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Galerkin approximationwith Legendre polynomials for a continuous-time nonlinear optimal control problem Article

Xue-song CHEN

Frontiers of Information Technology & Electronic Engineering 2017, Volume 18, Issue 10,   Pages 1479-1487 doi: 10.1631/FITEE.1601101

Abstract: The Galerkin approximation with Legendre polynomials (GALP) for GHJB equations has not been applied toThe integrals that need to be computed are much fewer due to the orthogonal properties of Legendre polynomials

Keywords： Generalized Hamilton-Jacobi-Bellman equation     Nonlinear optimal control     Galerkin approximation     Legendrepolynomials    

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Synchronization of two different chaotic systems using Legendre polynomials with applications in secure None

Saeed KHORASHADIZADEH, Mohammad-Hassan MAJIDI

Frontiers of Information Technology & Electronic Engineering 2018, Volume 19, Issue 9,   Pages 1180-1190 doi: 10.1631/FITEE.1601814

Abstract: It consists of a state feedback controller and a robust control term using Legendre polynomials to compensateDue to the orthogonal functions theorem, Legendre polynomials can approximate nonlinear functions withLegendre polynomials have fewer tuning parameters than fuzzy systems and neural networks.Similar to the parameters of fuzzy systems, Legendre coefficients are estimated online using the adaptation

Keywords： Observer-based synchronization     Chaotic systems     Legendre polynomials     Secure communications    

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Anisotropy of multi-layered structure with sliding and bonded interlayer conditions

Lingyun YOU, Kezhen YAN, Jianhong MAN, Nengyuan LIU

Frontiers of Structural and Civil Engineering 2020, Volume 14, Issue 3,   Pages 632-645 doi: 10.1007/s11709-020-0617-4

Abstract: Gauss-Legendre quadrature is a key scheme in the numerical inversion process.

Keywords： multi-layered structure     Hankel transformation     anisotropic     transversely isotropic     interlayer condition     Gauss-Legendre    

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High-precision Numerical Computation of High-degree Gauss quadrature Nodes

Zhang Qingli,Wang Xiaomei,Yin Shaotang,Jiang Haihe

Strategic Study of CAE 2008, Volume 10, Issue 2,   Pages 35-40

Abstract: A method to compute the zeroes of the high-degree Legendre, Laguerre and Hermite polynomials, which arethe nodes of Gauss-Legendre, Gauss-Laguerre and Gauss-Hermite Quadrature, respectively, is studied,According to the properties of Legendre, Laguerre and Hermite polynomials, their definitions are modifiedTo extract these polynomials, their root intervals are searched with a certain step within a certain, Laguerre and Hermite polynomials can be extracted.

Keywords： Gauss quadrature     Legendre polynomial     Laguerre polynomial     Hermite polynomial     extract roots    

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A multistandard and resource-efficient Viterbi decoder for a multimode communication system None

Yi-qi XIE, Zhi-guo YU, Yang FENG, Lin-na ZHAO, Xiao-feng GU

Frontiers of Information Technology & Electronic Engineering 2018, Volume 19, Issue 4,   Pages 536-543 doi: 10.1631/FITEE.1601596

Abstract: architecture supports constraint lengths from 3 to 9, code rates of 1/2, 1/3, and 1/4, and fully optional polynomials

Keywords： Multi-parameter     Low resource consumption     Standard convolutional symbols generator (SCSG)     Fully optional polynomials    

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Title Author Date Type Operation

Galerkin approximationwith Legendre polynomials for a continuous-time nonlinear optimal control problem

Xue-song CHEN

Journal Article

Synchronization of two different chaotic systems using Legendre polynomials with applications in secure

Saeed KHORASHADIZADEH, Mohammad-Hassan MAJIDI

Journal Article

Anisotropy of multi-layered structure with sliding and bonded interlayer conditions

Lingyun YOU, Kezhen YAN, Jianhong MAN, Nengyuan LIU

Journal Article

High-precision Numerical Computation of High-degree Gauss quadrature Nodes

Zhang Qingli,Wang Xiaomei,Yin Shaotang,Jiang Haihe

Journal Article

A multistandard and resource-efficient Viterbi decoder for a multimode communication system

Yi-qi XIE, Zhi-guo YU, Yang FENG, Lin-na ZHAO, Xiao-feng GU

Journal Article