Results 71 to 80 of about 7,129 (230)
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
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
Log-tangent integrals and the Riemann zeta function
We show that integrals involving the log-tangent function, with respect to any square-integrable function on , can be evaluated by the harmonic series. Consequently, several formulas and algebraic properties of the Riemann zeta function at odd positive ...
Lahoucine Elaissaoui +1 more
doaj +1 more source
Interactions between universal composition operators and complex dynamics
Abstract This paper is concerned with universality properties of composition operators Cf$C_f$, where the symbol f$f$ is given by a transcendental entire function restricted to parts of its Fatou set. We determine universality of Cf$C_f$ when f$f$ is restricted to (subsets of) Baker and wandering domains.
Vasiliki Evdoridou +2 more
wiley +1 more source
Partial Sums of the Hurwitz and Allied Functions and Their Special Values
We supplement the formulas for partial sums of the Hurwitz zeta-function and its derivatives, producing more integral representations and generic definitions of important constants.
Nianliang Wang +2 more
doaj +1 more source
A Weighted Universality Theorem for Periodic Zeta-Functions
The periodic zeta-function ζ(s; a), s = σ + it is defined for σ > 1 by the Dirichlet series with periodic coefficients and is meromorphically continued to the whole complex plane.
Renata Macaitienė +2 more
doaj +1 more source
Sharp Inequalities for the Hurwitz Zeta Function
Let \[ Q_{n,m}(p,a)=\left ({\zeta(p,a) - \sum_{\nu=0}^{n}(\nu+a)^{-p}}\over{\zeta(p,a) - \sum_{\nu=0}^{m}(\nu+a)^{-p}}\right )^{1\over{p-1}}, \] where \(m,n\in {\mathbb Z}\) with \(m>n \geq 0, p>1, a>0\) and \(\zeta(s,a) (s\in{\mathbb C},a>0)\) denotes the Hurwitz zeta function.
openaire +2 more sources
Taking limits in topological recursion
Abstract When does topological recursion applied to a family of spectral curves commute with taking limits? This problem is subtle, especially when the ramification structure of the spectral curve changes at the limit point. We provide sufficient (straightforward‐to‐use) conditions for checking when the commutation with limits holds, thereby closing a ...
Gaëtan Borot +4 more
wiley +1 more source
A Weighted Discrete Universality Theorem for Periodic Zeta-Functions. II
In the paper, a weighted theorem on the approximation of a wide class of analytic functions by shifts ζ(s + ikαh; a), k ∈ N, 0 < α < 1, and h > 0, of the periodic zeta-function ζ(s; a) with multiplicative periodic sequence a, is obtained.
Renata Macaitienė +2 more
doaj +1 more source
Some approximations with Hurwitz zeta function
In this paper, we focus on some approximations with Hurwitz zeta function. By using these approximations, we present some asymptotic formulae related to Hurwitz zeta function. As an application, we give two corollaries related to Bernoulli polynomials.
openaire +3 more sources

