• Title/Summary/Keyword: Functional matrix

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Stability of time-delayed Linear Systems Based on Augmented LKF Including Time-delay Product Quadratic Terms (시간지연 곱 이차항을 포함하는 LKF에 기초한 시간지연 선형 시스템의 안정성)

  • Kim, Jin-Hoon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.67 no.5
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    • pp.651-655
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    • 2018
  • In this paper, based on an augmented Lyapunov-Krasovskii functional(LKF) with time-delay product quadratic terms, the stability result in the form of linear matrix inequality(LMI) is proposed. In getting an LMI result, the free matrix based integral inequality is used. Finally, two well-known numerical examples are given to demonstrate the usefulness of the proposed result.

ON AUGMENTED LAGRANGIAN METHODS OF MULTIPLIERS AND ALTERNATING DIRECTION METHODS OF MULTIPLIERS FOR MATRIX OPTIMIZATION PROBLEMS

  • Gue Myung, Lee;Jae Hyoung, Lee
    • Nonlinear Functional Analysis and Applications
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    • v.27 no.4
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    • pp.869-879
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    • 2022
  • In this paper, we consider matrix optimization problems. We investigate augmented Lagrangian methods of multipliers and alternating direction methods of multipliers for the problems. Following the proofs of Eckstein [3], and Eckstein and Yao [5], we prove convergence theorems for augmented Lagrangian methods of multipliers and alternating direction methods of multipliers for the problems.

BOUNDEDNESS IN FUNCTIONAL DIFFERENTIAL SYSTEMS VIA t-SIMILARITY

  • Goo, Yoon Hoe
    • Journal of the Chungcheong Mathematical Society
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    • v.29 no.2
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    • pp.347-359
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    • 2016
  • In this paper, we show that the solutions to perturbed functional differential system $$y^{\prime}=f(t,y)+{\int_{t_0}^{t}}g(s,y(s),Ty(s))ds$$, have a bounded properties. To show the bounded properties, we impose conditions on the perturbed part ${\int_{t_0}^{t}}g(s,y(s),Ty(s))ds$ and on the fundamental matrix of the unperturbed system y' = f(t, y) using the notion of $t_{\infty}$-similarity.

A Matrix-Based Genetic Algorithm for Structure Learning of Bayesian Networks

  • Ko, Song;Kim, Dae-Won;Kang, Bo-Yeong
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.11 no.3
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    • pp.135-142
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    • 2011
  • Unlike using the sequence-based representation for a chromosome in previous genetic algorithms for Bayesian structure learning, we proposed a matrix representation-based genetic algorithm. Since a good chromosome representation helps us to develop efficient genetic operators that maintain a functional link between parents and their offspring, we represent a chromosome as a matrix that is a general and intuitive data structure for a directed acyclic graph(DAG), Bayesian network structure. This matrix-based genetic algorithm enables us to develop genetic operators more efficient for structuring Bayesian network: a probability matrix and a transpose-based mutation operator to inherit a structure with the correct edge direction and enhance the diversity of the offspring. To show the outstanding performance of the proposed method, we analyzed the performance between two well-known genetic algorithms and the proposed method using two Bayesian network scoring measures.

Tribological Property of Surface Modified Carbon Nanotube Reinforced Polymer Matrix Composites (표면 개질화된 탄소나노튜브 강화 고분자 복합재료의 마모 특성)

  • Park, Joo-Hyuk;Abu Bakar, Sulong
    • Tribology and Lubricants
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    • v.21 no.6
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    • pp.302-305
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    • 2005
  • Various carbon nanotubes (CNTs) are added into the epoxy matrix as reinforcements to investigate the effect on the wear behavior. Effects to the tribological properties of different loading concentrations and types of surface modification are investigated by using a linear reciprocal wear tester. As increasing the concentration of CNTs shows the reduction of the wear loss. Moreover, surface modified CNTs give better tribological property than as produced CNTs. It is due that the functional groups on the surface of CNTs increase the interfacial bonding between CNTs and epoxy matrix through chemical bonding. Changes in worn surface morphology are observed by optical microscope and SEM to investigate the wear behavior. CNTs in the epoxy matrix near the surface are exposed and it becomes the lubricating working film on the worn surface. It reduces the friction and results in the lower surface roughness morphology in the epoxy matrix as increasing the contents of the CNTs.

