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Related papers: Reachability-based Safe Planning for Multi-Vehicle…

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Autonomous systems operating in close proximity with each other to cover a specified area has many potential applications, but to achieve effective coordination, two key challenges need to be addressed: coordination and safety. For…

Systems and Control · Electrical Eng. & Systems 2019-11-18 Juan Chacon , Mo Chen , Razvan C. Fetecau

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

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…

Systems and Control · Electrical Eng. & Systems 2025-03-19 Dylan Hirsch , Sylvia Herbert

With the recent surge of interest in using robotics and automation for civil purposes, providing safety and performance guarantees has become extremely important. In the past, differential games have been successfully used for the analysis…

Optimization and Control · Mathematics 2017-04-24 Mo Chen , Sylvia Herbert , Claire J. Tomlin

A new framework for formulating reachability problems with competing inputs, nonlinear dynamics and state constraints as optimal control problems is developed. Such reach-avoid problems arise in, among others, the study of safety problems…

Optimization and Control · Mathematics 2009-11-25 Kostas Margellos , John Lygeros

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

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

In this paper, we propose a reachable set based collision avoidance algorithm for unmanned aerial vehicles (UAVs). UAVs have been deployed for agriculture research and management, surveillance and sensor coverage for threat detection and…

Systems and Control · Computer Science 2016-09-27 Yuchen Zhou , John S. Baras

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

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

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

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…

Robotics · Computer Science 2024-04-11 Kaustav Chakraborty , Somil Bansal

In this paper, we present a framework for enabling autonomous vehicles to interact with cyclists in a manner that balances safety and optimality. The approach integrates Hamilton-Jacobi reachability analysis with deep Q-learning to jointly…

Robotics · Computer Science 2026-02-23 Aarati Andrea Noronha , Jean Oh

Hamilton-Jacobi (HJ) reachability analysis provides a formal method for guaranteeing safety in constrained control problems. It synthesizes a value function to represent a long-term safe set called feasible region. Early synthesis methods…

Systems and Control · Electrical Eng. & Systems 2025-08-01 Yujie Yang , Hanjiang Hu , Tianhao Wei , Shengbo Eben Li , Changliu Liu

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,…

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…

We present a method for optimal coordination of multiple vehicle teams when multiple endpoint configurations are equally desirable, such as seen in the autonomous assembly of formation flight. The individual vehicles' positions in the…

Robotics · Computer Science 2021-04-20 Matthew R. Kirchner , Mark J. Debord , João P. Hespanha

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

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

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