Zobrazeno 1 - 10
of 1 374
pro vyhledávání: '"Gutiérrez, David"'
Borell's inequality states the existence of a positive absolute constant $C>0$ such that for every $1\leq p\leq q$ $$ \left(\mathbb E|\langle X, e_n\rangle|^p\right)^\frac{1}{p}\leq\left(\mathbb E|\langle X, e_n\rangle|^q\right)^\frac{1}{q}\leq C\fra
Externí odkaz:
http://arxiv.org/abs/2407.18235
A classical inequality by Gr\"unbaum provides a sharp lower bound for the ratio $\mathrm{vol}(K^{-})/\mathrm{vol}(K)$, where $K^{-}$ denotes the intersection of a convex body with non-empty interior $K\subset\mathbb{R}^n$ with a halfspace bounded by
Externí odkaz:
http://arxiv.org/abs/2404.08319
The signal differentiation problem involves the development of algorithms that allow to recover a signal's derivatives from noisy measurements. This paper develops a first-order differentiator with the following combination of properties: robustness
Externí odkaz:
http://arxiv.org/abs/2404.05863
Publikováno v:
Book Chapter "Designing controllers with predefined convergence-time bound using bounded time-varying gains", publised in Sliding-Mode Control and Variable-Structure Systems, Springer Nature Switzerland AG 2023
Recently, there has been a great deal of attention in a class of controllers based on time-varying gains, called prescribed-time controllers, that steer the system's state to the origin in the desired time, a priori set by the user, regardless of the
Externí odkaz:
http://arxiv.org/abs/2311.02473
We consider the problem of finding the best function $\varphi_n:[0,1]\to\mathbb{R}$ such that for any pair of convex bodies $K,L\in\mathbb{R}^n$ the following Brunn-Minkowski type inequality holds $$ |K+_\theta L|^\frac{1}{n}\geq\varphi_n(\theta)(|K|
Externí odkaz:
http://arxiv.org/abs/2211.17069
According to recent results, convergence in a prespecified or prescribed finite time can be achieved under extreme model uncertainty if control is applied continuously over time. This paper shows that this extreme amount of uncertainty cannot be tole
Externí odkaz:
http://arxiv.org/abs/2211.08187