most citedRepresentation of Polytopes as Polynomial Zonotopes

5 citations · 5 across the 1 of their papers we have counts for

collaborators

5 papers

eess.SY2020

Formal synthesis of closed-form sampled-data controllers for nonlinear continuous-time systems under STL specifications

Cees F. Verdier, Niklas Kochdumper, Matthias Althoff +1

We propose a counterexample-guided inductive synthesis framework for the formal synthesis of closed-form sampled-data controllers for nonlinear systems to meet STL specifications o…

cs.RO2020

Pedestrian Models for Autonomous Driving Part II: High-Level Models of Human Behavior

Fanta Camara, Nicola Bellotto, Serhan Cosar +11

Autonomous vehicles (AVs) must share space with pedestrians, both in carriageway cases such as cars at pedestrian crossings and off-carriageway cases such as delivery vehicles navi…

cs.CV2020

Pedestrian Models for Autonomous Driving Part I: Low-Level Models, from Sensing to Tracking

Fanta Camara, Nicola Bellotto, Serhan Cosar +6

Autonomous vehicles (AVs) must share space with pedestrians, both in carriageway cases such as cars at pedestrian crossings and off-carriageway cases such as delivery vehicles navi…

math.CO20195 cited

Representation of Polytopes as Polynomial Zonotopes

Niklas Kochdumper, Matthias Althoff

We prove that each bounded polytope can be represented as a polynomial zonotope, which we refer to as the Z-representation of polytopes. Previous representations are the vertex rep…

eess.SY2019

Utilizing Dependencies to Obtain Subsets of Reachable Sets

Niklas Kochdumper, Bastian Schürmann, Matthias Althoff

Reachability analysis, in general, is a fundamental method that supports formally-correct synthesis, robust model predictive control, set-based observers, fault detection, invarian…