to expected rewards or search for policies that can maximize a certain performance function. Model-Based algorithms instead, aim to learn an approximation of…

Machine Learning · Computer Science 2024-11-19 Juan Cardenas-Cartagena , Massimiliano Falzari , Marco Zullich , Matthia Sabatelli

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.…

Systems and Control · Electrical Eng. & Systems 2025-09-16 Wei Zhang , Jr-Shin Li

Quantum sensors offer control flexibility during estimation by allowing manipulation by the experimenter across various parameters. For each sensing platform, pinpointing the optimal controls to enhance the sensor's precision remains a…

Quantum Physics · Physics 2024-12-11 Federico Belliardo , Fabio Zoratti , Florian Marquardt , Vittorio Giovannetti

In this paper, we consider reinforcement learning of nonlinear systems with continuous state and action spaces. We present an episodic learning algorithm, where we for each episode use convex optimization to find a two-layer neural network…

Optimization and Control · Mathematics 2024-06-25 Ather Gattami

This paper studies data-driven approaches to the continuous-time linear quadratic regulator (LQR) problem based on two existing parameterizations, namely a closed-loop (CL) parameterization from behavioral system theory and an integral…

Optimization and Control · Mathematics 2026-05-01 Armin Gießler , Felix Thömmes , Sören Hohmann

We propose a policy improvement algorithm for Reinforcement Learning (RL) which is called Rerouted Behavior Improvement (RBI). RBI is designed to take into account the evaluation errors of the Q-function. Such errors are common in RL when…

Machine Learning · Computer Science 2019-07-12 Elad Sarafian , Aviv Tamar , Sarit Kraus

We study the safe reinforcement learning problem with nonlinear function approximation, where policy optimization is formulated as a constrained optimization problem with both the objective and the constraint being nonconvex functions. For…

Machine Learning · Computer Science 2019-10-29 Ming Yu , Zhuoran Yang , Mladen Kolar , Zhaoran Wang

Solving nonlinear optimal control problems is a challenging task, particularly for high-dimensional problems. We propose algorithms for model-based policy iterations to solve nonlinear optimal control problems with convergence guarantees.…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Yiming Meng , Ruikun Zhou , Amartya Mukherjee , Maxwell Fitzsimmons , Christopher Song , Jun Liu
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