Results 81 to 90 of about 550,652 (221)
A Weighted Universality Theorem for Periodic Zeta-Functions
Mathematical Modelling and Analysis, 2017 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
International Journal of Robust and Nonlinear Control, Volume 35, Issue 5, Page 1719-1738, 25 March 2025.ABSTRACT In this paper, we study the leader‐following attitude consensus problem for multiple uncertain rigid body systems by a sampled‐data adaptive distributed observer. Unlike the existing sampled‐data distributed observer, which can only asymptotically estimate the state of the leader, the sampled‐data adaptive distributed observer can estimate ...
Changran He, Jie Huang
wiley +1 more source
Partial Sums of the Hurwitz and Allied Functions and Their Special Values
MathematicsWe 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
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A Weighted Discrete Universality Theorem for Periodic Zeta-Functions. II
Mathematical Modelling and Analysis, 2017 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
Cooperative Robust Output Regulation for Networks of Hyperbolic Systems With Unknown Signal Models
International Journal of Robust and Nonlinear Control, Volume 35, Issue 4, Page 1355-1367, 10 March 2025.ABSTRACT This Paper considers the cooperative robust output regulation problem for networks of heterodirectional hyperbolic systems, where the leader and disturbance dynamics are unknown to the followers. For this, a diffusively driven internal model is used, whose parameters are updated using an adaptive cooperative observer.
Tarik Enderes, Joachim Deutscher
wiley +1 more source
A short note on a extended finite secant series
AIMS Mathematics, 2023 In this paper, a summation formula for a general family of a finite secant sum has been extended by making use of a particularly convenient integration contour method.
Robert Reynolds
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Complementary Filter‐Based Incremental Nonlinear Model Following Control Design for a Tilt‐Wing UAV
International Journal of Robust and Nonlinear Control, Volume 35, Issue 4, Page 1596-1615, 10 March 2025.ABSTRACT This article presents an incremental nonlinear model following control (INMFC) strategy for a tilt‐wing vertical take‐off and landing (VTOL) unmanned aerial vehicle (UAV). To ensure a good and robust regulation performance, a two‐loop feedback controller, based on the incremental backstepping (IBS) methodology, is used to handle uncertainties ...
Johannes Autenrieb, Hyo‐Sang Shin
wiley +1 more source
Hurwitz numbers for reflection groups III: Uniform formulae
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract We give uniform formulae for the number of full reflection factorizations of a parabolic quasi‐Coxeter element in a Weyl group or complex reflection group, generalizing the formula for the genus‐0 Hurwitz numbers. This paper is the culmination of a series of three.
Theo Douvropoulos +2 more
wiley +1 more source
Hurwitz zeta and Euler-Zagier-Hurwitz type of double zeta distributions and real zeros of these zeta functions [PDF]
arXiv, 2013 In this paper, we give Hurwitz zeta distributions with $0 < \sigma \ne 1$ by using the Gamma function. During the proof process, we show that the Hurwitz zeta function $\zeta (\sigma,a)$ does not vanish for all $0 <\sigma <1$ if and only if $a \ge 1/2$.
arxiv
Efficient Solution of Sequences of Parametrized Lyapunov Equations With Applications
Numerical Linear Algebra with Applications, Volume 32, Issue 1, February 2025.ABSTRACT Sequences of parametrized Lyapunov equations can be encountered in many application settings. Moreover, solutions of such equations are often intermediate steps of an overall procedure whose main goal is the computation of trace(EX)$$ \mathrm{trace}(EX) $$, where X$$ X $$ denotes the solution of a Lyapunov equation and E$$ E $$ is a given ...
Davide Palitta +3 more
wiley +1 more source