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We address the reachability problem for continuous-time stochastic dynamic systems. Our objective is to present a unified framework that characterizes the reachable set of a dynamic system in the presence of both stochastic disturbances and…

系统与控制 · 电气工程与系统科学 2024-09-04 Saber Jafarpour , Zishun Liu , Yongxin Chen

Hamilton-Jacobi Reachability (HJR) analysis has been successfully used in many robotics and control tasks, and is especially effective in computing reach-avoid sets and control laws that enable an agent to reach a goal while satisfying…

机器人学 · 计算机科学 2026-02-03 Zheng Gong , Boyang Li , Sylvia Herbert

Deep reinforcement learning has been successfully applied to many control tasks, but the application of such agents in safety-critical scenarios has been limited due to safety concerns. Rigorous testing of these controllers is challenging,…

人工智能 · 计算机科学 2020-07-09 Edoardo Bacci , David Parker

Training-time safety violations have been a major concern when we deploy reinforcement learning algorithms in the real world. This paper explores the possibility of safe RL algorithms with zero training-time safety violations in the…

机器学习 · 计算机科学 2022-03-14 Yuping Luo , Tengyu Ma

We develop provably safe and convergent reinforcement learning (RL) algorithms for control of nonlinear dynamical systems, bridging the gap between the hard safety guarantees of control theory and the convergence guarantees of RL theory.…

Recently, there has been a surge in interest in safe and robust techniques within reinforcement learning (RL). Current notions of risk in RL fail to capture the potential for systemic failures such as abrupt stoppages from system failures…

系统与控制 · 计算机科学 2019-10-09 David Mguni

Learning-enabled control systems have demonstrated impressive empirical performance on challenging control problems in robotics, but this performance comes at the cost of reduced transparency and lack of guarantees on the safety or…

机器人学 · 计算机科学 2022-12-21 Charles Dawson , Sicun Gao , Chuchu Fan

Designing controllers that accomplish tasks while guaranteeing safety constraints remains a significant challenge. We often want an agent to perform well in a nominal task, such as environment exploration, while ensuring it can avoid unsafe…

系统与控制 · 电气工程与系统科学 2025-06-04 Azra Begzadić , Nikhil Uday Shinde , Sander Tonkens , Dylan Hirsch , Kaleb Ugalde , Michael C. Yip , Jorge Cortés , Sylvia Herbert

This paper presents a risk-aware safe reinforcement learning (RL) control design for stochastic discrete-time linear systems. Rather than using a safety certifier to myopically intervene with the RL controller, a risk-informed safe…

系统与控制 · 电气工程与系统科学 2025-05-16 Babak Esmaeili , Nariman Niknejad , Hamidreza Modares

Recently, safe reinforcement learning (RL) with the actor-critic structure for continuous control tasks has received increasing attention. It is still challenging to learn a near-optimal control policy with safety and convergence…

机器学习 · 计算机科学 2024-02-06 Xinglong Zhang , Yaoqian Peng , Biao Luo , Wei Pan , Xin Xu , Haibin Xie

Ensuring safety is important for the practical deployment of reinforcement learning (RL). Various challenges must be addressed, such as handling stochasticity in the environments, providing rigorous guarantees of persistent state-wise…

机器学习 · 计算机科学 2023-09-26 Milan Ganai , Zheng Gong , Chenning Yu , Sylvia Herbert , Sicun Gao

To provide safety guarantees for learning-based control systems, recent work has developed formal verification methods to apply after training ends. However, if the trained policy does not meet the specifications, or there is conservatism…

系统与控制 · 电气工程与系统科学 2025-04-24 Puja Chaudhury , Alexander Estornell , Michael Everett

Designing controllers with provable formal guarantees has become an urgent requirement for cyber-physical systems in safety-critical scenarios. Beyond addressing scalability in high-dimensional implementations, controller synthesis…

系统与控制 · 电气工程与系统科学 2025-05-07 Jianqiang Ding , Dingran Yuan , Shankar A. Deka

Intercepting dynamic objects in uncertain environments involves a significant unresolved challenge in modern robotic systems. Current control approaches rely solely on estimated information, and results lack guarantees of robustness and…

机器人学 · 计算机科学 2025-12-16 Tommaso Faraci , Roberto Lampariello

This letter proposes a novel sampled-data model predictive control framework for continuous control-affine nonlinear systems that provides rigorous reach-avoid and recursive feasibility guarantees under physical constraints. By propagating…

最优化与控制 · 数学 2026-04-07 Jianqiang Ding , Nishant Jayesh Bhave , Shankar A. Deka

Reach-Avoid-Stay (RAS) optimal control enables systems such as robots and air taxis to reach their targets, avoid obstacles, and stay near the target. However, current methods for RAS often struggle with handling complex, dynamic…

系统与控制 · 电气工程与系统科学 2024-10-10 Gabriel Chenevert , Jingqi Li , Achyuta kannan , Sangjae Bae , Donggun Lee

Constrained reinforcement learning (CRL) has gained significant interest recently, since safety constraints satisfaction is critical for real-world problems. However, existing CRL methods constraining discounted cumulative costs generally…

机器学习 · 计算机科学 2022-06-08 Dongjie Yu , Haitong Ma , Shengbo Eben Li , Jianyu Chen

This paper addresses the computation of controlled reach-avoid sets (CRASs) for discrete-time polynomial systems subject to control inputs. A CRAS is a set encompassing initial states from which there exist control inputs driving the system…

系统与控制 · 电气工程与系统科学 2025-06-10 Taoran Wu , Yiling Xue , Dejin Ren , Arvind Easwaran , Martin Fränzle , Bai Xue

We address the problem of safely learning controlled stochastic dynamics from discrete-time trajectory observations, ensuring system trajectories remain within predefined safe regions during both training and deployment. Safety-critical…

机器学习 · 统计学 2026-02-03 Luc Brogat-Motte , Alessandro Rudi , Riccardo Bonalli

This article deals with stochastic processes endowed with the Markov (memoryless) property and evolving over general (uncountable) state spaces. The models further depend on a non-deterministic quantity in the form of a control input, which…

系统与控制 · 计算机科学 2015-09-11 Sofie Haesaert , Robert Babuska , Alessandro Abate