Safety verification of a cooperative vehicle platoon with uncertain inputs using zonotopes
IB Makhlouf, JP Maschuw, P Hänsch, H Diab… - IFAC Proceedings …, 2011 - Elsevier
This paper presents an approach to safety verification of a controlled cooperative platoon of
vehicles. To guarantee collision free operation, spacing errors must not exceed critical …
vehicles. To guarantee collision free operation, spacing errors must not exceed critical …
Hybrid Zonotopes: A Mixed-Integer Set Representation for the Analysis of Hybrid Systems
TJ Bird - 2022 - hammer.purdue.edu
… representation named the hybrid zonotope. The hybrid zonotope builds upon a combination
of … It is shown that the hybrid zonotope is equivalent to the union of an exponential number of …
of … It is shown that the hybrid zonotope is equivalent to the union of an exponential number of …
Unions and Complements of Hybrid Zonotopes
TJ Bird, N Jain - IEEE Control Systems Letters, 2021 - ieeexplore.ieee.org
… of hybrid zonotopes. The addition of these set operations proves the hybrid zonotope’s …
be embedded within the hybrid zonotope set definition. A numerical example using hybrid …
be embedded within the hybrid zonotope set definition. A numerical example using hybrid …
[HTML][HTML] On the sum of a parallelotope and a zonotope
MD Sikirić, V Grishukhin, A Magazinov - European Journal of …, 2014 - Elsevier
… parallelotope P and a zonotope Z ( U ) , where U is the set of vectors used to generate the
zonotope. In this … Using this we classify such zonotopes for some highly symmetric lattices. …
zonotope. In this … Using this we classify such zonotopes for some highly symmetric lattices. …
Neural Network Approximation based on Hausdorff distance of Tropical Zonotopes
P Misiakos, G Smyrnis, G Retsinas… - … Conference on Learning …, 2021 - openreview.net
… or negative zonotope. We thus call these line segments generators of the zonotope. The
generators further receive the characterization positive or negative depending on the zonotope …
generators further receive the characterization positive or negative depending on the zonotope …
An asynchronous technique for distributed estimation based on zonotopes
This paper deals with the problem of guaranteed distributed estimation under an asynchronous
communication scheme. The objective is to estimate the state of a perturbed linear plant …
communication scheme. The objective is to estimate the state of a perturbed linear plant …
Fault detection and isolation for discrete-time Markovian jump systems with generally bounded transition probabilities: A zonotope-based method
D Lu, X Zhang, Y Lan, X Wang - Transactions of the Institute …, 2021 - journals.sagepub.com
This paper addresses the fault detection and isolation for a class of discrete-time Markovian
jump system with generally bounded transition probabilities. The proposed method is mainly …
jump system with generally bounded transition probabilities. The proposed method is mainly …
A randomized algorithm for enumerating zonotope vertices
… zonotope is sharper at that vertex—and such vertices influence the convex hull more. If …
zonotope is nearly flat around a vertex, then this vertex does not contribute much to the zonotope’…
zonotope is nearly flat around a vertex, then this vertex does not contribute much to the zonotope’…
Efficient Backward Reachability using the Minkowski Difference of Constrained Zonotopes
… Our algorithm sequentially linearizes the dynamics, and uses constrained zonotopes for set
… This Minkowski difference needs to be represented as a constrained zonotope to enable …
… This Minkowski difference needs to be represented as a constrained zonotope to enable …
Robust MPC of constrained discrete-time nonlinear systems based on zonotopes
… In this work, the uncertain evolution sets are approximated by zonotopes [7] that provide
better … To obtain better approaches in this paper it is proposed to use zonotopes [7]. …
better … To obtain better approaches in this paper it is proposed to use zonotopes [7]. …