• Title/Summary/Keyword: Singular function

검색결과 260건 처리시간 0.024초

An Identification Technique Based on Adaptive Radial Basis Function Network for an Electronic Odor Sensing System

  • Byun, Hyung-Gi
    • 센서학회지
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    • 제20권3호
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    • pp.151-155
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    • 2011
  • A variety of pattern recognition algorithms including neural networks may be applicable to the identification of odors. In this paper, an identification technique for an electronic odor sensing system applicable to wound state monitoring is presented. The performance of the radial basis function(RBF) network is highly dependent on the choice of centers and widths in basis function. For the fine tuning of centers and widths, those parameters are initialized by an ill-conditioned genetic fuzzy c-means algorithm, and the distribution of input patterns in the very first stage, the stochastic gradient(SG), is adapted. The adaptive RBF network with singular value decomposition(SVD), which provides additional adaptation capabilities to the RBF network, is used to process data from array-based gas sensors for early detection of wound infection in burn patients. The primary results indicate that infected patients can be distinguished from uninfected patients.

Analysis of Steady Vortex Rings Using Contour Dynamics Method for the Stream Function

  • Choi, Yoon-Rak
    • 한국해양공학회지
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    • 제34권2호
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    • pp.89-96
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    • 2020
  • In this study, the Norbury-Fraenkel family of vortex rings is analyzed using a contour dynamics method for the stream function, which significantly reduces the numerical burden in the calculation. The stream function is formulated as the integral along the contour of the vorticity core. The integration over the logarithmic-singular segment is evaluated analytically, and the positions of the nodal points of the contour are calculated directly. The shapes of the cores and the dividing stream surfaces are found based on the mean core radius. Compared with other studies, the proposed method is verified and found to be more efficient.

SINGULAR SOLUTIONS OF AN INHOMOGENEOUS ELLIPTIC EQUATION

  • Bouzelmate, Arij;Gmira, Abdelilah
    • Nonlinear Functional Analysis and Applications
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    • 제26권2호
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    • pp.237-272
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    • 2021
  • The main purpose of the present paper is to study the asymptotic behavior near the origin of radial solutions of the equation 𝚫p u(x) + uq(x) + f(x) = 0 in ℝN\{0}, where p > 2, q > 1, N ≥ 1 and f is a continuous radial function on ℝN\{0}. The study depends strongly of the sign of the function f and the asymptotic behavior near the origin of the function |x|λf(|x|) with suitable conditions on λ > 0.

THE SINGULARITIES FOR BIHARMONIC PROBLEM WITH CORNER SINGULARITIES

  • Woo, Gyungsoo;Kim, Seokchan
    • East Asian mathematical journal
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    • 제36권5호
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    • pp.583-591
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    • 2020
  • In [8, 9] they introduced a new finite element method for accurate numerical solutions of Poisson equations with corner singularities. They consider the Poisson equations with corner singularities, compute the finite element solutions using standard Finite Element Methods and use the extraction formula to compute the stress intensity factor(s), then they posed new PDE with a regular solution by imposing the nonhomogeneous boundary condition using the computed stress intensity factor(s), which converges with optimal speed. From the solution they could get an accurate solution just by adding the singular part. The error analysis was given in [5]. In their approaches, the singular functions and the extraction formula which give the stress intensity factor are the basic elements. In this paper we consider the biharmonic problems with the cramped and/or simply supported boundary conditions and get the singular functions and its duals and find properties of them, which are the cornerstones of the approaches of [8, 9, 10].

한켈특이치와 특이벡터를 이용한 복수 입력 시간지연 시스템의 유리근사화 (Rational Approximation of Multiple Input Delay Systems Using the Hankel Singular Values Vectors)

  • 황이철
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1996년도 춘계학술대회 논문집
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    • pp.299-304
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    • 1996
  • This paper studies the rational approximation of multiple input delay systems using the Hankel singular values and vectors, which are the soultion of a transcendental equation. Rational approximatants are obtained from output normal realizations which are constructed by the Hankel singular values and vectors. Consequently, it is shown that rational approximants by output normal realization preserve intrinsic properties of time delay systems than Pade approximants.

