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While we have made significant algorithmic developments to enable autonomous systems to perform sophisticated tasks, it remains difficult for them to perform tasks effective and safely. Most existing approaches either fail to provide any…

Robotics · Computer Science 2025-07-01 Hao Wang , Armand Jordana , Ludovic Righetti , Somil Bansal

Safety assurance is a critical yet challenging aspect when developing self-driving technologies. Hamilton-Jacobi backward-reachability analysis is a formal verification tool for verifying the safety of dynamic systems in the presence of…

Robotics · Computer Science 2021-06-08 Ran Tian , Anjian Li , Masayoshi Tomizuka , Liting Sun

The proven efficacy of learning-based control schemes strongly motivates their application to robotic systems operating in the physical world. However, guaranteeing correct operation during the learning process is currently an unresolved…

Ensuring the safety of autonomous systems under uncertainty is a critical challenge. Hamilton-Jacobi reachability (HJR) analysis is a widely used method for guaranteeing safety under worst-case disturbances. In this work, we propose HJRNO,…

Robotics · Computer Science 2025-06-09 Yankai Li , Mo Chen

Recently, there has been immense interest in using unmanned aerial vehicles (UAVs) for civilian operations such as package delivery, firefighting, and fast disaster response. As a result, UAV traffic management systems are needed to support…

Systems and Control · Computer Science 2016-03-22 Mo Chen , Qie Hu , Casey Mackin , Jaime F. Fisac , Claire J. Tomlin

Hamilton-Jacobi (HJ) reachability analysis is an important formal verification method for guaranteeing performance and safety properties of dynamical systems; it has been applied to many small-scale systems in the past decade. Its…

Systems and Control · Computer Science 2017-09-25 Somil Bansal , Mo Chen , Sylvia Herbert , Claire J. Tomlin

With the recent surge of interest in introducing autonomous vehicles to the everyday lives of people, developing accurate and generalizable algorithms for predicting human behavior becomes highly crucial. Moreover, many of these emerging…

Systems and Control · Computer Science 2019-03-20 Jennifer Shih

Racing demands each vehicle to drive at its physical limits, when any safety infraction could lead to catastrophic failure. In this work, we study the problem of safe reinforcement learning (RL) for autonomous racing, using the vehicle's…

Robotics · Computer Science 2021-12-02 Bingqing Chen , Jonathan Francis , Jean Oh , Eric Nyberg , Sylvia L. Herbert

Autonomous systems like aircraft and assistive robots often operate in scenarios where guaranteeing safety is critical. Methods like Hamilton-Jacobi reachability can provide guaranteed safe sets and controllers for such systems. However,…

Hamilton-Jacobi (HJ) reachability analysis is a widely used method for ensuring the safety of robotic systems. Traditional approaches compute reachable sets by numerically solving an HJ Partial Differential Equation (PDE) over a grid, which…

Robotics · Computer Science 2025-05-08 Zeyuan Feng , Le Qiu , Somil Bansal

Autonomous robots commonly aim to complete a nominal behavior while minimizing a cost; this leaves them vulnerable to failure or unplanned scenarios, where a backup or contingency plan to a safe set is needed to avoid a total mission…

Robotics · Computer Science 2026-03-31 Raj Harshit Srirangam , Leonard Jung , Rohith Poola , Michael Everett

Provably safe and scalable multi-vehicle trajectory planning is an important and urgent problem. Hamilton-Jacobi (HJ) reachability is an ideal tool for analyzing such safety-critical systems and has been successfully applied to several…

Systems and Control · Computer Science 2017-11-08 Somil Bansal , Mo Chen , Claire J. Tomlin

This paper works towards unifying two popular approaches in the safety control community: Hamilton-Jacobi (HJ) reachability and Control Barrier Functions (CBFs). HJ Reachability has methods for direct construction of value functions that…

Systems and Control · Electrical Eng. & Systems 2021-10-26 Jason J. Choi , Donggun Lee , Koushil Sreenath , Claire J. Tomlin , Sylvia L. Herbert

Hybrid dynamical systems with nonlinear dynamics are one of the most general modeling tools for representing robotic systems, especially contact-rich systems. However, providing guarantees regarding the safety or performance of nonlinear…

Robotics · Computer Science 2025-01-10 Javier Borquez , Shuang Peng , Yiyu Chen , Quan Nguyen , Somil Bansal

Recent advances in machine learning technologies and sensing have paved the way for the belief that safe, accessible, and convenient autonomous vehicles may be realized in the near future. Despite tremendous advances within this context,…

Hamilton-Jacobi (HJ) reachability analysis is a powerful framework for ensuring safety and performance in autonomous systems. However, existing methods typically rely on a white-box dynamics model of the system, limiting their applicability…

Systems and Control · Electrical Eng. & Systems 2024-10-31 Vamsi Krishna Chilakamarri , Zeyuan Feng , Somil Bansal

Safety assurance is a fundamental requirement for deploying learning-enabled autonomous systems. Hamilton-Jacobi (HJ) reachability analysis is a fundamental method for formally verifying safety and generating safe controllers. However,…

Machine Learning · Computer Science 2025-11-21 Ihab Tabbara , Yuxuan Yang , Hussein Sibai

Recently, there has been immense interest in using unmanned aerial vehicles (UAVs) for civilian operations. As a result, unmanned aerial systems traffic management is needed to ensure the safety and goal satisfaction of potentially…

Multiagent Systems · Computer Science 2017-02-01 Mo Chen , Qie Hu , Jaime Fisac , Kene Akametalu , Casey Mackin , Claire Tomlin

Learning-based approaches for controlling safety-critical systems are rapidly growing in popularity; thus, it is important to assure their performance and safety. Hamilton-Jacobi (HJ) reachability analysis is a popular formal verification…

Robotics · Computer Science 2024-04-11 Albert Lin , Somil Bansal

Autonomous coverage of a specified area by robots operating in close proximity with each other has many potential applications such as real-time monitoring of rapidly changing environments, and search and rescue; however, coordination and…

Multiagent Systems · Computer Science 2020-09-28 Juan Chacon , Mo Chen , Razvan Fetecau