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Related papers: Negotiation-Aware Reachability-Based Safety Verifi…

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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

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

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

Hamilton-Jacobi (HJ) reachability analysis is a powerful tool for analyzing the safety of autonomous systems. However, the provided safety assurances are often predicated on the assumption that once deployed, the system or its environment…

Robotics · Computer Science 2024-04-24 Javier Borquez , Kensuke Nakamura , Somil Bansal

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-Isaacs (HJI) reachability analysis is a powerful tool for analyzing the safety of autonomous systems. This analysis is computationally intensive and typically performed offline. Online, however, the autonomous system may…

Systems and Control · Computer Science 2019-03-20 Sylvia L. Herbert , Shromona Ghosh , Somil Bansal , Claire J. Tomlin

Hamilton-Jacobi reachability analysis is a powerful technique used to verify the safety of autonomous systems. This method is very good at handling non-linear system dynamics with disturbances and flexible set representations. A drawback to…

Systems and Control · Electrical Eng. & Systems 2020-12-09 Minh Bui , Michael Lu , Reza Hojabr , Mo Chen , Arrvindh Shriraman

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

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

Real-world autonomous systems often employ probabilistic predictive models of human behavior during planning to reason about their future motion. Since accurately modeling human behavior a priori is challenging, such models are often…

Robotics · Computer Science 2020-04-07 Somil Bansal , Andrea Bajcsy , Ellis Ratner , Anca D. Dragan , Claire J. Tomlin

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

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

We present an overview of recently developed data-driven tools for safety analysis of autonomous vehicles and advanced driver assist systems. The core algorithms combine model-based, hybrid system reachability analysis with sensitivity…

Systems and Control · Computer Science 2017-04-24 Chuchu Fan , Bolun Qi , Sayan Mitra

Hamilton-Jacobi (HJ) reachability is a method that provides rigorous analyses of the safety properties of dynamical systems. This method has been successfully applied to many low-dimensional dynamical system models such as coarse models of…

Optimization and Control · Mathematics 2016-09-20 Mo Chen , Sylvia Herbert , 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

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

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

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

Traditional reachability methods provide formal guarantees of safety under bounded disturbances. However, they strictly enforce state constraints as inviolable, which can result in overly conservative or infeasible solutions in complex…

Systems and Control · Electrical Eng. & Systems 2025-10-30 Chams Eddine Mballo , Donggun Lee , Claire J. Tomlin
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