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Duffy 방법을 이용한 임의 형상 도체의 전자파 산란 해석 (Analysis of Electromagnetic Scattering from an Arbitrarily-Shaped Conductor using Duffy한s Method)

  • 이승학;김채영;이창원
    • 한국전자파학회논문지
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    • 제13권8호
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    • pp.834-842
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    • 2002
  • 임의 모양의 완전도체의 전자파 산란을 해석하기 위하여 모멘트 방법을 이용하였다. GID(Graphic Interface Design)툴을 이용하여 설계된 금속 도체의 표면은 서로 다른 모양의 삼각패치로 모델링 되었다. 도체 표면전류는 삼각패치의 벡터 기저함수로 확장되었다. 관측점과 전원점이 동일 삼각패치에 위치할 때, 삼각패치의 특이점 적분은 Duffy 방법을 이용하여 특이점이 없는 적분으로 변환이 가능하였고, 변환된 특이점 항들은 1차원의 가우시안 구적법을 이용하여 간단하게 계산되어질 수 있었다. 특이점을 제외한 적분들은 2차원 가우시안 구적법으로 계산되었다.

A Computer Oriented Solution for the Fractional Boundary Value Problem with Fuzzy Parameters with Application to Singular Perturbed Problems

  • Asklany, Somia A.;Youssef, I.K.
    • International Journal of Computer Science & Network Security
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    • 제21권12호
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    • pp.223-227
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    • 2021
  • A treatment based on the algebraic operations on fuzzy numbers is used to replace the fuzzy problem into an equivalent crisp one. The finite difference technique is used to replace the continuous boundary value problem (BVP) of arbitrary order 1<α≤2, with fuzzy boundary parameters into an equivalent crisp (algebraic or differential) system. Three numerical examples with different behaviors are considered to illustrate the treatment of the singular perturbed case with different fractional orders of the BVP (α=1.8, α=1.9) as well as the classical second order (α=2). The calculated fuzzy solutions are compared with the crisp solutions of the singular perturbed BVP using triangular membership function (r-cut representation in parametric form) for different values of the singular perturbed parameter (ε=0.8, ε=0.9, ε=1.0). Results are illustrated graphically for the different values of the included parameters.

복수입력 시간지연 시스템의 유리근사화 (Rational approximation of multiple input delay systems)

  • 황이철;박경택
    • 한국정밀공학회지
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    • 제14권1호
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    • pp.194-204
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    • 1997
  • In this paper, we consider the rational approximation of multiple input delay systems. The method of computing Hankel singular values and vectors is firstly introduced, where explicitly shows the structure of the corresponding Hankel singular vectors. Secondly, rational approximants are obtained from output nor- mal relizations, which are constructed by Hankel singular values and vectors. As a result, it is shown that rational approximants by output normal realization preserve intrinsic properties of time delay systems than Pad'e approximants.

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선형행렬부등식을 이용한 시간지연 특이시스템의 보장비용 제어기 설계방법 (Guaranteed Cost Controller Design Method for Singular Systems with Time Delays using LMI)

  • 김종해
    • 전자공학회논문지SC
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    • 제40권3호
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    • pp.99-108
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    • 2003
  • 본 논문에서는 시변 시간지연을 가지는 특이시스템에 대한 보장비용 상태제환 제어기 설계방법을 제시한다. 보장비용 제어기가 존재할 충분조건과 보장비용 제어기 설계방법 및 보장비용 함수의 상한치를 구하는 최적화 문제를 선형행렬부등식, 특이치 분해(singular value decomposition), 슈어 여수(Schur complements) 정리, 변수 치환 등에 의하여 제시한다. 구한 충분조건은 선형행렬부등식의 형태로 되기 때문에 보장비용 제어기의 이득과 보장비용 함수의 상한치를 포함하는 충분조건의 모든 해를 동시에 구할 수 있다, 또한, 제안한 알고리듬을 이용하면 변수 불확실성과 시변 시간지연을 동시에 가지는 특이시스템에 대한 강인 보장비용 제어기 설계문제에도 쉽게 확장됨을 보인다. 마지막으로, 제안한 알고리듬의 타당성을 수치예제를 통하여 확인한다.