Results 81 to 90 of about 634,955 (209)
State‐dependent dynamic tube MPC: A novel tube MPC method with a fuzzy model of disturbances
International Journal of Robust and Nonlinear Control, Volume 35, Issue 4, Page 1319-1354, 10 March 2025.Abstract Most real‐world systems are affected by external disturbances, which may be impossible or costly to measure. For instance, when autonomous robots move in dusty environments, the perception of their sensors is disturbed. Moreover, uneven terrains can cause ground robots to deviate from their planned trajectories.
Filip Surma, Anahita Jamshidnejad
wiley +1 more source
A discrete version and stability of Brunn Minkowski inequality [PDF]
arXiv, 2007 In the first part of the paper, we define an approximated Brunn-Minkowski inequality which generalizes the classical one for length spaces. Our new definition based only on distance properties allows us also to deal with discrete spaces. Then we show the stability of our new inequality under a convergence of metric measure spaces.
arxiv
Communications on Pure and Applied Mathematics, Volume 78, Issue 3, Page 545-591, March 2025.Abstract While there are numerous results on minimizers or stable solutions of the Bernoulli problem proving regularity of the free boundary and analyzing singularities, much less is known about critical points of the corresponding energy. Saddle points of the energy (or of closely related energies) and solutions of the corresponding time‐dependent ...
Dennis Kriventsov, Georg S. Weiss
wiley +1 more source
Uniqueness and continuity of the solution to $L_p$ dual Minkowski problem [PDF]
arXiv, 2021 Lutwak, Yang and Zhang \cite{LYZ2018} introduced the $L_p$ dual curvature measure that unifies several other geometric measures in dual Brunn-Minkowski theory and Brunn- Minkowski theory. Motivated by works in \cite{LYZ2018}, we consider the uniqueness and continuity of the solution to the $L_p$ dual Minkowski problem.
arxiv
Scandinavian Journal of Statistics, Volume 52, Issue 1, Page 480-512, March 2025.Abstract Given samples from two non‐negative random variables, we propose a family of tests for the null hypothesis that one random variable stochastically dominates the other at the second order. Test statistics are obtained as functionals of the difference between the identity and the Lorenz P–P plot, defined as the composition between the inverse ...
Tommaso Lando, Sirio Legramanti
wiley +1 more source
Brunn-Minkowski inequalities in product metric measure spaces [PDF]
arXiv, 2017 Given one metric measure space $X$ satisfying a linear Brunn-Minkowski inequality, and a second one $Y$ satisfying a Brunn-Minkowski inequality with exponent $p\ge -1$, we prove that the product $X\times Y$ with the standard product distance and measure satisfies a Brunn-Minkowski inequality of order $1/(1+p^{-1})$ under mild conditions on the measures
arxiv
Bulletin of the London Mathematical Society, Volume 57, Issue 3, Page 895-912, March 2025.Abstract We prove that at differentiability points r0>0$r_0>0$ of the volume function of a compact set A⊂Rd$A\subset \mathbb {R}^d$ (associating to r$r$ the volume of the r$r$‐parallel set of A$A$), the surface area measures of r$r$‐parallel sets of A$A$ converge weakly to the surface area measure of the r0$r_0$‐parallel set as r→r0$r\rightarrow r_0 ...
Jan Rataj, Steffen Winter
wiley +1 more source
Willmore‐type inequality in unbounded convex sets
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract In this paper, we prove the following Willmore‐type inequality: on an unbounded closed convex set K⊂Rn+1$K\subset \mathbb {R}^{n+1}$ (n⩾2$(n\geqslant 2$), for any embedded hypersurface Σ⊂K${\Sigma }\subset K$ with boundary ∂Σ⊂∂K$\partial {\Sigma }\subset \partial K$ satisfying a certain contact angle condition, there holds 1n+1∫ΣHndA⩾AVR(K)|Bn+
Xiaohan Jia +3 more
wiley +1 more source
Hölder and Minkowski Type Inequalities with Alternating Signs [PDF]
J. Math. Inequal. 9 (2015), no. 1, 61-71, 2013 We obtain new inequalities with alternating signs of H\"{o}lder and Minkowski type.
arxiv
Exponentials rarely maximize Fourier extension inequalities for cones
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract We prove the existence of maximizers and the precompactness of Lp$L^p$‐normalized maximizing sequences modulo symmetries for all valid scale‐invariant Fourier extension inequalities on the cone in R1+d$\mathbb {R}^{1+d}$. In the range for which such inequalities are conjectural, our result is conditional on the boundedness of the extension ...
Giuseppe Negro +3 more
wiley +1 more source