Hamilton-Jacobi (HJ) reachability analysis is an important formal verification method for
guaranteeing performance and safety properties of dynamical systems; it has been applied …

We study the problem of perceiving forest or mountain trails from a single monocular image
acquired from the viewpoint of a robot traveling on the trail itself. Previous literature focused …

We consider the problem of generating motion plans for a robot that are guaranteed to
succeed despite uncertainty in the environment, parametric model uncertainty, and …

Multirotor unmanned aerial vehicles (UAVs) are rapidly gaining popularity for many
applications. However, safe operation in partially unknown, unstructured environments …

Optimal motion planning becomes more and more important these days and is critical for
motion planning algorithms developed in the academia to be applicable to real‐world …

This paper accompanies FOSSIL: a software tool for the synthesis of Lyapunov functions
and of barrier certificates (or functions) for dynamical systems modelled as differential …

Abstract Control Barrier Functions (CBFs) are a popular approach for safe control of
nonlinear systems. In CBF-based control, the desired safety properties of the system are …

In this paper, we solve the problem of finding a certified control policy that drives a robot from
any given initial state and under any bounded disturbance to the desired reference …

This paper presents an approach of safety verification based on neural networks for
continuous dynamical systems which are modeled as a system of ordinary differential …

We introduce an automated, formal, counterexample-based approach to synthesise Barrier
Certificates (BC) for the safety verification of continuous and hybrid dynamical models. The …