Results 71 to 80 of about 1,610 (232)
Applied Mathematics in Science and EngineeringIn this work, we consider the degenerate Frobenius-Euler-Genocchi polynomials utilizing the degenerate exponential function and the degenerate Changhee-Frobenius-Euler-Genocchi polynomials utilizing the degenerate logarithm function.
Waseem Ahmad Khan +3 more
doaj +1 more source
Abstract and Applied Analysis, 2011 Recently mathematicians have studied some interesting relations between 𝑞-Genocchi numbers, 𝑞-Euler numbers, polynomials, Bernstein polynomials, and 𝑞-Bernstein polynomials.
H. Y. Lee, N. S. Jung, C. S. Ryoo
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New views of some invariants associated with the Cartesian 2D velocity gradient tensor
Quarterly Journal of the Royal Meteorological Society, EarlyView.Vorticity and divergence of horizontal flow are fundamental quantities in meteorology; both are linear functions of the four elements of the 2D velocity gradient tensor and both are formally unchanged under coordinate rotation. We explore four quadratic functions of the elements that are geometrically invariant in this sense, finding some novel ...
I. Roulstone, S. A. Clough, A. A. White
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Quarterly Journal of the Royal Meteorological Society, EarlyView.An energy‐conserving discrete framework for the vertical discretisation of stratified ocean models is developed using internal gravity‐wave theory. A β$$ \beta $$‐indexed family of schemes is analysed through perturbation theory, revealing optimal parameter choices and grid designs that reduce truncation errors significantly.
Gabriel Derrida +3 more
wiley +1 more source
Optimal Gain Selection for the Arbitrary‐Order Homogeneous Differentiator
International 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
Some identities involving q-poly-tangent numbers and polynomials and distribution of their zeros
Advances in Difference Equations, 2017 In this paper we introduce the q-poly-tangent polynomials and numbers. We also give some properties, explicit formulas, several identities, a connection with poly-tangent numbers and polynomials, and some integral formulas.
CS Ryoo, RP Agarwal
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Sliding Mode Control in Aerospace Applications: A Survey
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Sliding mode control (SMC) enjoys robustness to matched and unmatched (in the case of minimum phase input‐output dynamics) bounded perturbations, and finite time convergence. Second‐order and higher‐order sliding mode control systems (2‐SMC/HOSMC) retain all the advantages of sliding mode control, but in addition can be applied to systems of ...
Yuri Shtessel, Christopher Edwards
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A Note on the 𝑞-Euler Numbers and Polynomials with Weak Weight 𝛼
Journal of Applied Mathematics, 2011 We construct a new type of 𝑞-Euler numbers and polynomials with weak weight 𝛼 : 𝐸(𝛼)𝑛,𝑞, 𝐸(𝛼)𝑛,𝑞(𝑥), respectively. Some interesting results and relationships are obtained.
H. Y. Lee, N. S. Jung, C. S. Ryoo
doaj +1 more source
Control Design Based on Generalized Lur'e Lyapunov Functions for Sampled‐Data Lur'e Systems
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This article addresses the synthesis of stabilizing control laws for aperiodic sampled‐data Lur'e systems. Based on a hybrid system representation of the closed‐loop system and a timer‐dependent generalized Lur'e–Postnikov type Lyapunov function, stabilization conditions are obtained by separating decision variables with the application of two
Arthur Scolari Fagundes +2 more
wiley +1 more source
Exact Robust Filtering and Differentiation Based on Sliding Modes and Homogeneity
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This article addresses the problem of online estimation of the derivatives of a signal corrupted by measurement noise. The measured signal is modeled as the sum of a smooth nominal component and a uniformly bounded noise term. A key objective is to attenuate the effect of high‐frequency noise.
Jaime A. Moreno, Arie Levant
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