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Related papers: Infusing Reachability-Based Safety into Planning a…

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Action anticipation, intent prediction, and proactive behavior are all desirable characteristics for autonomous driving policies in interactive scenarios. Paramount, however, is ensuring safety on the road --- a key challenge in doing so is…

Robotics · Computer Science 2019-01-01 Karen Leung , Edward Schmerling , Mo Chen , John Talbot , J. Christian Gerdes , Marco Pavone

Action anticipation, intent prediction, and proactive behavior are all desirable characteristics for autonomous driving policies in interactive scenarios. Paramount, however, is ensuring safety on the road -- a key challenge in doing so is…

Hamilton-Jacobi (HJ) reachability is a rigorous mathematical framework that enables robots to simultaneously detect unsafe states and generate actions that prevent future failures. While in theory, HJ reachability can synthesize safe…

Robotics · Computer Science 2025-12-16 Kensuke Nakamura , Lasse Peters , Andrea Bajcsy

Safety is an important topic in autonomous driving since any collision may cause serious injury to people and damage to property. Hamilton-Jacobi (HJ) Reachability is a formal method that verifies safety in multi-agent interaction and…

Robotics · Computer Science 2021-05-24 Anjian Li , Liting Sun , Wei Zhan , Masayoshi Tomizuka , Mo Chen

Hamilton-Jacobi (HJ) reachability analysis has been developed over the past decades into a widely-applicable tool for determining goal satisfaction and safety verification in nonlinear systems. While HJ reachability can be formulated very…

Robotics · Computer Science 2020-03-13 Vicenc Rubies-Royo , David Fridovich-Keil , Sylvia Herbert , Claire J. Tomlin

Multi-agent differential games are important and useful tools for analyzing many practical problems. With the recent surge of interest in using UAVs for civil purposes, the importance and urgency of developing tractable multi-agent analysis…

Systems and Control · Computer Science 2016-10-05 Mo Chen , Jennifer C. Shih , Claire J. Tomlin

Hamilton-Jacobi (HJ) reachability-based filtering provides a powerful framework to co-optimize performance and safety (or liveness) for autonomous systems. Under this filtering scheme, a nominal controller is minimally modified to ensure…

Robotics · Computer Science 2024-08-20 Javier Borquez , Kaustav Chakraborty , Hao Wang , Somil Bansal

Hamilton-Jacobi (HJ) reachability provides formal safety guarantees for dynamical systems, but solving high-dimensional HJ partial differential equations limits its use in real-time planning. This paper presents a contingency-aware…

Robotics · Computer Science 2026-03-19 Kasidit Muenprasitivej , Derya Aksaray

As safety-critical autonomous vehicles (AVs) will soon become pervasive in our society, a number of safety concepts for trusted AV deployment have recently been proposed throughout industry and academia. Yet, achieving consensus on an…

Robotics · Computer Science 2022-06-22 Karen Leung , Andrea Bajcsy , Edward Schmerling , Marco Pavone

Road safety continues to be a pressing global issue, with vehicle collisions imposing significant human, societal, and economic burdens. Human-machine shared collision avoidance in critical collision scenarios aims to aid drivers' accident…

Robotics · Computer Science 2025-09-03 Shiyue Zhao , Junzhi Zhang , Rui Zhou , Neda Masoud , Jianxiong Li , Helai Huang , Shijie Zhao

Recently there have been a lot of interests in introducing UAVs for a wide range of applications, making ensuring safety of multi-vehicle systems a highly crucial problem. Hamilton-Jacobi (HJ) reachability is a promising tool for analyzing…

Robotics · Computer Science 2021-08-06 Jennifer C. Shih , Laurent El Ghaoui

Multi-vehicle collision avoidance is a highly crucial problem due to the soaring interests of introducing autonomous vehicles into the real world in recent years. The safety of these vehicles while they complete their objectives is of…

Robotics · Computer Science 2021-09-28 Jennifer C. Shih , Akshara Rai , Laurent El Ghaoui

Recent literature has proposed approaches that learn control policies with high performance while maintaining safety guarantees. Synthesizing Hamilton-Jacobi (HJ) reachable sets has become an effective tool for verifying safety and…

Systems and Control · Electrical Eng. & Systems 2024-08-23 Milan Ganai , Sicun Gao , Sylvia Herbert

Provably safe and scalable multi-vehicle path planning is an important and urgent problem due to the expected increase of automation in civilian airspace in the near future. Although this problem has been studied in the past, there has not…

Multiagent Systems · Computer Science 2016-11-28 Mo Chen , Somil Bansal , Jaime F. Fisac , Claire J. Tomlin

With the recent surge of interest in UAVs for civilian services, the importance of developing tractable multi-agent analysis techniques that provide safety and performance guarantees have drastically increased. Hamilton-Jacobi (HJ)…

Optimization and Control · Mathematics 2017-03-23 Aparna Dhinakaran , Mo Chen , Glen Chou , Jennifer C. Shih , Claire J. Tomlin

As perception-based controllers for autonomous systems become increasingly popular in the real world, it is important that we can formally verify their safety and performance despite perceptual uncertainty. Unfortunately, the verification…

Robotics · Computer Science 2026-04-16 Albert Lin , Alessandro Pinto , Somil Bansal

Real-world autonomous vehicles often operate in a priori unknown environments. Since most of these systems are safety-critical, it is important to ensure they operate safely in the face of environment uncertainty, such as unseen obstacles.…

Robotics · Computer Science 2025-10-20 Andrea Bajcsy , Somil Bansal , Eli Bronstein , Varun Tolani , Claire J. Tomlin

This work in progress considers reachability-based safety analysis in the domain of autonomous driving in multi-agent systems. We formulate the safety problem for a car following scenario as a differential game and study how different…

Systems and Control · Electrical Eng. & Systems 2021-12-30 Gilbert Bahati , Marsalis Gibson , Alexandre Bayen

We present a fast planning architecture called Hamilton-Jacobi-based bidirectional A* (HJBA*) to solve general tight parking scenarios. The algorithm is a two-layer composed of a high-level HJ-based reachability analysis and a lower-level…

Robotics · Computer Science 2026-03-24 Xuemin Chi , Jun Zeng , Jihao Huang , Zhitao Liu , Hongye Su

Autonomous navigation requires planning to reach a goal safely and efficiently in complex and potentially dynamic environments. Graph search-based algorithms are widely adopted due to their generality and theoretical guarantees when…

Robotics · Computer Science 2026-04-21 Hanyang Hu , Cameron Siu , Mo Chen
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