• 제목/요약/키워드: Singular function

검색결과 260건 처리시간 0.027초

TRIPLE POSITIVE SOLUTIONS OF SECOND ORDER SINGULAR NONLINEAR THREE-POINT BOUNDARY VALUE PROBLEMS

  • Sun, Yan
    • Journal of applied mathematics & informatics
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    • 제28권3_4호
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    • pp.763-772
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    • 2010
  • This paper deals with the existence of triple positive solutions for the nonlinear second-order three-point boundary value problem z"(t)+a(t)f(t, z(t), z'(t))=0, t $\in$ (0, 1), $z(0)={\nu}z(1)\;{\geq}\;0$, $z'(\eta)=0$, where 0 < $\nu$ < 1, 0 < $\eta$ < 1 are constants. f : [0, 1] $\times$ [0, $+{\infty}$) $\times$ R $\rightarrow$ [0, $+{\infty}$) and a : (0, 1) $\rightarrow$ [0, $+{\infty}$) are continuous. First, Green's function for the associated linear boundary value problem is constructed, and then, by means of a fixed point theorem due to Avery and Peterson, sufficient conditions are obtained that guarantee the existence of triple positive solutions to the boundary value problem. The interesting point is that the nonlinear term f is involved with the first-order derivative explicitly.

Model Based Compensator를 이용한 다변수 제어 분석 (Analysis of Multi-Variable Control using Model Based Compensator)

  • 정지현;이우민;유삼현;이종원
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 추계학술대회논문집A
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    • pp.564-569
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    • 2000
  • Model Based Compensator(MBC) is recently used for the analysis of multi-variable control in frequency domain. Target loop is designed by the demanding requirements such as cross-over frequency, disturbance rejection in low frequency domain, zero steady-state error, identification of maximum and minimum singular values and sensor noise rejection in high frequency domain. Loop transfer recovery will be continued in frequency domain until the plant with MBC comes close to the target loop. In this study, the technique using MBC is applied to the elevator vibration control system. It is found that this technique is very effective to control the vibration system.

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불확실성 및 관절 유연성을 고려한 로봇의 견실제어기 설계 (Robust control design for robots with uncertainty and joint-flexibility)

  • M.C. Han
    • 한국정밀공학회지
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    • 제12권5호
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    • pp.117-125
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    • 1995
  • An improved robust control law is proposed for uncertain rigid robots. The uncertainty is nonlinear and (possibly fast) time-varying. Therefore, the uncertain factors such as imperfect modeling, friction, payload change, and external disturbances are all addressed. Based on the possible bound of the uncertainty, the controller is constructed. For uncertain flexible-joint robots, some feedback control terms are then added to the proposed robust control law in order to stabilize the elastic vibrations at the joints. To show that the proposed control laws are indeed applicable, the stability study based on Lyapunov function, a singular perturbation approach, and simulation results are presented.

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A New Support Vector Compression Method Based on Singular Value Decomposition

  • Yoon, Sang-Hun;Lyuh, Chun-Gi;Chun, Ik-Jae;Suk, Jung-Hee;Roh, Tae-Moon
    • ETRI Journal
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    • 제33권4호
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    • pp.652-655
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    • 2011
  • In this letter, we propose a new compression method for a high dimensional support vector machine (SVM). We used singular value decomposition (SVD) to compress the norm part of a radial basis function SVM. By deleting the least significant vectors that are extracted from the decomposition, we can compress each vector with minimized energy loss. We select the compressed vector dimension according to the predefined threshold which can limit the energy loss to design criteria. We verified the proposed vector compressed SVM (VCSVM) for conventional datasets. Experimental results show that VCSVM can reduce computational complexity and memory by more than 40% without reduction in accuracy when classifying a 20,958 dimension dataset.

균열선단의 특이성을 반영한 개선된 EFG 해석기법들의 비교 (A Comparison of improved EFG method with the singular expression for crack tip)

  • 이상호;윤영철
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2002년도 봄 학술발표회 논문집
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    • pp.69-76
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    • 2002
  • In this paper, several improved Element-Free Galerkin (EFG) methods containing singular expression in their approximation functions are compared one another through a patch test with near-tip field. Intrinsic enrichments that expand the basis function partially and fully with known near-tip displacement field and a local enrichment using auxiliary supports based on the partition of unity concept are examined by evaluating a relative stress norm error and the stress intensity factor. Some numerical examinations graphically show that how the size of compact support, dilation parameter and the diffraction parameter can affect the accuracy of the improved EFG methods in the error and the stress intensity factor.

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DEFECT INSPECTION IN SEMICONDUCTOR IMAGES USING HISTOGRAM FITTING AND NEURAL NETWORKS

  • JINKYU, YU;SONGHEE, HAN;CHANG-OCK, LEE
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제26권4호
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    • pp.263-279
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    • 2022
  • This paper presents an automatic inspection of defects in semiconductor images. We devise a statistical method to find defects on homogeneous background from the observation that it has a log-normal distribution. If computer aided design (CAD) data is available, we use it to construct a signed distance function (SDF) and change the pixel values so that the average of pixel values along the level curve of the SDF is zero, so that the image has a homogeneous background. In the absence of CAD data, we devise a hybrid method consisting of a model-based algorithm and two neural networks. The model-based algorithm uses the first right singular vector to determine whether the image has a linear or complex structure. For an image with a linear structure, we remove the structure using the rank 1 approximation so that it has a homogeneous background. An image with a complex structure is inspected by two neural networks. We provide results of numerical experiments for the proposed methods.

