Safe, aggressive quadrotor flight via reachability-based trajectory design

S Kousik, P Holmes… - Dynamic Systems …, 2019 - asmedigitalcollection.asme.org
Zonotope reachability can similarly compute tracking error, and has been shown on …
This work extends RTD using zonotope reachability to produce guaranteed-safe reference …

Interval estimation methods for discrete-time linear time-invariant systems

W Tang, Z Wang, Y Wang, T Raïssi… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
… However, the implementation of a zonotope-based method … obtained by using higher
dimensional zonotopes, but it will increase … drawbacks of the zonotopebased method and interval …

Privacy preserving set-based estimation using partially homomorphic encryption

A Alanwar, V Gassmann, X He, H Said… - arXiv preprint arXiv …, 2020 - arxiv.org
… We represent sets by zonotopes and constrained zonotopes as they can compactly
represent high-dimensional sets and are closed under linear maps and Minkowski addition. By …

Robust Fault Detection using Set-based Approaches

S Zhang, V Puig - … 5th International Conference on Control and …, 2021 - ieeexplore.ieee.org
This paper presents the performance of zonotopic fault detection (FD) for additive and
multiplicative fault using direct test and inverse test. Zonotopic set-based approaches use the …

Polytopes from Subgraph Statistics

P Norén, A Engström - Discrete Mathematics & Theoretical …, 2011 - dmtcs.episciences.org
… Since the curvy zonotopes are in the polytopes from subgraph statistics, so are their convex
… hull of the curvy zonotope in Figure 7. Theorem 3.6 is our main result on curvy zonotopes, it …

Diagnosis and fault-tolerant control techniques for autonomous vehicles

S Zhang, V Puig Cayuela - Proceeding of the …, 2021 - upcommons.upc.edu
This paper presents the performance of zonotopic fault detection (FD) for additive and
multiplicative fault using direct test and inverse test. Zonotopic set-based approaches use the …

[PDF][PDF] Optimal initial gimbal angles for agile slew maneuvers with control moment gyroscopes

R Geshnizjani, A Kornienko, T Ziegler, J Loehr… - AIAA SciTech 2019 …, 2019 - arc.aiaa.org
… as a zonotope [12], a structure which has been studied extensively in mathematics and
computer sciences [13, 14]. In this work, we use the mathematical characteristics of zonotopes to …

Safety assessment for stochastic linear systems using enclosing hulls of probability density functions

M Althoff, O Stursberg, M Buss - 2009 European Control …, 2009 - ieeexplore.ieee.org
This contribution addresses the problem of computing the probability that a linear system
with uncertain inputs reaches an unsafe region in the state space. The probability of reaching …

Realistic Uncertainty Measures for GPS

S Schön, H Kutterer - A Window on the Future of Geodesy …, 2006 - books.google.com
… Finally, confidence ellipsoids and zonotopes are superposed to extended uncertainty … for
the simple case of a zonotope with 6 vertices. Geometrically the zonotope is decomposed in sec…

The vector partition problem for convex objective functions

S Onn, LJ Schulman - Mathematics of Operations Research, 2001 - pubsonline.informs.org
… Combining Theorem 2.4 with available algorithmic and extremal results on zonotopes, we
obtain the following consequences concerning extremal partitions and the partition problem …