Zonotopic set-membership estimation for interval dynamic systems
VTH Le, T Alamo, EF Camacho… - 2012 American …, 2012 - ieeexplore.ieee.org
… by zonotopes is further used in this paper. Contrary to ellipsoids, the Minkowski sum of two
zonotopes is a zonotope, … In addition, zonotopes can represent uncertainties independently in …
zonotopes is a zonotope, … In addition, zonotopes can represent uncertainties independently in …
Design of active inputs for set-based fault diagnosis
… Although the set S is neither a zonotope nor the compliment of zonotopes itself, Theorem
1 shows that it is fully specified by computing and storing the zonotopes Z[ij]. Thus, the …
1 shows that it is fully specified by computing and storing the zonotopes Z[ij]. Thus, the …
A Tutte polynomial for toric arrangements
L Moci - Transactions of the American Mathematical Society, 2012 - ams.org
… We introduce a multiplicity Tutte polynomial M(x, y), with applications to zonotopes and toric
… M(x, 1) computes the volume and the number of integer points of the associated zonotope. …
… M(x, 1) computes the volume and the number of integer points of the associated zonotope. …
GPS spoofing mitigation and timing risk analysis in networked PMUs via stochastic reachability
S Bhamidipati, GX Gao - Proceedings of the 33rd International Technical …, 2020 - ion.org
… such as zonotope, ellipsoid, polytope, etc., our choice of p-Zonotope is justified because it
can efficiently enclose the stochastic biases in GPS measurements. A p-Zonotope can enclose …
can efficiently enclose the stochastic biases in GPS measurements. A p-Zonotope can enclose …
A polynomial case of unconstrained zero-one quadratic optimization
K Allemand, K Fukuda, TM Liebling… - Mathematical Programming, 2001 - Springer
… The zero-one QP problem (1) is thus reduced to the enumeration of extreme points of the
zonotope Z in Rd. Denoting by vj the jth column of V, Z is the Minkowski sum of the n closed …
zonotope Z in Rd. Denoting by vj the jth column of V, Z is the Minkowski sum of the n closed …
Zonotopic extended Kalman filter and fault detection of discrete-time nonlinear systems applied to a quadrotor helicopter
… In fact, the Frobenius radius can be regarded as a size criterion of a zonotope [12]. Zonotope
is also a special class of geometrical set and has a flexible computational rules, some of …
is also a special class of geometrical set and has a flexible computational rules, some of …
[HTML][HTML] Zonotopic set-membership state estimation for multirate systems with dynamic event-triggered mechanisms
… a zonotope that is guaranteed to enclose all possible system states due to the unknown
disturbance and noise. Then, the size of such a zonotope … size of the obtained zonotope. Finally, …
disturbance and noise. Then, the size of such a zonotope … size of the obtained zonotope. Finally, …
Families of tight inequalities for polytopes
C Stenson - Discrete & Computational Geometry, 2005 - Springer
… We can understand the smaller zonotope cone in the same way. The 2-zonotope with the
fewest possible … Since every facet of a 3-zonotope Z must be a 2-zonotope, we have (( f 2 …
fewest possible … Since every facet of a 3-zonotope Z must be a 2-zonotope, we have (( f 2 …
[HTML][HTML] Structure results for multiple tilings in 3D
… In the final section, we show that each rational two-flat zonotope admits a very peculiar
non-quasi-periodic \(k\)-tiling. We note that it may be quite difficult to offer a visualization of these \(…
non-quasi-periodic \(k\)-tiling. We note that it may be quite difficult to offer a visualization of these \(…
[HTML][HTML] Distributed set-membership observers for interconnected multi-rate systems
This paper presents a new distributed observer for interconnected multi-rate systems. The
developed observer belongs to the family of set-membership estimators, and the use of …
developed observer belongs to the family of set-membership estimators, and the use of …