Effects of the Interaction between Intercalant and Matrix Polymer in Preparation of Clay-dispersed Nanocomposite

  • Ko, Moon-Bae;Kim, Jyunkyung;Choe, Chul-Rim
    • Macromolecular Research
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    • v.8 no.3
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    • pp.120-124
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    • 2000
  • Clay-dispersed nanocomposites have been prepared by simple melt-mixing of two components, styrenic polymers with different content of functional groups and two different organophilic clays (Cloisite(R) 25A and Cloisite(R)30A) with a twin screw extruder. Dispersibility of 10-$\AA$-thick silicate layers of clay in the hybrid was investigated by using an X-ray diffraction method and a transmission electron microscope. It was found that if the interaction force between intercalant and matrix polymer is attractive, the matrix polymer intercalates more rapidly into the gallery of silicate layers. The faster intercalation of matrix polymer leads to the better dispersibility of silicate layers in the matrix polymer.

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Changes of Functional Components Present in Lipid Foods during Cooking (유지식품의 조리 중 기능성분의 변화)

  • Choe, Eun-Ok
    • Korean journal of food and cookery science
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    • v.21 no.5
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    • pp.742-758
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    • 2005
  • Lipid-based functional components present in foods undergo chemical changes during cooking. Useful n-3 and n-6 fatty acids, phytosterols, tocopherols, and carotenoids are degraded by thermal cooking such as frying, resulting in loss of their physiological functions. However, conjugated linoleic acid and diacylglycerols can be formed during heating, which would be beneficial to the health. Degree of degradation and formation of the functional components depends on the cooking method, cooking temperature and time, lipid matrix containing the components, and the presence of other materials. Although it is clear that the content of each functional component varies during long-heating in a model system consisting of small numbers of components, the real foods cooked in a small scale for a limited cooking time do not show highly significant differences in the functional components contents from raw food materials.

Improvement of Total Chrolophill Analytical Methods for the Chlorella Products with Extended Products Types (신 제형 클로렐라제품의 총 엽록소 시혐법 개선)

  • Kim, Yoo-Kyung;Lee, Eun-Suk;Han, Jae-Gab;No, Gi-Me;Lim, Dong-Gil;Jung, Ja-Young;Park, Young-Sig
    • Journal of Food Hygiene and Safety
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    • v.26 no.1
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    • pp.70-75
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    • 2011
  • A new and improved analytical method involving alkaline pyridine extraction was proposed to quantity chlorophyll contents in syrup and candy type chlorella products. The performance of analytical method was compared with the conventional Korea food standard method which involves acetone extraction. The application of sonication chlorophyll extraction form alkaline pyridine sample was also explored. The analytical procedure was validated by evaluating accuracy, precision and reproducibility. For liquid samples, the pyridine extraction method showed higher accuracy and precision compared to acetone extraction method. The CV values of pyridine extract method and the acetone extraction method were 18.82 and 40.0, and the accuracy to theoretical values were 106.3% and 78.1%, respectively. When sonication extraction method was applied to the pyridine extraction, the precision was improved as indicated by reduced CV values from 18.82 to 11.36. The improved performance of pyridine-sonication extraction was also validated by recovery test of chlorophyll that was previously spiked into the sample matrix. For solid matrix, the pyridine extraction method showed better performance in analysis of chlorophyll in solid food matrix (CV = 7.05) compared to conventional acetone extraction method (CV = 30.0). However, the accuracy to theoretical values of pyridine and acetone extraction methods only showed only 62.7% an 40%, respectively. The relatively low accuracy of pyridine extraction method (62.7%) was improved to 99.4% by applying additional sonication extraction method. The improved performance of applying additional sonication extraction was validated by standard deviation, CV values and accuracy to theoretical values.

Formulation and Evaluation of Transdermal Patch Containing Sibutramine

  • Subedi, Robhash Kusam;Jang, Jun-Ho;Kim, Jae-Il;Park, Young-Joon;Choi, Hoo-Kyun
    • Journal of Pharmaceutical Investigation
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    • v.40 no.1
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    • pp.33-38
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    • 2010
  • Sibutramine is a serotonin-norepinephrine reuptake inhibitor indicated for the management of obesity in conjunction with a reduced calorie diet. The oral administration of sibutramine is followed by its dose-related side effects. In this study, sibutramine was formulated into drug in adhesive (DIA) patches in an attempt to overcome these problems. The effects of different formulation variables including pressure-sensitive adhesive (PSA), loading amount of drug, thickness of matrix and enhancer on the skin permeation of the drug were evaluated using excised hairless mouse skin. In the acrylic adhesive with carboxyl functional group, low release of sibutramine was observed due to the strong interaction between carboxyl group of adhesive and amine group of sibutramine. The acrylic adhesive without functional group provided good adhesion force and allowed high drug loading. Changing drug load as well as thickness of the matrix was found to alter permeation rate. $Crovol^{(R)}$ PK40 and $Crovol^{(R)}$ A40, were found to be effective enhancers for sibutramine. The optimized patch contained 20% sibutramine, and 5% $Crovol^{(R)}$ A40 as permeation enhancer, in $80\;{\mu}m$ thick Duro-$Tak^{(R)}$ 87-9301 matrix.