Results 71 to 80 of about 32,458 (230)
A mixed joint universality theorem for zeta‐functions
In the paper, a joint universality theorem for the Riemann zeta‐function and a collection of periodic Hurwitz zeta‐functions on approximation of analytic functions is obtained.
Jonas Genys+3 more
doaj +1 more source
Safe Continual Learning in Model Predictive Control With Prescribed Bounds on the Tracking Error
ABSTRACT We develop a three‐component Model Predictive Control (MPC) algorithm to achieve output‐reference tracking with prescribed performance for continuous‐time nonlinear systems. One component is the so‐called funnel MPC, which achieves reference tracking with prescribed performance for the model output for suitable models.
Lukas Lanza+3 more
wiley +1 more source
The purpose of present paper is to introduce a new extension of Hurwitz-Lerch Zeta function by using the extended Beta function. Some recurrence relations, generating relations and integral representations are derived for that new extension.
Salem Saleh Barahmah
doaj +1 more source
ABSTRACT This work addresses the problem of developing a nonfragile sliding mode observer for fractional‐order complex networked systems (FO‐CNS) under stochastic network attacks. The proposed approach employs a combination of event‐triggered techniques. First, a nonfragile fractional‐order state observer is developed, enabling the design of a suitable
Xin Meng+2 more
wiley +1 more source
Fractional gaussian noise: Spectral density and estimation methods
The fractional Brownian motion (fBm) process, governed by a fractional parameter H∈(0,1), is a continuous‐time Gaussian process with its increment being the fractional Gaussian noise (fGn). This article first provides a computationally feasible expression for the spectral density of fGn.
Shuping Shi, Jun Yu, Chen Zhang
wiley +1 more source
Vanishing of the integral of the Hurwitz zeta Function [PDF]
A proof is given that the improper Riemann integral of ζ(s, a) with respect to the real parameter a, taken over the interval (0, 1], vanishes for all complex s with ℜ(s) < 1. The integral does not exist (as a finite real number) when ℜ(s) ≥ 1.
openaire +3 more sources
Universality Theorems for Some Composite Functions
In [5], it was proved that a collection consisting from Dirichlet L-functions and periodic Hurwitz zeta-functions is universal in the sense that the shifts of those functions approximate simultaneously a given collection of analytic functions.
Kęstutis Janulis+3 more
doaj +1 more source
Safety Filters Against Actuator Attacks
ABSTRACT This manuscript focuses on mitigating the effect of deception attacks on control signals, that is, in the presence of an adversary that tampers with data coming from the controller to the system actuators in order to degrade the plant performance.
Cédric Escudero+4 more
wiley +1 more source
A weighted limit theorem for periodic Hurwitz zeta-function
In the paper, a weighted limit theorem for weakly convergent probability measures on the complex plane for the periodic Hurwitz zeta function is obtained.
Oleg Lukašonok
doaj +1 more source
Jacobian elliptic fibrations on K3s with a non‐symplectic automorphism of order 3
Abstract Let X$X$ be a K3 surface admitting a non‐symplectic automorphism σ$\sigma$ of order 3. Building on work by Garbagnati and Salgado, we classify the Jacobian elliptic fibrations on X$X$ with respect to the action of σ$\sigma$ on their fibers. If the fiber class of a Jacobian elliptic fibration on NS(X)$\operatorname{NS}(X)$ is fixed by σ$\sigma$,
Felipe Zingali Meira
wiley +1 more source