Robust control lyapunov-value functions for nonlinear disturbed systems

Z Gong, S Herbert - arxiv preprint arxiv:2403.03455, 2024 - arxiv.org
Control Lyapunov Functions (CLFs) have been extensively used in the control community. A
well-known drawback is the absence of a systematic way to construct CLFs for general …

Ensuring Safety at Intelligent Intersections: Temporal Logic Meets Reachability Analysis

KM Arfvidsson, FJ Jiang, KH Johansson… - 2024 IEEE Intelligent …, 2024 - ieeexplore.ieee.org
In this work, we propose an approach for ensuring the safety of vehicles passing through an
intelligent intersection. There are many proposals for the design of intelligent intersections …

Guaranteed completion of complex tasks via temporal logic trees and hamilton-jacobi reachability

FJ Jiang, KM Arfvidsson, C He, M Chen… - arxiv preprint arxiv …, 2024 - arxiv.org
In this paper, we present an approach for guaranteeing the completion of complex tasks with
cyber-physical systems (CPS). Specifically, we leverage temporal logic trees constructed …

Learning robust policies via interpretable hamilton-jacobi reachability-guided disturbances

H Hu, X Zhang, X Lyu, M Chen - arxiv preprint arxiv:2409.19746, 2024 - arxiv.org
Deep Reinforcement Learning (RL) has shown remarkable success in robotics with complex
and heterogeneous dynamics. However, its vulnerability to unknown disturbances and …

A high-speed method for computing reachable sets based on variable-size grid

W Liao, M Tang, Y Zhang, T Liang - ISA transactions, 2025 - Elsevier
In this paper, we improve the dynamic programming based reachable set computation
method by replacing the constant size grid in the original method with a variable size grid …

Linear Supervision for Nonlinear, High-Dimensional Neural Control and Differential Games

W Sharpless, Z Feng, S Bansal, S Herbert - arxiv preprint arxiv …, 2024 - arxiv.org
As the dimension of a system increases, traditional methods for control and differential
games rapidly become intractable, making the design of safe autonomous agents …

Exact Imposition of Safety Boundary Conditions in Neural Reachable Tubes

A Singh, Z Feng, S Bansal - arxiv preprint arxiv:2404.00814, 2024 - arxiv.org
Hamilton-Jacobi (HJ) reachability analysis is a widely adopted verification tool to provide
safety and performance guarantees for autonomous systems. However, it involves solving a …

Safe Returning FaSTrack With Robust Control Lyapunov-Value Functions

Z Gong, B Li, S Herbert - IEEE Control Systems Letters, 2024 - ieeexplore.ieee.org
Real-time navigation in a priori unknown environment remains a challenging task,
especially when an unexpected (unmodeled) disturbance occurs. In this letter, we propose …

State-Augmented Linear Games with Antagonistic Error for High-Dimensional, Nonlinear Hamilton-Jacobi Reachability

W Sharpless, YT Chow, S Herbert - arxiv preprint arxiv:2403.16982, 2024 - arxiv.org
Hamilton-Jacobi Reachability (HJR) is a popular method for analyzing the liveness and
safety of a dynamical system with bounded control and disturbance. The corresponding HJ …

RAnGE: Reachability analysis for guaranteed ergodicity

H Berger, I Abraham - arxiv preprint arxiv:2404.03186, 2024 - arxiv.org
This paper investigates performance guarantees on coverage-based ergodic exploration
methods in environments containing disturbances. Ergodic exploration methods generate …