Zonotopic reachable set estimation for bilinear systems with time-varying delays

Z Zhang, Z Wang, Y Wang, Y Shen… - International Journal of …, 2021 - Taylor & Francis
This paper studies reachable set estimation for bilinear discrete-time systems with time-varying
delays considering state feedback and unknown-but-bounded disturbance. A novel …

[HTML][HTML] Zonotopic set-membership state estimation for switched systems

S Ifqir, P Vicenç, I Dalil, AO Naima, M Saïd - Journal of the Franklin Institute, 2022 - Elsevier
This paper proposes a new approach for set-membership state estimation of switched
discrete-time linear systems subject to bounded disturbances and noises. A zonotopic outer …

Contingency-constrained economic dispatch with safe reinforcement learning

M Eichelbeck, H Markgraf, M Althoff - arXiv preprint arXiv:2205.06212, 2022 - arxiv.org
zonotopes, which have a polynomial complexity with respect to the system dimension for
all required operations [19, Tab. 1]. A constrained zonotope is generally defined as [20, Eq. 9] …

[HTML][HTML] Set-membership estimation based on ellipsoid bundles for discrete-time LPV descriptor systems

W Tang, Q Zhang, Z Wang, Y Shen - Automatica, 2022 - Elsevier
This paper considers set-membership estimation for discrete-time linear parameter-varying
descriptor systems. Ellipsoid bundle, a new set representation tool combining certain …

Riesz bases of exponentials for convex polytopes with symmetric faces

A Debernardi, N Lev - Journal of the European Mathematical Society, 2021 - ems.press
… uj , 1 6 j 6 n, and so it is indeed a zonotope in Rd . We observe that if the linear span of the
vectors u1;u2;:::;un is the whole Rd , then the zonotope n has nonempty interior; while if these …

The Geometry of Discotopes

F Gesmundo, C Meroni - arXiv preprint arXiv:2111.01241, 2021 - arxiv.org
… , of zonotopes. The latter are finite Minkowski sums of line segments. Zonotopes are the only
… They are relatively well-understood: for instance, it is known that a polytope is a zonotope if …

Reachability analysis of a general class of neural ordinary differential equations

DM Lopez, P Musau, N Hamilton… - arXiv preprint arXiv …, 2022 - arxiv.org
… If the NODE is nonlinear, we make use of zonotope and polynomial-zonotope based … , which
are more scalable than other zonotope-based methods and possess soundness guarantees …

Geometry of Multiprimary Display Colors II: Metameric Control Sets and Gamut Tiling Color Control Functions

CE Rodríguez-Pardo, G Sharma - IEEE Access, 2021 - ieeexplore.ieee.org
… Because G is an affine map of RK into R3, G is a zonotope whose geometry we characterized
in the companion Part I paper [1]. A color control function (CCF) is a function C : G → [0, 1]…

[HTML][HTML] Fault Detection and Isolation for Uncertain Systems Based on Unknown Input Set-Membership Observer

X Fan, W Zhang, X Li - Circuits, Systems, and Signal Processing, 2022 - Springer
… 3, we establish the sufficient existence conditions for zonotopes to calculate the boundaries
of residual component generated by a set of UIOs. Then we present a fault diagnosis …

Reachability of black-box nonlinear systems after koopman operator linearization

S Bak, S Bogomolov, PS Duggirala, AR Gerlach… - IFAC-PapersOnLine, 2021 - Elsevier
… We improve analysis efficiency through zonotope overapproximations of the nonlinear initial
sets constructed using interval arithmetic, as well as two abstraction-refinement techniques: (…