Tube-Based Zonotopic Data-Driven Predictive Control

A Russo, A Proutiere - arXiv preprint arXiv:2209.03500, 2022 - arxiv.org
… data, a zonotope that includes the true state error set. We show how to guarantee the stability
of the resulting error zonotope, and explain why working with this zonotope confers on our …

A Novel Attack Detection for Linear Systems With Unknown-But-Bounded Noises

H Liu, S Wang, B Niu, Y Li - IEEE Transactions on Systems …, 2021 - ieeexplore.ieee.org
… Thus, zonotopes are adopted to describe the UBB noises in this work. In [17], guaranteed …
used to minimize the size of a zonotope. Constrained zonotopes have been developed in [18] …

On enlarging backward reachable sets via zonotopic set membership

D Han, A Rizaldi, A El-Guindy… - 2016 IEEE International …, 2016 - ieeexplore.ieee.org
… In this section, we first introduce the definition and some basic properties of zonotopes. Then,
we concisely show the main idea to obtain the stability region of an equilibrium point based …

Integrity-driven landmark attention for GPS-vision navigation via stochastic reachability

S Bhamidipati, GX Gao - Proceedings of the 33rd International Technical …, 2020 - ion.org
… Specifically, we parameterize the stochastic reachable set via a representation known as
the probabilistic zonotope (p-Zonotope) [25]. We design the cost by formulating the p-Zonotope

On computing envelopes for discrete-time linear systems with affine parametric uncertainties and bounded inputs

C Combastel, SA Raka - IFAC Proceedings Volumes, 2011 - Elsevier
… A particular class of polytopes, zonotopes, can be used to implicitly represent the computed
… in extending an existing algorithm based on zonotopes so that it can efficiently propagate …

Fault detection of wind turbines with uncertain parameters: A set-membership approach

SM Tabatabaeipour, PF Odgaard, T Bak, J Stoustrup - Energies, 2012 - mdpi.com
… For representation of these sets we use zonotopes and for modeling of uncertainties we use
matrix zonotopes, which yields a computationally efficient algorithm. The method is applied …

Rhombus tilings: decomposition and space structure

F Chavanon, E Rémila - Electronic Notes in Discrete Mathematics, 2004 - Elsevier
… [7] claims that tilings of zonotopes can also be interpreted as … of tilings of unitary zonotopes
constructed from vectors in … the size of the zonotope Z; we say that Z is a s-zonotope. Z is …

Solution of the Szökefalvi-Nagy problem for a class of convex polytopes

E Baladze - Geometriae Dedicata, 1994 - Springer
… of all zonotopes with fixed Helly dimension. The main result is that a zonotope has Helly …
family of zonotopes we considered, instead of a zonotope M, its polar M*, which is centrally …

Guaranteed estimation for distributed networked control systems

RA García, L Orihuela, P Millán, MG Ortega… - … '2014–Proceedings of …, 2015 - Springer
… In general, intersections between zonotopes and between zonotope and strip are not … a
zonotope is not a zonotope, but there exist some methods to build a zonotope encompassing the …

A robust explicit nonlinear MPC controller with input-to-state stability guarantees

DM Raimondo, S Riverso, CN Jones… - IFAC Proceedings Volumes, 2011 - Elsevier
… Here we introduce the zonotope inclusion operator and then we state the zonotope extension
theorem. Theorem 3. (Zonotope inclusion) Consider a family of zonotopes represented by …