Results 51 to 60 of about 172,575 (209)

Computing the Hessenberg matrix associated with a self-similar measure [PDF]

open access: yes, 2011
We introduce in this paper a method to calculate the Hessenberg matrix of a sum of measures from the Hessenberg matrices of the component measures. Our method extends the spectral techniques used by G.
Torrano, E.   +7 more
core   +1 more source

On the Integral Representation of Jacobi Polynomials

open access: yesMathematics
In this paper, we present a new integral representation for the Jacobi polynomials that follows from Koornwinder’s representation by introducing a suitable new form of Euler’s formula.
Enrico De Micheli
doaj   +1 more source

Peskine Sixfolds and Debarre–Voisin Fourfolds With Associated Cubic Fourfolds

open access: yesMathematische Nachrichten, EarlyView.
ABSTRACT We develop the notion of Peskine sixfolds with associated K3 surfaces and cubic fourfolds and work out numerical conditions for when these associations occur. In discriminant 24, the first family for which there is an associated cubic fourfold, we identify the cubic explicitly.
Corey Brooke   +3 more
wiley   +1 more source

Enhanced Control Strategies for Residual‐Vibration Suppression and Adaptive Tracking in Flexible Manipulator Under Unknown Bounded Disturbances

open access: yesInternational Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT This paper proposes a hybrid control strategy for flexible‐link manipulators that combines offline trajectory planning with adaptive tracking to suppress residual elastic vibration (REV) under unknown bounded disturbances. A rigid–flexible coupling dynamics model is first established using the floating‐frame method and Lagrange's equations ...
Mingming Shi   +5 more
wiley   +1 more source

Design of quadrature rules for Müntz and Müntz-logarithmic polynomials using monomial transformation [PDF]

open access: yes, 2009
A method for constructing the exact quadratures for Müntz and Müntz-logarithmic polynomials is presented. The algorithm does permit to anticipate the precision (machine precision) of the numerical integration of Müntz-logarithmic polynomials in terms of ...
Lombardi, Guido
core   +1 more source

Extended Jacobi Functions via Riemann-Liouville Fractional Derivative

open access: yesAbstract and Applied Analysis, 2013
By means of the Riemann-Liouville fractional calculus, extended Jacobi functions are de…fined and some of their properties are obtained. Then, we compare some properties of the extended Jacobi functions extended Jacobi polynomials.
Bayram Çekim, Esra Erkuş-Duman
doaj   +1 more source

Optimal Gain Selection for the Arbitrary‐Order Homogeneous Differentiator

open access: yesInternational Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Differentiation of noisy signals is a relevant and challenging task. Widespread approaches are the linear high‐gain observer acting as a differentiator and Levant's robust exact differentiator with a discontinuous right‐hand side. We consider the family of arbitrary‐order homogeneous differentiators, which includes these special cases.
Benjamin Calmbach   +2 more
wiley   +1 more source

Painleve Equations and Orthogonal Polynomials [PDF]

open access: yes, 2016
In this thesis we classify all of the special function solutions to Painleve equations and all their associated equations produced using their Hamiltonian structures.
Smith, James
core  

Recurrence Relations for Jacobi Orthogonal Polynomials on the Triangular Domain

open access: yesImage Analysis and Stereology
In this paper, we present recurrence relations for the Jacobi weighted orthogonal polynomials Pn,r(α,β,γ) (u, v, w) with r = 0, 1, . . . , n, where n ≥ 0, defined on the triangular domain T = {(u, v, w) : u, v, w ≥ 0, u + v + w = 1} for values of α, β ...
Wala’a A. AlKasasbeh   +5 more
doaj   +1 more source

Validation of Neural Network Controllers for Uncertain Systems Using the Keep‐Close Approach: Robustness Analysis and Safety Verification

open access: yesInternational Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT The safety verification of neural network (NN) controllers operating in uncertain environments characterized by unmodeled dynamics, nonlinearities, and time delays remains a fundamental challenge in robust control analysis. This article introduces a novel method, termed Keep‐Close, for analyzing the performance and robustness of uncertain ...
Abdelhafid Zenati, Nabil Aouf
wiley   +1 more source

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