Results 71 to 80 of about 2,436 (140)
Deformed graphical zonotopal algebras
, 2022 We study certain filtered deformations of the external zonotopal algebra of a given graph parametrized by univariate polynomials. We establish some general properties of these algebras, compute their Hilbert series for a number of graphs using Macaulay2, and formulate several conjectures.
Shapiro, Boris +2 more
openaire +2 more sources
A data‐driven safety preserving control architecture for constrained cyber‐physical systems
International Journal of Robust and Nonlinear Control, Volume 35, Issue 1, Page 343-358, 10 January 2025.Abstract In this article, we propose a data‐driven networked control architecture for unknown and constrained cyber‐physical systems capable of detecting networked false‐data‐injection attacks and ensuring plant's safety. In particular, on the controller's side, we design a novel robust anomaly detector that can discover the presence of network attacks
Mehran Attar, Walter Lucia
wiley +1 more source
CAT(0) and cubulated Shephard groups
Journal of the London Mathematical Society, Volume 111, Issue 1, January 2025.Abstract Shephard groups are common generalizations of Coxeter groups, Artin groups, and graph products of cyclic groups. Their definition is similar to that of a Coxeter group, but generators may have arbitrary order rather than strictly order 2. We extend a well‐known result that Coxeter groups are CAT(0)$\mathrm{CAT}(0)$ to a class of Shephard ...
Katherine M. Goldman
wiley +1 more source
Isoperimetry in integer lattices
Discrete Analysis, 2018 Isoperimetry in integer lattices, Discrete Analysis 2018:7, 16 pp. The isoperimetric problem, already known to the ancient Greeks, concerns the minimisation of the size of a boundary of a set under a volume constraint.
Ben Barber, Joshua Erde
doaj +1 more source
International Transactions on Electrical Energy Systems, Volume 2025, Issue 1, 2025.Flexible load resources on the demand side are characterized by diverse types, small capacity, and wide distribution. Since these load resources cannot be individually invoked at the system level, it is becoming increasingly important to consider how to establish heterogeneous flexible load aggregates and utilize their adjustable characteristics.
Chenzheng Xie +4 more
wiley +1 more source
Data‐driven dual‐loop control for platooning mixed human‐driven and automated vehicles
IET Intelligent Transport Systems, Volume 18, Issue 12, Page 2576-2585, December 2024.This paper considers controlling automated vehicles to form a platoon with human‐driven vehicles under consideration of unknown HV model parameters and propulsion time constants. The proposed design is a data‐driven dual‐loop control strategy for the ego automated vehicles, where the inner loop controller ensures platoon stability and the outer loop ...
Jianglin Lan
wiley +1 more source
Zonotope approximation based flexible cluster division method for load‐side resource scheduling
IET Renewable Power Generation, Volume 18, Issue 16, Page 3593-3602, 7 December 2024.A load‐side resource flexibility cluster partitioning method based on zonotope approximation is proposed to cope with the flexibility adjustment requirements brought by uncertain resources. The proposed method can fully exploit the flexible adjustment ability of load‐side resources and effectively balance aggregation accuracy and calculation speed. The
Zongjun Yao, Tieyan Zhang, Jinfeng Huang
wiley +1 more source
Practical Volume Estimation by a New Annealing Schedule for Cooling Convex Bodies
, 2019 We study the problem of estimating the volume of convex polytopes, focusing on H- and V-polytopes, as well as zonotopes. Although a lot of effort is devoted to practical algorithms for H-polytopes there is no such method for the latter two ...
Chalkis, Apostolos +2 more
core +2 more sources
, 2018 We study a family of lattice polytopes, called primitive zonotopes, describe instances with small parameters, and discuss connections to the largest diameter of lattice polytopes and to the computational complexity of multicriteria matroid optimization. Complexity results and open questions are also presented.
Deza, Antoine +2 more
openaire +3 more sources
IET Renewable Power Generation, Volume 18, Issue 16, Page 4034-4046, 7 December 2024.The virtual power plant integrating the flexible resources in the distribution network can provide additional adjustment capacity for the auxiliary services of distribution network. However, the actual internal situation of distribution network including insufficient adjustable capacity of energy storage, unreasonable power allocation, and voltage ...
Zejian Qiu +5 more
wiley +1 more source