A probabilistic framework for reference design for guaranteed fault diagnosis under closed-loop control
… For linear systems with uncertainties bounded within zonotopes, this paper addresses
the AFD problem under closedloop control. The AFD method reported in [17] is extended to …
the AFD problem under closedloop control. The AFD method reported in [17] is extended to …
Oral discussions on Session:“Dynamics and Control”-Part I
P Sauer - 2013 IREP Symposium-Bulk Power System …, 2013 - ieeexplore.ieee.org
… Aliprantis: Yes, so what we do is that at some point the order of the zonotope increases, when
you do these operations, because you keep adding generators and periodically you get rid …
you do these operations, because you keep adding generators and periodically you get rid …
[HTML][HTML] A state augmentation approach to interval fault estimation for descriptor systems
… However, calculating a high-dimensional zonotope will increase the computational burden.
… of a zonotope, its interval hull and its reduction into a lower order zonotope, a zonotope Z = < …
… of a zonotope, its interval hull and its reduction into a lower order zonotope, a zonotope Z = < …
Lattice points in polytopes, box splines, and Todd operators
M Lenz - International Mathematics Research Notices, 2015 - academic.oup.com
… that every real-valued function on the set of interior lattice points of the zonotope defined by
X can be extended to a function on the whole zonotope of the form p(D)B X in a unique way, …
X can be extended to a function on the whole zonotope of the form p(D)B X in a unique way, …
Face numbers and subdivisions of convex polytopes
MM Bayer - Polytopes: abstract, convex and computational, 1994 - Springer
… the face lattice of the zonotope. We shall study the fiber polytope of a zonotope and see what
it says … Let Z be the zonotope generated by the corresponding intervals [-ai, ail. Billera and …
it says … Let Z be the zonotope generated by the corresponding intervals [-ai, ail. Billera and …
Trajectory planning under stochastic and bounded sensing uncertainties using reachability analysis
… we use probabilistic zonotopes as the set … zonotopes have been shown to be computationally
efficient and closed under linear transform and Minkowski sum operations [21]. A zonotope …
efficient and closed under linear transform and Minkowski sum operations [21]. A zonotope …
Point distance and orthogonal range problems with dependent geometric uncertainties
Y Myers, L Joskowicz - Proceedings of the 14th ACM Symposium on …, 2010 - dl.acm.org
… of the zonotope, we can find this instance by examining all the vertices of the zonotope of
⃗r(q). To … of ⃗r(q) by examining all the vertices and edges of the zonotope. If the origin is in the …
⃗r(q). To … of ⃗r(q) by examining all the vertices and edges of the zonotope. If the origin is in the …
Force generation by parallel combinations of fiber-reinforced fluid-driven actuators
… For comparison, the measured forces are superimposed over the force zonotope generated
by our model in Fig. 8a- 8d. To quantify the accuracy of the model, we defined the error at …
by our model in Fig. 8a- 8d. To quantify the accuracy of the model, we defined the error at …
Counting the faces of randomly-projected hypercubes and orthants, with applications
DL Donoho, J Tanner - Discrete & computational geometry, 2010 - Springer
Let A be an n×N real-valued matrix with n<N; we count the number of k-faces f k (AQ) when
Q is either the standard N-dimensional hypercube I N or else the positive orthant ℝ + N . To …
Q is either the standard N-dimensional hypercube I N or else the positive orthant ℝ + N . To …
Adversarial Training and Provable Robustness: A Tale of Two Objectives
… to combine adversarial training and zonotope propagation. Zonotopes are a collection of …
latent adversarial examples which are adversarial examples that lie inside these zonotopes. …
latent adversarial examples which are adversarial examples that lie inside these zonotopes. …