• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.19 no.2
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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.

• Proceedings of the KIEE Conference
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• 2003.11b
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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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• v.24 no.2
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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.

• Applied Chemistry for Engineering
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• v.1 no.2
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• pp.147-153
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• 1990

Poly(hydroxypropyl methacrylate) membranes and matrix devices having tertiary amine moiety were prepared by sintering method, and their permeation characteristics were investigated. The water content of this membrane was increased with decreasing the pH of the medium. The permeability of this membrane was increased with decreasing the sintering pressure. Using sintered matrix device 'burst effect' was found at the early stage, and initial insulin release of glucose oxidase immobilized matrix device could be controlled by glucose concentration of the solution.

• Proceedings of the Korean Society for Technology of Plasticity Conference
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• 2005.05a
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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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• v.13 no.2
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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.

• Journal of the Korean Society for Railway
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• v.2 no.1
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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.

• Journal of Institute of Control, Robotics and Systems
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• v.7 no.3
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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.

• Journal of the Korean Institute of Intelligent Systems
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• v.15 no.3
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• pp.324-329
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• 2005

In this paper, a robust $H\infty$ stabilization problem to a uncertain discrete-time nonlinear systems with time-delay via fuzzy static output feedback is investigated. The Takagj-Sugeno (T-S) fuzzy model is employed to represent an uncertain nonlinear system with time-delayed state. Then, the parallel distributed compensation technique is used for designing of the robust fuzzy controller. Using a single Lyapunov function, the globally asymptotic stability and disturbance attenuation of the closed-loop fuzzy control system are discussed. Sufficient conditions for the existence of robust $H\infty$ controllers are given in terms of linear matrix inequalities via similarity transform and congruence transform technique. We have shown the effectiveness and feasibility of the proposed method through the simulation.

• 한국정보디스플레이학회:학술대회논문집
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• 2004.08a
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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.