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Robust control lyapunov-value functions for nonlinear disturbed systems
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 …
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
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 …
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
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 …
cyber-physical systems (CPS). Specifically, we leverage temporal logic trees constructed …
Learning robust policies via interpretable hamilton-jacobi reachability-guided disturbances
Deep Reinforcement Learning (RL) has shown remarkable success in robotics with complex
and heterogeneous dynamics. However, its vulnerability to unknown disturbances and …
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 …
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
As the dimension of a system increases, traditional methods for control and differential
games rapidly become intractable, making the design of safe autonomous agents …
games rapidly become intractable, making the design of safe autonomous agents …
Exact Imposition of Safety Boundary Conditions in Neural Reachable Tubes
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 …
safety and performance guarantees for autonomous systems. However, it involves solving a …
Safe Returning FaSTrack With Robust Control Lyapunov-Value Functions
Real-time navigation in a priori unknown environment remains a challenging task,
especially when an unexpected (unmodeled) disturbance occurs. In this letter, we propose …
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
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 …
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 …
methods in environments containing disturbances. Ergodic exploration methods generate …