Results 51 to 60 of about 634,955 (209)

Sensitivity‐Based Distributed Model Predictive Control for Non‐Linear Systems Under Inexact Optimization

Optimal Control Applications and Methods, EarlyView.
This article introduces a novel sensitivity‐based algorithm for nonlinear distributed model predictive control. The algorithm requires only local computations with one neighbor‐to‐neighbor communication step per iteration and exhibits a linear order of convergence under suitable conditions.
Maximilian Pierer von Esch, Andreas Völz, Knut Graichen   +2 more
wiley   +1 more source

Dual Brunn-Minkowski inequality for C-star bodies [PDF]

arXiv, 2023
In this paper, we consider the concept of $C$-star body in a fixed pointed closed convex cone $C$ and study the dual mixed volume for $C$-star bodies. For $C$-star bodies, we establish the corresponding dual Brunn-Minkowski inequality, the dual Minkowski inequality and the dual Aleksandrov-Fenchel inequality. Our dual Brunn-Minkowski inequality for $C$-
arxiv  

N-dimension for dynamic generalized inequalities of Hölder and Minkowski type on diamond alpha time scales

AIMS Mathematics
Expanding on our research, this paper introduced novel generalizations of H ölder's and Minkowski's dynamic inequalities on diamond alpha time scales.
Elkhateeb S. Aly, Ali M. Mahnashi, Abdullah A. Zaagan, I. Ibedou, A. I. Saied, Wael W. Mohammed   +5 more
doaj   +1 more source

Blaschke-Santaló inequalities for Minkowski and Asplund endomorphisms [PDF]

arXiv, 2021
It is shown that each monotone Minkowski endomorphism of convex bodies gives rise to an isoperimetric inequality which directly implies the classical Urysohn inequality. Among this large family of new inequalities, the only affine invariant one - the Blaschke-Santal\'o inequality - turns out to be the strongest one.
arxiv  

The Brunn-Minkowski inequality [PDF]

Bulletin of the American Mathematical Society, 2002
In 1978, Osserman [124] wrote an extensive survey on the isoperimetric inequality. The Brunn-Minkowski inequality can be proved in a page, yet quickly yields the classical isoperimetric inequality for important classes of subsets of Rn, and deserves to be better known.
openaire   +2 more sources

Minkowski inequality for nearly spherical domains

Advances in Mathematics, 2022
ISSN:1090 ...
openaire   +3 more sources

On the deep‐water and shallow‐water limits of the intermediate long wave equation from a statistical viewpoint

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract We study convergence problems for the intermediate long wave (ILW) equation, with the depth parameter δ>0$\delta > 0$, in the deep‐water limit (δ→∞$\delta \rightarrow \infty$) and the shallow‐water limit (δ→0$\delta \rightarrow 0$) from a statistical point of view.
Guopeng Li, Tadahiro Oh, Guangqu Zheng
wiley   +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, Andrea Iannelli, Roy S. Smith   +2 more
wiley   +1 more source

Terminal weight and constraint design for wave energy converter economic model predictive control problems

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, Yutao Chen, John Vincent Ringwood   +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