Results 71 to 80 of about 1,991 (112)

Aggregation Method and Bidding Strategy for Virtual Power Plants in Energy and Frequency Regulation Markets Using Zonotopes

Energies
Aggregating and scheduling flexible resources through virtual power plants (VPPs) is a key measure used to improve the flexibility of new power systems.
Jun Zhan, Mei Huang, Xiaojia Sun, Zuowei Chen, Yubo Zhang, Xuejing Xie, Yilin Chen, Yining Qiao, Qian Ai   +8 more
doaj   +1 more source

Polar Root Polytopes that are Zonotopes

, 2015
Let $\mathcal P_{\Phi}$ be the root polytope of a finite irreducible crystallographic root system $\Phi$, i.e., the convex hull of all roots in $\Phi$. The polar of $\mathcal P_{\Phi}$, denoted $\mathcal P_{\Phi}^*$, coincides with the union of the orbit
Cellini, Paola, Marietti, Mario
core  

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

Tube-Based Model Predictive Control Based on Constrained Zonotopes

IEEE Access
This paper introduces a tube-based Model Predictive Control (MPC) formulation for high-order uncertain Linear Parameter-Varying (LPV) systems, utilizing efficient set representations.
Richard Andrade, Julio E. Normey-Rico, Guilherme V. Raffo   +2 more
doaj   +1 more source

Nonconvexity of the set of hypergraph degree sequences [PDF]

, 2012
It is well known that the set of possible degree sequences for a graph on $n$ vertices is the intersection of a lattice and a convex polytope. We show that the set of possible degree sequences for a $k$-uniform hypergraph on $n$ vertices is not the ...
Liu, Ricky Ini
core  

Safe Motion Planning and Control Framework for Automated Vehicles with Zonotopic TRMPC

Engineering
Model mismatches can cause multi-dimensional uncertainties for the receding horizon control strategies of automated vehicles (AVs). The uncertainties may lead to potentially hazardous behaviors when the AV tracks ideal trajectories that are individually ...
Hao Zheng, Yinong Li, Ling Zheng, Ehsan Hashemi   +3 more
doaj   +1 more source

Bounded Error Identification of Systems With Time-Varying Parameters [PDF]

, 2006
This note presents a new approach to guaranteed system identification for time-varying parameterized discrete-time systems. A bounded description of noise in the measurement is considered.
Alamo, Teodoro, Bravo, J.M., Camacho, Eduardo F.   +2 more
core  

Decomposing and Tracing Mutual Information by Quantifying Reachable Decision Regions. [PDF]

Entropy (Basel), 2023
Mages T, Rohner C.
europepmc   +1 more source

Isocanted cube: the lower Lebesgue volumes, incidence numbers and symmetries of this d–dimensional tile

Extracta Mathematicae
Let d ≥ 2. In this paper we prove that Id(ℓ, a) fills Rd face–to–face by translations. We prove that the symmetry group of Id(ℓ, a) contains the product of cyclic groups Cd × C2 as a subgroup.
María Jesús de la Puente
doaj   +1 more source

Continuum limits of discrete isoperimetric problems and Wulff shapes in lattices and quasicrystal tilings. [PDF]

Calc Var Partial Differ Equ, 2022
Del Nin G, Petrache M.
europepmc   +1 more source