[HTML][HTML] Negotiated distributed estimation with guaranteed performance for bandwidth-limited situations
… In the same way, different zonotopes are received from those agents j such that i ∈ N j . In
this section, the order of the zonotopes to be transmitted are assumed to be those internally …
this section, the order of the zonotopes to be transmitted are assumed to be those internally …
On the relationship between interval observers and invariant sets in fault detection
… , this paper will use zonotopes to represent and propagate uncertainty in system states
and outputs [1]–[3]. Section II introduces the notion of zonotopes and invariant sets. Section III …
and outputs [1]–[3]. Section II introduces the notion of zonotopes and invariant sets. Section III …
[HTML][HTML] A probabilistic interpretation of set-membership filtering: Application to polynomial systems through polytopic bounding
A Benavoli, D Piga - Automatica, 2016 - Elsevier
… Zonotopes have been proposed to reduce the … Zonotopes are also employed to address
the problem of set-… This outer bound is represented by a zonotope. Similar approaches for set-…
the problem of set-… This outer bound is represented by a zonotope. Similar approaches for set-…
[PDF][PDF] PEM fuel cell system robust LPV model-based fault diagnosis
… zonotopes to deal with model uncertain parameters in case of using an intervar LPV observer.
A zonotope … and associated fault detection tests using zonotopes. Section 5 LPV fault isola…
A zonotope … and associated fault detection tests using zonotopes. Section 5 LPV fault isola…
On the Equivalence between Sequential and Parallel Set-Membership Zonotopic Observers
L Orihuela - Available at SSRN 4239354 - papers.ssrn.com
… the use of zonotopes for state estimation has become very common. Zonotopes, which are
… Perhaps, the main limitation of zonotopes, as pointed out in [13], is that they are not closed …
… Perhaps, the main limitation of zonotopes, as pointed out in [13], is that they are not closed …
On the decision boundaries of deep neural networks: A tropical geometry perspective
… (i) We derive a geometric representation (convex hull between two zonotopes) for a super
set to the decision boundaries of a DNN in the form (Affine, ReLU, Affine). (ii) We demonstrate …
set to the decision boundaries of a DNN in the form (Affine, ReLU, Affine). (ii) We demonstrate …
[HTML][HTML] A simple projection algorithm for linear programming problems
T Kitahara, N Sukegawa - Algorithmica, 2019 - Springer
… We adopt the zonotope formulation as in Fujishige et al. At … In each iteration, we execute a
projection onto the zonotope, … lie on the same face of the zonotope. Since the number of faces …
projection onto the zonotope, … lie on the same face of the zonotope. Since the number of faces …
Reachability-based robustness verification and optimization of SRAM dynamic stability under process variations
… Second, the zonotope-based sensitivity analysis is different from … In this paper, we introduce
a zonotope-based reachability … the modified zonotope as the unidirectional zonotope (Fig. 7)…
a zonotope-based reachability … the modified zonotope as the unidirectional zonotope (Fig. 7)…
[HTML][HTML] Reachability analysis of linear dynamic systems with constant, arbitrary, and Lipschitz continuous inputs
HNV Pico, DC Aliprantis - Automatica, 2018 - Elsevier
… If the sets are represented by zonotopes (as done in this paper), this calculation is exact (in
the sense that it can be based on closed-form expressions) and computationally tractable. …
the sense that it can be based on closed-form expressions) and computationally tractable. …
Taylor model flowpipe construction for non-linear hybrid systems
… methods proposed for zonotopes to handle TM/guard intersections. A zonotope can be viewed
… Therefore we have the following lemma showing the connection between zonotopes and …
… Therefore we have the following lemma showing the connection between zonotopes and …