효과적인 얼굴 가상성형 모델을 위한 얼굴 변형 기법 (Face Deformation Technique for Efficient Virtual Aesthetic Surgery Models)

  • 박현;문영식
    • 전자공학회논문지CI
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    • 제42권3호
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    • pp.63-72
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    • 2005
  • 본 논문에서는 가상성형 시스템에 적합한 Radial Basis Function(RBF) 기반의 변형 기법과 변형된 얼굴 구성 요소를 얼굴 영상에 혼합하는 기법을 제시한다. 가상성형을 위한 변형 기법은 유동적인 얼굴 구성 요소들을 변형함에 있어 부드러움과 정확성을 가져야 하고 변형 부위 이외의 다른 얼굴 구성 요소에는 왜곡을 주지 않는 지역성도 가져야 한다. 이를 위해 제안된 가상성형 시스템은 자유형태 변형 모델을 기반으로 RBF에 의해 격자들의 변형 정도를 계산한다. 성형의 정확성을 위해 변형 오차는 기준곡선 정점들의 목표 위치와 실제 변형된 위치 사이의 오차제곱합을 이용하여 Singular Value Decomposition(SVD)에 의해 반복적으로 RBF 매핑 함수의 계수들을 계산하여 보정한다. 변형된 얼굴 구성 요소는 Euclidean Distance Transform(EDT)에 의해 계산된 혼합 비율을 사용하여 원본 얼굴 영상과 합성된다. 제안된 변형 기법과 합성 기법은 가상성형 결과의 정확도와 왜곡 측면에서 우수한 성능을 보인다는 것을 실험적으로 확인하였다.

전달함수합성법을 이용한 스티어링 시스템의 부분구조 해석 (Substructure Analysis of Steering System using Transfer Function Synthesis Method)

  • 홍성규;김도연;이두호;김찬묵
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2000년도 추계학술대회논문집
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    • pp.201-206
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    • 2000
  • In this work transfer function synthesis method based on FRF data of each substructure is investigated for a complex structure composed of many substructures. Though the transfer function synthesis method has superiority to analyze the characteristics of interfaces among substructures effectively, many problems arise in the computation process, especially matrix inversion process. Due to computational problems, the error between the data obtained by test and the predictions through computations is inevitable. So in this paper, computational aspects in the transfer function synthesis method are examined through a steering system problem of passenger car. For the FBS method, frequency response functions of 3 substructures are measured experimentally. Effects of several parameters such as matrix inversion method, connection conditions between substructures and off-diagonal terms on system response are studied numerically.

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충격응답함수와 조정법을 이용한 항공기 날개의 충격하중 복원 연구 (A Study on Reconstructing Impact Forces of an Aircraft Wing Using Impact Response Functions and Regularization Methods)

  • 박찬익
    • 한국항공우주학회지
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    • 제34권8호
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    • pp.41-46
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    • 2006
  • 충격응답함수와 조정법(regularization methods)을 이용하여 항공기 날개의 충격하중 복원 가능성을 검토하였다. 충격하중에 대한 구조의 응답을 내타낼 수 있는 충격응답함수를 날개 유한요소모델의 강성과 질량 자료로 유도하였다. 일반적으로 부적합(ill-posed) 특성을 지닌 충격응답함수의 역행렬은 반복 Tikhonov 조종법(Iterative Tikhonov Regularization Method)과 일반화 특이치 분해법(Generalized Singular Value Decomposition Method)을 사용하여 구하였다. 수치적 입증을 위하여 전투기급 주익을 사용하였다. 해당 주익의 유한요소해석을 통하여 임의의 충격하중에 대한 변위와 변형률을 계산하였으며, 이를 충격응답함수로 계산한 결과와 비교하였다. 또한, 유한요소해석에서 계산된 변형률을 사용하여 충격하중을 복원하였다. 수치적 입증 결과 항공기 구조의 충격하중 모니터링이 본 방법으로 가능할 수 있음을 보여주었다.

필립 스탁의 가구디자인 특성에 관한 연구 (A Study on the characteristics of Philippe Starck's furniture design)

  • 박소라
    • 한국실내디자인학회논문집
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    • 제17권1호
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    • pp.162-169
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    • 2008
  • Philippe Starck is a famous french designer known for his creative works in all aspects of life from architectural space to product design. Especially, in regard to furniture, he designed more than 250 works with various design characteristics. This study therefore aims to examinate the characteristics of furniture designed by Philippe Starck through assessment of his design background and philosophy, evaluation of fifty or so of his works in terms of their function, form, material, and emotions, and lastly through a chronological analysis. As a result from this study, following various results are drawn as design characteristic through forty six representative cases: 1) possibility of fabrication and transformation 2) multi-function or optional function for user 3) pursuit of simplicity using the characteristic of singular material or mono block and immateriality 4) emotional approach in design 5) non-design method such as use of archetype or historical form.