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This paper investigates a type of instability that is linked to the greedy policy improvement in approximated reinforcement learning. We show empirically that non-deterministic policy improvement can stabilize methods like LSPI by…

人工智能 · 计算机科学 2016-12-23 Wendelin Böhmer , Rong Guo , Klaus Obermayer

We present a unified framework for learning continuous control policies using backpropagation. It supports stochastic control by treating stochasticity in the Bellman equation as a deterministic function of exogenous noise. The product is a…

机器学习 · 计算机科学 2015-11-02 Nicolas Heess , Greg Wayne , David Silver , Timothy Lillicrap , Yuval Tassa , Tom Erez

This paper deals with the problem of covariance stabilization for a class of linear stochastic discrete-time systems in the Stochastic Model Predictive Control (SMPC) framework. The considered systems are affected by independent and…

系统与控制 · 电气工程与系统科学 2026-05-11 Kaouther Moussa , Dimitri Peaucelle

Linear dynamical systems are canonical models for learning-based control of plants with uncertain dynamics. The setting consists of a stochastic differential equation that captures the state evolution of the plant understudy, while the true…

系统与控制 · 电气工程与系统科学 2022-01-03 Mohamad Kazem Shirani Faradonbeh , Mohamad Sadegh Shirani Faradonbeh

This paper addresses the problem of risk-aware fixed-time stabilization of a class of uncertain, output-feedback nonlinear systems modeled via stochastic differential equations. First, novel classes of certificate functions, namely…

最优化与控制 · 数学 2024-04-01 Mitchell Black , Georgios Fainekos , Bardh Hoxha , Dimitra Panagou

In this paper, we present an online reinforcement learning algorithm for constrained Markov decision processes with a safety constraint. Despite the necessary attention of the scientific community, considering stochastic stopping time, the…

机器学习 · 计算机科学 2024-03-26 Abhijit Mazumdar , Rafal Wisniewski , Manuela L. Bujorianu

This article presents novel methods for synthesizing distributionally robust stabilizing neural controllers and certificates for control systems under model uncertainty. A key challenge in designing controllers with stability guarantees for…

系统与控制 · 电气工程与系统科学 2024-08-06 Kehan Long , Jorge Cortes , Nikolay Atanasov

State-space models (SSMs) are a highly expressive model class for learning patterns in time series data and for system identification. Deterministic versions of SSMs (e.g. LSTMs) proved extremely successful in modeling complex time series…

Policy learning for partially observed control tasks requires policies that can remember salient information from past observations. In this paper, we present a method for learning policies with internal memory for high-dimensional,…

机器学习 · 计算机科学 2015-09-24 Marvin Zhang , Zoe McCarthy , Chelsea Finn , Sergey Levine , Pieter Abbeel

We consider the problem of designing control laws for stochastic jump linear systems where the disturbances are drawn randomly from a finite sample space according to an unknown distribution, which is estimated from a finite sample of…

系统与控制 · 计算机科学 2019-10-31 Mathijs Schuurmans , Pantelis Sopasakis , Panagiotis Patrinos

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…

系统与控制 · 电气工程与系统科学 2025-03-20 Dongdong Li , Jiuxiang Dong

In this paper, we propose a novel framework for approximating the explicit MPC law for linear parameter-varying systems using supervised learning. In contrast to most existing approaches, we not only learn the control policy, but also a…

机器学习 · 计算机科学 2019-06-21 Xiaojing Zhang , Monimoy Bujarbaruah , Francesco Borrelli

Ensuring safety and meeting temporal specifications are critical challenges for long-term robotic tasks. Signal temporal logic (STL) has been widely used to systematically and rigorously specify these requirements. However, traditional…

机器学习 · 计算机科学 2023-09-12 Yue Meng , Chuchu Fan

This paper formulates a stochastic optimal control problem for linear networked control systems featuring stochastic packet disordering with a unique stabilizing solution certified. The problem is solved by proposing reinforcement learning…

系统与控制 · 电气工程与系统科学 2023-12-13 Wenqian Xue , Yi Jiang , Frank L. Lewis , Bosen Lian

We study data-driven learning of robust stochastic control for infinite-horizon systems with potentially continuous state and action spaces. In many managerial settings--supply chains, finance, manufacturing, services, and dynamic…

机器学习 · 统计学 2025-11-18 Shengbo Wang , Jason Meng , Nian Si , Jose Blanchet , Zhengyuan Zhou

This paper presents a novel approach to reinforcement learning (RL) for control systems that provides probabilistic stability guarantees using finite data. Leveraging Lyapunov's method, we propose a probabilistic stability theorem that…

机器学习 · 计算机科学 2026-03-03 Minghao Han , Lixian Zhang , Chenliang Liu , Zhipeng Zhou , Jun Wang , Wei Pan

Many of the challenges facing today's reinforcement learning (RL) algorithms, such as robustness, generalization, transfer, and computational efficiency are closely related to compression. Prior work has convincingly argued why minimizing…

机器学习 · 计算机科学 2021-09-08 Benjamin Eysenbach , Ruslan Salakhutdinov , Sergey Levine

This paper is concerned with the problem of Model Predictive Control and Rolling Horizon Control of discrete-time systems subject to possibly unbounded random noise inputs, while satisfying hard bounds on the control inputs. We use a…

最优化与控制 · 数学 2010-09-08 Peter Hokayem , Debasish Chatterjee , John Lygeros

We address the problem of designing stabilizing control policies for nonlinear systems in discrete-time, while minimizing an arbitrary cost function. When the system is linear and the cost is convex, the System Level Synthesis (SLS)…

系统与控制 · 电气工程与系统科学 2023-01-03 Luca Furieri , Clara Lucía Galimberti , Giancarlo Ferrari-Trecate

We develop a continuous-time reinforcement learning framework for a class of singular stochastic control problems without entropy regularization. The optimal singular control is characterized as the optimal singular control law, which is a…

最优化与控制 · 数学 2026-05-14 Zongxia Liang , Xiaodong Luo , Xiang Yu