Robust Feedback Motion Primitives for Exploration of Unknown Terrains

C Chernik, P Tajvar, J Tumova - 2021 IEEE/RSJ International …, 2021 - ieeexplore.ieee.org
zonotopes to represent the reachable sets as they are closed under linear transformations;
ie starting from a zonotope set Zx in the state space and having a zonotope … using zonotopes

Direct Computing on Control Capability for Linear Continuous-time Systems Based on Hurwitz Matrix

M Zhao - arXiv preprint arXiv:2210.08483, 2022 - arxiv.org
… volume computing method for the smooth controllability zonotope for the linear continuoustime(…
Because the controllability zonotope and ellipsoid are directly related to control capability …

[HTML][HTML] A zonotopic set-invariance analysis of replay attacks affecting the supervisory layer

C Trapiello, V Puig, D Rotondo - Systems & Control Letters, 2021 - Elsevier
… Among the possible set representations, zonotopes will be employed in this paper due to …
the invariant sets are represented as zonotopes. Conditions to guarantee attack detectability …

[HTML][HTML] Functional interval observer for discrete-time systems with disturbances

H Che, J Huang, X Zhao, X Ma, N Xu - Applied Mathematics and …, 2020 - Elsevier
This paper further investigates the design problem of the functional interval observer for
discrete-time systems with disturbances. Two methods are given to design functional interval …

Robust GPS-Vision Localization via Integrity-Driven Landmark Attention

S Bhamidipati, G Gao - NAVIGATION: Journal of the Institute of …, 2022 - navi.ion.org
… to estimate the p-zonotope of expected states. Thereafter, we … -zonotopes to compute
an over-approximated p-zonotope of … p-zonotopes, we over-approximate the union of p-zonotopes

On Algorithmic Estimation of Analytic Complexity for Polynomial Solutions to Hypergeometric Systems

VA Krasikov - arXiv preprint arXiv:2007.09407, 2020 - arxiv.org
… In Section 2 we investigate particular cases of hypergeometric systems defined by zonotopes
and analyze the analytic complexity of their solutions. We formulate and prove an estimate …

[HTML][HTML] New pruning tests for the branch-and-prune framework for interval parametric linear systems

M Rada, E Garajová, J Horáček, M Hladík - Soft Computing, 2022 - Springer
… 7.2 we examine the performance of the zonotope-based pruning condition with and without
the feasibility test, since this is the only test that also allows proving feasibility of a box. Here, …

Resilience Analysis of Islanded Microgrids with Droop Control through Reachable Set Computation

Y Li, NR Chaudhuri - 2022 IEEE Power & Energy Society …, 2022 - ieeexplore.ieee.org
… , Zonotope approach is adopted in this work to model the changes of droop coefficients. A
Zonotope is … 2 illustrates two 3D-Zonotopes by using four and five generators, respectively. …

Synthesizing invariants: a constraint programming approach based on zonotopic abstraction

B Kabi - 2020 - tel.archives-ouvertes.fr
… We introduce a novel splitting algorithm based on tiling zonotopes by subzonotopes and …
This algorithm also shows a good compromise by its use in combination with zonotopes as …

[PDF][PDF] Zonotope hit-and-run for efficient sampling from projection DPPs

G Gautier, R Bardenet, M Valko - hal.inria.fr
… feature matrix associated to the projection DPP, a convex body also called a zonotope. This
zonotope can be partitioned into tiles that uniquely correspond to DPP realizations, and the …