Results 51 to 60 of about 636,012 (237)
The Brunn–Minkowski inequality implies the CD condition in weighted Riemannian manifolds [PDF]
Nonlinear Analysis, 2022 Mattia Magnabosco +2 more
semanticscholar +1 more source
6. A note on the quantitative local version of the log-Brunn–Minkowski inequality [PDF]
, 2017 We prove that the log-Brunn-Minkowski inequality \begin{equation*} |\lambda K+_0 (1-\lambda)L|\geq |K|^{\lambda}|L|^{1-\lambda} \end{equation*} (where $|\cdot|$ is the Lebesgue measure and $+_0$ is the so-called log-addition) holds when $K\subset\mathbb ...
A. Colesanti, G. Livshyts
semanticscholar +1 more source
Scalable tube model predictive control of uncertain linear systems using ellipsoidal sets
International Journal of Robust and Nonlinear Control, Volume 35, Issue 7, Page 2499-2520, 10 May 2025.Abstract This work proposes a novel robust model predictive control (MPC) algorithm for linear systems affected by dynamic model uncertainty and exogenous disturbances. The uncertainty is modeled using a linear fractional perturbation structure with a time‐varying perturbation matrix, enabling the algorithm to be applied to a large model class. The MPC
Anilkumar Parsi +2 more
wiley +1 more source
Horocyclic Brunn-Minkowski inequality [PDF]
Advances in Mathematics, 2022 Rotem Assouline, B. Klartag
semanticscholar +1 more source
International Journal of Robust and Nonlinear Control, Volume 35, Issue 7, Page 2694-2716, 10 May 2025.Abstract The wave energy converter (WEC) control problem aims to make the best use of wave excitation to maximize energy capture and ensure safe operation across a broad range of sea states. This falls into the recently developed economic model predictive control (EMPC) framework, subject to wave excitation being treated as a predictable additive ...
Siyuan Zhan +2 more
wiley +1 more source
A Prékopa-Leindler type inequality of the $L_p$ Brunn-Minkowski inequality [PDF]
arXiv, 2020 In this paper, we prove a Pr\'ekopa-Leindler type inequality of the $L_p$ Brunn-Minkowski inequality. It extends an inequality proved by Das Gupta [8] and Klartag [16], and thus recovers the Pr\'ekopa-Leindler inequality. In addition, we prove a functional $L_p$ Minkowski inequality.
arxiv
Journal of Time Series Analysis, Volume 46, Issue 3, Page 582-595, May 2025.Estimating parameters of functional ARMA, GARCH and invertible processes requires estimating lagged covariance and cross‐covariance operators of Cartesian product Hilbert space‐valued processes. Asymptotic results have been derived in recent years, either less generally or under a strict condition.
Sebastian Kühnert
wiley +1 more source
Lp-Curvature Measures and Lp,q-Mixed Volumes
Journal of Function Spaces, 2022 Motivated by Lutwak et al.’s Lp-dual curvature measures, we introduce the concept of Lp-curvature measures. This new Lp-curvature measure is an extension of the classical surface area measure, Lp-surface area measure, and curvature measure. In this paper,
Tongyi Ma
doaj +1 more source
Mean‐field limit of non‐exchangeable systems
Communications on Pure and Applied Mathematics, Volume 78, Issue 4, Page 651-741, April 2025.Abstract This paper deals with the derivation of the mean‐field limit for multi‐agent systems on a large class of sparse graphs. More specifically, the case of non‐exchangeable multi‐agent systems consisting of non‐identical agents is addressed. The analysis does not only involve PDEs and stochastic analysis but also graph theory through a new concept ...
Pierre‐Emmanuel Jabin +2 more
wiley +1 more source
International Journal of Robust and Nonlinear Control, Volume 35, Issue 6, Page 2142-2155, April 2025.ABSTRACT Steering a nonlinear system from an initial state to a desired one is a common task in control. While a nominal trajectory can be obtained rather systematically using a model, for example, via numerical optimization, heuristics, or reinforcement learning, the design of a computationally fast and reliable feedback control law that guarantees ...
Nicolas Kessler, Lorenzo Fagiano
wiley +1 more source