A Survey on Reachable Set Techniques for Fault Recoverability Assessment
… two seems particularly suitable: zonotopes with the advantages of fast and exact computation,
but the drawbacks that zonotopes can only represent symmetric convex sets ; and support …
but the drawbacks that zonotopes can only represent symmetric convex sets ; and support …
The geometry of random tournaments
M Sanchez, B Kolesnik - arXiv preprint arXiv:2009.09322, 2020 - arxiv.org
… We present short and natural proofs of these results that work for any graph using zonotopes
from convex geometry. A zonotope is a linear image of a cube. Moon’s Theorem follows by …
from convex geometry. A zonotope is a linear image of a cube. Moon’s Theorem follows by …
[HTML][HTML] Set-membership estimation for linear time-varying descriptor systems
This paper considers the problem of set-membership estimation for discrete-time linear time-varying
descriptor systems subject to unknown but bounded disturbance and noise. We …
descriptor systems subject to unknown but bounded disturbance and noise. We …
Zonotopic filtering based operating state estimation for power battery
Y Chen, Z Wang, Y Wang, Z Ji - 2022 41st Chinese Control …, 2022 - ieeexplore.ieee.org
… zonotope and state of health lies in an interval, which is also regarded as a one-dimensional
zonotope… by searching an optimal argument based on the zonotope and strip of noise term. …
zonotope… by searching an optimal argument based on the zonotope and strip of noise term. …
Analytical factors for describing the control ability of linear discrete-time systems
M Zhao - arXiv preprint arXiv:2004.07982, 2020 - arxiv.org
… In this paper, the analytical volume computations of the zonotopes generated by the matrix
… describe accurately the size and shape of the zonotopes. Because the control ability for LDT …
… describe accurately the size and shape of the zonotopes. Because the control ability for LDT …
Attitude Control and Reachability Analysis for Unmanned Helicopters via the Zonotopic Kalman Filtering
… of the helicopter in terms of zonotopes. Each state-zonotope estimate is defined by a center
… The state-zonotope estimates are utilized by the integrated system to produce control input …
… The state-zonotope estimates are utilized by the integrated system to produce control input …
[HTML][HTML] Zonotopic observer designs for uncertain Takagi–Sugeno fuzzy systems
… For state estimation purposes, we develop an algorithm to recursively compute the zonotope
… The first method is based on the minimization of the F − radius of zonotopes, for which the …
… The first method is based on the minimization of the F − radius of zonotopes, for which the …
Constrained zonotopic Kalman filtering based state estimation algorithm for nonlinear system under unknown disturbance
Z Wang, Y Zhan, Y Wang - 2022 13th Asian Control Conference …, 2022 - ieeexplore.ieee.org
… A guaranteed state estimation algorithm by zonotopes for … term with zonotope to calculate
the predection zonotope. In the … The purpose of this paper is to propose a novel zonotope …
the predection zonotope. In the … The purpose of this paper is to propose a novel zonotope …
Deterministic approaches for bounding GNSS uncertainty: A comparative analysis
… The interval extension of least-squares transfers the uncertainty into the position domain
in the form of zonotope and further bound the stochasticity by the extended point confidence …
in the form of zonotope and further bound the stochasticity by the extended point confidence …
Zonotopic reachable set estimation for linear discrete‐time systems with time delay
… We propose a novel reachable set estimation method based on zonotopes for the considered
systems. The proposed method can estimate real-time reachable set under nonzero initial …
systems. The proposed method can estimate real-time reachable set under nonzero initial …