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 …

Design of active inputs for set-based fault diagnosis

JK Scott, R Findeisen, RD Braatz… - 2013 American …, 2013 - ieeexplore.ieee.org
… 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 …

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. …

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 …

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 …

Zonotopic extended Kalman filter and fault detection of discrete-time nonlinear systems applied to a quadrotor helicopter

Y Wang, V Puig - 2016 3rd Conference on Control and Fault …, 2016 - ieeexplore.ieee.org
… 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 …

[HTML][HTML] Zonotopic set-membership state estimation for multirate systems with dynamic event-triggered mechanisms

Q Li, Y Zhi, H Tan, W Sheng - ISA transactions, 2022 - Elsevier
… 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, …

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 …

[HTML][HTML] Structure results for multiple tilings in 3D

N Gravin, MN Kolountzakis, S Robins… - Discrete & Computational …, 2013 - Springer
… 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 \(…

[HTML][HTML] Distributed set-membership observers for interconnected multi-rate systems

L Orihuela, S Roshany-Yamchi, RA García, P Millán - Automatica, 2017 - Elsevier
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 …