Decomposable polynomials in second order linear recurrence sequences
Sign Up to like & getrecommendations! Published in 2017 at "manuscripta mathematica"
DOI: 10.1007/s00229-018-1070-8
Abstract: We study elements of second order linear recurrence sequences $$(G_n)_{n= 0}^{\infty }$$(Gn)n=0∞ of polynomials in $${{\mathbb {C}}}[x]$$C[x] which are decomposable, i.e. representable as $$G_n=g\circ h$$Gn=g∘h for some $$g, h\in {{\mathbb {C}}}[x]$$g,h∈C[x] satisfying $$\deg g,\deg h>1$$degg,degh>1.… read more here.
Keywords: second order; order linear; recurrence sequences; linear recurrence ... See more keywords
Two second-order and linear numerical schemes for the multi-dimensional nonlinear time-fractional Schrödinger equation
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DOI: 10.1007/s11075-020-01044-y
Abstract: This paper presents two second-order and linear finite element schemes for the multi-dimensional nonlinear time-fractional Schrödinger equation. In the first numerical scheme, we adopt the L 2-1 σ formula to approximate the Caputo derivative. However,… read more here.
Keywords: order linear; schemes multi; order; second order ... See more keywords
State-space Realization and Generalized Popov Belevitch Hautus Criterion for High-order Linear systems—The Singular Case
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Control, Automation and Systems"
DOI: 10.1007/s12555-019-0212-4
Abstract: In this paper, based on the inverse of block companion matrix pencils associated with matrix polynomials, a first-order state-space realization in descriptor system form for a general high-order linear system is derived. An important feature… read more here.
Keywords: order linear; order; system; state space ... See more keywords
On higher-order linear Port-Hamiltonian Systems and their duals
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DOI: 10.1016/j.ifacol.2017.08.1283
Abstract: Abstract We formulate a behavioral approach to higher-order linear port-Hamiltonian systems. We formalize constitutive laws such as power conservation, storage and (anti-)dissipative relations, and we study several properties of such systems. We also define the… read more here.
Keywords: order linear; port hamiltonian; higher order; linear port ... See more keywords
On the reduction of high order linear PDEs to first order
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DOI: 10.1016/j.laa.2017.05.005
Abstract: Abstract Different first order representations of high order linear PDEs, depending on which notion of the degree of a polynomial is chosen, are possible. Two notions of degree, namely, the total degree and multi-degree, are… read more here.
Keywords: order linear; order; first order; linear pdes ... See more keywords
Numerical solution of high-order linear Volterra integro-differential equations by using Taylor collocation method
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Computer Mathematics"
DOI: 10.1080/00207160.2018.1484112
Abstract: ABSTRACT The main purpose of this work is to provide a new direct numerical method for high-order linear Volterra integro-differential equations (VIDEs). An algorithm based on the use of Taylor polynomials is developed for the… read more here.
Keywords: order linear; integro differential; high order; volterra integro ... See more keywords
Second order linear difference equations
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Difference Equations and Applications"
DOI: 10.1080/10236198.2017.1408608
Abstract: Abstract We provide the explicit solution of a general second order linear difference equation via the computation of its associated Green function. This Green function is completely characterized and we obtain a closed expression for… read more here.
Keywords: order linear; difference equations; difference; second order ... See more keywords
Sensorless Control of Induction Motors Based on Fractional-Order Linear Super-Twisting Sliding Mode Observer With Flux Linkage Compensation
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Access"
DOI: 10.1109/access.2020.3024626
Abstract: A robust fractional-order linear super-twisting sliding mode observer (LSTSMO) for an induction motor speed sensorless system is proposed in this study to solve the problem of balance between sliding mode chattering and estimation accuracy. First,… read more here.
Keywords: sliding mode; order linear; super twisting; fractional order ... See more keywords
Nonasymptotic Pseudo-State Estimation for a Class of Fractional Order Linear Systems
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DOI: 10.1109/tac.2016.2575830
Abstract: This paper aims at designing a nonasymptotic and robust pseudo-state estimator for a class of fractional order linear systems which can be transformed into the Brunovsky's observable canonical form of pseudo-state space representation with unknown… read more here.
Keywords: state; fractional order; order linear; pseudo state ... See more keywords
Surprising states of order for linear diblock copolymers
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DOI: 10.1126/science.aan1488
Abstract: Thermal treatments unlock low-symmetry phases resembling those of metals and alloys Two polymers that are immiscible would separate on a macroscopic scale—like oil and water—to minimize interfacial area. However, when the different polymer chains are… read more here.
Keywords: order linear; linear diblock; surprising states; states order ... See more keywords
On the fourth-order linear recurrence formula related to classical Gauss sums
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DOI: 10.1515/math-2017-0104
Abstract: Abstract Let p be an odd prime with p ≡ 1 mod 4, k be any positive integer, ψ be any fourth-order character mod p. In this paper, we use the analytic method and the… read more here.
Keywords: order linear; order; recurrence formula; fourth order ... See more keywords