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Safe control techniques, such as Hamilton-Jacobi reachability, provide principled methods for synthesizing safety-preserving robot policies but typically assume hand-designed state spaces and full observability. Recent work has relaxed…

Robotics · Computer Science 2025-10-09 Matthew Kim , Kensuke Nakamura , Andrea Bajcsy

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-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

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

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

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

Within a robot autonomy stack, the planner and controller are typically designed separately, and serve different purposes. As such, there is often a diffusion of responsibilities when it comes to ensuring safety for the robot. We propose…

Robotics · Computer Science 2020-08-04 Xinrui Wang , Karen Leung , Marco Pavone

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…

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 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

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

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

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

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,…

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

Latent safety filters extend Hamilton-Jacobi (HJ) reachability to operate on latent state representations and dynamics learned directly from high-dimensional observations, enabling safe visuomotor control under hard-to-model constraints.…

This article presents a Hamilton--Jacobi (HJ) reachability framework for a two--satellite collision avoidance problem operating in the same circular orbit, where relative motion is modeled in the radial--tangential--normal (RTN) frame using…

Robotics · Computer Science 2026-05-20 Larry Hui , Jordan Kam , William Su , Jianshu Zhou

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

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

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
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