Results 91 to 100 of about 627,608 (258)

Uniqueness of Solutions to a Nonlinear Elliptic Hessian Equation

Journal of Applied Mathematics, 2016
Through an Alexandrov-Fenchel inequality, we establish the general Brunn-Minkowski inequality. Then we obtain the uniqueness of solutions to a nonlinear elliptic Hessian equation on Sn.
Siyuan Li
doaj   +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

Some new refinements of the Young, Hölder, and Minkowski inequalities

Journal of Inequalities and Applications, 2023
We prove and discuss some new refined Hölder inequalities for any p > 1 $p>1$ and also a reversed version for 0 < p < 1 $0 ...
Ludmila Nikolova, Lars-Erik Persson, Sanja Varošanec   +2 more
doaj   +1 more source

Gaussian Brunn-Minkowski inequalities [PDF]

Transactions of the American Mathematical Society, 2010
A detailed investigation is undertaken into Brunn-Minkowski-type inequalities for Gauss measure. A Gaussian dual Brunn-Minkowski inequality is proved, together with precise equality conditions, and shown to be best possible from several points of view. A possible new Gaussian Brunn-Minkowski inequality is proposed, and proved to be true in some special
Richard J. Gardner, Artem Zvavitch
openaire   +2 more sources

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

Dual Orlicz geominimal surface area

Journal of Inequalities and Applications, 2016
The L p $L_{p}$ -geominimal surface area was introduced by Lutwak in 1996, which extended the important concept of the geominimal surface area. Recently, Wang and Qi defined the p-dual geominimal surface area, which belongs to the dual Brunn-Minkowski ...
Tongyi Ma, Weidong Wang
doaj   +1 more source

Estimating lagged (cross‐)covariance operators of Lp‐m‐approximable processes in Cartesian product Hilbert spaces

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

The General Minkowski Inequality for Mixed Volume

Journal of Function Spaces
Mixed volume is an important notion in convex geometry, which is the extension of volume and surface area. The Minkowski inequality for mixed volume plays a vital role in convex geometry.
Yusha Lv
doaj   +1 more source

Generic root counts and flatness in tropical geometry

Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.
Abstract We use tropical and nonarchimedean geometry to study the generic number of solutions of families of polynomial equations over a parameter space Y$Y$. In particular, we are interested in the choices of parameters for which the generic root count is attained.
Paul Alexander Helminck, Yue Ren
wiley   +1 more source

Inequalities for dual affine quermassintegrals

Journal of Inequalities and Applications, 2006
For star bodies, the dual affine quermassintegrals were introduced and studied in several papers. The aim of this paper is to study them further. In this paper, some inequalities for dual affine quermassintegrals are established, such as the Minkowski ...
Jun Yuan, Gangsong Leng
doaj