Safe, aggressive quadrotor flight via reachability-based trajectory design
… Zonotope reachability can similarly compute tracking error, and has been shown on …
This work extends RTD using zonotope reachability to produce guaranteed-safe reference …
This work extends RTD using zonotope reachability to produce guaranteed-safe reference …
Interval estimation methods for discrete-time linear time-invariant systems
… 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 …
dimensional zonotopes, but it will increase … drawbacks of the zonotopebased method and interval …
Privacy preserving set-based estimation using partially homomorphic encryption
… 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 …
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 …
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 …
… 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 …
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 …
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 …
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 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 …
obtain the following consequences concerning extremal partitions and the partition problem …