• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제19권2호
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• pp.171-188
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• 2015

In this paper, the efficient column-wise/row-wise lattice reduction (LR) updating and downdating methods are developed and their complexities are analyzed. The well-known LLL algorithm, developed by Lenstra, Lenstra, and Lov${\acute{a}}$sz, is considered as a LR method. When the column or the row is appended/deleted in the given lattice basis matrix H, the proposed updating and downdating methods modify the preconditioning matrix that is primarily computed for the LR with H and provide the initial parameters to reduce the updated lattice basis matrix efficiently. Since the modified preconditioning matrix keeps the information of the original reduced lattice bases, the redundant computational complexities can be eliminated when reducing the lattice by using the proposed methods. In addition, the rounding error analysis of the proposed methods is studied. The numerical results demonstrate that the proposed methods drastically reduce the computational load without any performance loss in terms of the condition number of the reduced lattice basis matrix.

• 대한전기학회:학술대회논문집
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• 대한전기학회 2003년도 학술회의 논문집 정보 및 제어부문 A
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• pp.135-138
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• 2003

In this paper, we provide a reliable few controller design method for descriptor systems satisfying asymptotic stability with $H_\infty$ norm bound and all actuator failures occurred within the pre-specified subset. The proper condition for the existence of a reliable $H_\infty$ controller and the controller design method are proposed by linear matrix inequality(LMI), Schur complements, and singular value decomposition. All solutions can be obtained simultaneously because the presented sufficient condition can be expressed as an LMI form.

• Journal of the Korean Statistical Society
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• 제24권2호
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• pp.407-417
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• 1995

The h-plot is a graphical technique for displaying the structure of one population's variance-covariance matrix. This follows the mathematical algorithem of the principle component biplot based on the singular value decomposition. But it is known that the singular value decomposition is not resistant, i.e., it is very sensitive to small changes in the input data. In this article, since the mathematical algorithm of the h-plot is equivalent to that of principal component biplot of Choi and Huh (1994), we derive the resistant h-plot.

• 공업화학
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• 제1권2호
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• pp.147-153
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• 1990

소결공정에 의하여 tertiary amine을 함유하는 hydroxypropyl methacrylate 고분자막을 제조하였다. 이 막의 함수율은 수용액의 pH가 감소함에 따라 증가하였다. 인슐린의 투과도 역시 수용액의 pH가 감소함에 따라 증가하였다. 이 막의 투과도는 소결 압력이 증가함에 따라 감소하였다. 이 막에 당산화효소를 고정화시킨 acryl amide 막을 부착하여 복합 matrix device를 제조하였다. 이 막의 인슐린 투과도는 glucose의 농도가 증가함에 따라 증가하였다.

• 한국소성가공학회:학술대회논문집
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• 한국소성가공학회 2005년도 춘계학술대회 논문집
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• pp.167-170
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• 2005

This paper briefly reviews various existing methods to account for the effect of particle size on mechanical properties of particulate metal matrix composites. A simple and easy method is to use a size-dependent constitutive equation for the matrix. The suggested method does not require the development of a new computational algorithm and is compatible with any standard finite element software. Finite element analyses have been carried out to show how the deformation behavior of a metal matrix composite changes as the particle size and volume fraction are varied.

• Journal of Pharmaceutical Investigation
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• 제13권2호
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• pp.73-87
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• 1983

The matrix affects the dissolution of furosemide, which is almost insoluble in the dissolution medium. In order to understand the effect of the matrix on the dissolution of furosemide, lactose, starch, $Avicel\;^{\circledR}pH\;101$, $Avicel\;^{\circledR}pH\;301$, $SiO_2$ and talc were used as the matrix and the solvent deposition method were used. The dissolution characteristics of four dissolution medium were compared to each other using various ratio of drug-to-matrix. The results are as follows: 1) Lactose was shown to be superior and talc was to be inferior to the other matrixes investigated. 2) A maximum dissolution rate and dissolution amount of furosemide were observed in 1 : 10 ratio of the drug-to-matrix. 3) $T_{80%}$ of 1 : 10 ratio of the drug-to-matrix in pH 7.2 was 1 min. from FM-lactose and 30 min. from FM-talc. $T_{50%}$ in pH 4.2 is 2 min. from furosemide-lactose and 150 min. from furosemide-talc. Total amount of furosemide in pH 1.2 at 30 min. were enhanced 13.3 fold in furosemide-lactose and 3.5 fold in furosemide-talc compared to the control. Diuretic action of those furosemide-lactose and furosemide-talc was also evaluated by monitoring changes in urinary excretion of sodium, potassium and urine volume in rat. The accumulated urine volume were enhanced 1.7 fold in furosemide-lactose (1.5) compared to the furosemide.

• 한국철도학회논문집
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• 제2권1호
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• pp.47-55
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• 1999

In this paper, an efficient and accurate formulation for the transient analysis of constrained multibody systems is presented. The formulation employs Kane's method along with the null space method. Kane's method reduces the dimension of equations of motion by using partial velocity matrix: it can improve the efficiency of the formulation. Furthermore, the formulation partitions the coefficient matrix of linear and nonlinear equations into several sub-matrices using kinematic uncoupling. This can solve the equations more efficiently. The proposed formulation can be used to perform dynamic analysis of systems which can be partitioned into several sub-systems such as train systems. One numerical example is given to demonstrate the efficiency and accuracy of the formulation, and another numerical example is given to show its application to the train systems.

• 제어로봇시스템학회논문지
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• 제7권3호
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• pp.183-192
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• 2001

In this paper, the decoupling H(sub)$\infty$ controller which minimizes the maximum energy in the output signal is designed to reduce the coupling properties between the input/output variables which make it difficult to control a system efficiently. The state-space formulas corresponding to the existing transfer matrix formulas of the controller are derived for computational efficiency. And for a given decoupling $H_{\infty}$ problem, an efficient method are sought to find the controller coefficients through the LMI(Linear Matrix Inequalities) method by which the problem is formulated into a convex optimization problem.

• 한국지능시스템학회논문지
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• 제15권3호
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• pp.324-329
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• 2005

본 논문에서는 시간 지연을 갖는 이산 시간 비선형 시스템을 $H\infty$ 의미에서 안정하게 하는 정적 출력 제한 퍼지 제어기 설계를 제시한다. 먼저 대상이 되는 비선형 시스템은 Takagi-Sugeno 퍼지 모델로 표현 되어진다. 그리고 parallel distributed compensation technique을 이용하여 퍼지 제어기의 형태를 만든다. 하나의 Lyapunov 함수를 정하여서 폐루프 시스템의 전역 점근적 안정성과 외란에 대한 강인성을 bilinear matrix inequality 형태로 제시한다. 그리고 합동변환법과 동질성 변환법을 통해 이것을 선형 행렬 부등식 (linear matrix inequality) 으로 표현한다. 제안된 방법의 효율성과 가능성을 보여주기 위해 한 예제를 포함한다.

• 한국정보디스플레이학회:학술대회논문집
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• 한국정보디스플레이학회 2004년도 Asia Display / IMID 04
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• pp.141-144
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• 2004

A QVGA active-matrix backplane is produced on a 25${\mu}m$ thin plastic substrate. A 4-mask photolithographic process is used. The insulator layer and the semiconductor layer are organic material processed from solution. This backplane is combined with the electrophoretic display effect supplied by SiPix and E ink, resulting in an electronic paper display with a thickness of only 100${\mu}m$. This is world's thinnest active-matrix display ever made.