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Autonomous ground vehicles (AGVs) must navigate safely in cluttered environments while accounting for complex dynamics and environmental uncertainty. Hamilton-Jacobi Reachability (HJR) offers formal safety guarantees through the computation…

机器人学 · 计算机科学 2025-12-02 Granthik Halder , Rudrashis Majumder , Rakshith M R , Rahi Shah , Suresh Sundaram

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…

机器人学 · 计算机科学 2026-03-19 Kasidit Muenprasitivej , Derya Aksaray

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…

最优化与控制 · 数学 2016-09-20 Mo Chen , Sylvia Herbert , Claire J. Tomlin

Machine learning driven image-based controllers allow robotic systems to take intelligent actions based on the visual feedback from their environment. Understanding when these controllers might lead to system safety violations is important…

机器人学 · 计算机科学 2024-04-11 Kaustav Chakraborty , Somil Bansal

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…

机器人学 · 计算机科学 2024-04-11 Albert Lin , Somil Bansal

Providing formal safety and performance guarantees for autonomous systems is becoming increasingly important. Hamilton-Jacobi (HJ) reachability analysis is a popular formal verification tool for providing these guarantees, since it can…

机器人学 · 计算机科学 2023-06-13 Albert Lin , Somil Bansal

Safe Multi-Agent Motion Planning (MAMP) is a significant challenge in robotics. Despite substantial advancements, existing methods often face a dilemma. Decentralized algorithms typically rely on predicting the behavior of other agents,…

机器人学 · 计算机科学 2025-07-21 Qingyi Chen , Ahmed H. Qureshi

Hamilton-Jacobi reachability (HJR) is an exciting framework used for control of safety-critical systems with nonlinear and possibly uncertain dynamics. However, HJR suffers from the curse of dimensionality, with computation times growing…

系统与控制 · 电气工程与系统科学 2025-03-19 Dylan Hirsch , Sylvia Herbert

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…

机器人学 · 计算机科学 2020-03-13 Vicenc Rubies-Royo , David Fridovich-Keil , 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…

系统与控制 · 计算机科学 2017-09-25 Somil Bansal , Mo Chen , Sylvia Herbert , Claire J. Tomlin

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…

机器人学 · 计算机科学 2026-03-24 Xuemin Chi , Jun Zeng , Jihao Huang , Zhitao Liu , Hongye Su

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…

机器人学 · 计算机科学 2021-06-08 Ran Tian , Anjian Li , Masayoshi Tomizuka , Liting Sun

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.…

机器人学 · 计算机科学 2025-10-20 Andrea Bajcsy , Somil Bansal , Eli Bronstein , Varun Tolani , Claire J. Tomlin

Reachability analysis provides formal guarantees for performance and safety properties of nonlinear control systems. Here, one aims to compute the backward reachable set (BRS) or tube (BRT) -- the set of states from which the system can be…

最优化与控制 · 数学 2017-07-18 Mo Chen , Sylvia L. Herbert , Mahesh S. Vashishtha , Somil Bansal , Claire J. Tomlin

Hamilton-Jacobi (HJ) reachability analysis is an important formal verification method for guaranteeing performance and safety properties of dynamical control systems. Its advantages include compatibility with general nonlinear system…

机器人学 · 计算机科学 2020-11-05 Somil Bansal , Claire 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…

机器人学 · 计算机科学 2021-12-02 Bingqing Chen , Jonathan Francis , Jean Oh , Eric Nyberg , Sylvia L. Herbert

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…

机器人学 · 计算机科学 2026-03-31 Raj Harshit Srirangam , Leonard Jung , Rohith Poola , Michael Everett

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…

机器人学 · 计算机科学 2026-04-16 Albert Lin , Alessandro Pinto , Somil Bansal

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…

系统与控制 · 电气工程与系统科学 2024-08-23 Milan Ganai , Sicun Gao , Sylvia Herbert

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
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