• Title/Summary/Keyword: industrial mathematics

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Observer-Based Mixed $H_2/H_{\infty}$ Control Design for Linear Systems with Time-Varying Delays: An LMI Approach

  • Karimi, Hamid Reza
    • International Journal of Control, Automation, and Systems
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    • v.6 no.1
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    • pp.1-14
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    • 2008
  • This paper presents a convex optimization method for observer-based mixed $H_2/H_{\infty}$ control design of linear systems with time-varying state, input and output delays. Delay-dependent sufficient conditions for the design of a desired observer-based control are given in terms of linear matrix inequalities (LMIs). An observer-based controller which guarantees asymptotic stability and a mixed $H_2/H_{\infty}$ performance for the closed-loop system of the linear system with time-varying delays is then developed. A Lyapunov-Krasovskii method underlies the observer-based mixed $H_2/H_{\infty}$ control design. A numerical example with simulation results illustrates the effectiveness of the methodology.

The Performance of Photocatalyst filter for an Air Cleaner - Effect of supporter (공기정화기용 광촉매 필터의 성능 - 담지체 영향)

  • Jang, Hyun-Tae;Choi, Sang-Il;Kim, Jeong-Keun
    • Proceedings of the KAIS Fall Conference
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    • 2006.11a
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    • pp.276-279
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    • 2006
  • 내부 순환형 회분식 반응기에서 UV/$TiO_2$ 시스템을 이용하여 기상의 아세톤과 알데히드류 유기화합물 분해 반응 특성을 온도와 농도 및 자외선 파장 및 광도에 대하여 고찰하였다. 또한 기존의 공기정화기에 장착할 수 있는 담체를 도출하고자 하였다. 새로운 광촉매 담지체로는 전처리 필터로 사용되는 메쉬망 형태를 사용하였으며, 광조사율이 높고 광촉매의담지량을 늘릴 수잇는 방안에 대한 연구를 수행하였다. 본 연구 결과 광접촉 면적 대비 높은 반으성을 나타내었으며 Pt, Pd 등의 첨가에 의한 반응성 상승이 나타났다. 메쉬망 형태의담지체 사용시 광조사면적 대비 담지량의증가에 의하여 온도에 의한 흡착특성에 따른 영향을 더 크게 받는 것으로 나타났다.

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Spline Surface Approximation for Computing Pit Excavation Volume with the Free Boundary Conditions

  • Yoo, Jae-Chil;Lee, Seung-Hoon;Mun, Du-Yeoul
    • Korean Journal of Geomatics
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    • v.2 no.1
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    • pp.25-29
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    • 2002
  • The calculation of earthwork plays a major role in plan or design of many civil engineering projects, and thus it has become very important to improve the accuracy of earthwork calculation. In this paper, we propose an algorithm for finding a cubic spline surface with the free boundary conditions, which interpolates the given three dimensional data, by using B-spline and an accurate method to estimate pit-excavation volume. The proposed method should be of interest to surveyors especially concerned with accuracy of volume computations. We present some computational results showing that our proposed method provides good accuracy.

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Dynamical behavior of the orthotropic elastic material using an analytical solution

  • Balubaid, Mohammed;Abdo, H.;Ghandourah, E.;Mahmoud, S.R.
    • Geomechanics and Engineering
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    • v.25 no.4
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    • pp.331-339
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    • 2021
  • In this work, an analytical solution is provided for the dynamical response of an orthotropic non-homogeneous elastic material. The present study has engineering applications in the fields of geophysical physics, structural elements, plasma physics, and the corresponding measurement techniques of magneto-elasticity. The analytical performances for the elastodynamic equations has been solved regarding displacements. The influences of the rotation, the magnetic field, the non-homogeneity based radial displacement and the corresponding stresses in an orthotropic material are investigated. The variations of the stresses, the displacement, and the perturbation magnetic field have been illustrated. The comparisons is performed using the previous solutions in the magnetic field absence, the non-homogeneity and the rotation.

Processes of Outflow of the Boiling Steam-Water Mixture in the Widening Part of Hydro-Steam Turbine Nozzles

  • Leonid, Serejkin;Boris, Shifrin;Victor, Perov;Alexandr, Goldin
    • International Journal of Computer Science & Network Security
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    • v.22 no.12
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    • pp.178-184
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    • 2022
  • Renewable energy sources based on solar radiation, wind energy, geothermal energy, and biomass energy have now reached the level of industrial application. A new way to generate electricity using low-potential heat is to install a hydro-steam turbine. In hydro-steam turbines, hot water is supplied directly to turbine rotor nozzles without prior separation into steam and water in separators, which significantly increases the efficiency of hot water energy use. Such turbines are suggested to be used as autonomous energy sources in geothermal heating systems, heating water boilers and cooling systems of chemical reactors, metallurgical furnaces, etc. The authors conclude that the installation of hydro-steam turbines in heating plants and process boiler plants can also be effective if the used exhaust steam-water mixture at the turbine outlet is used to heat the network water or as return water.

EARLY WARNING FORECASTS FOR COVID-19 IN KOREA USING BAYESIAN ESTIMATION OF THE TRANSMISSION RATE

  • Byul Nim Kim
    • East Asian mathematical journal
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    • v.39 no.5
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    • pp.493-503
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    • 2023
  • Tendency prediction of daily confirmed cases is an important issue for public health authorities. To protect the tendency, we estimate the transmission rate of stochastic SEIR model for COVID-19 in Korea using particle Markov chain Monte Carlo method. The results show that the increasing and decreasing tendency of estimated transmission rate appear one or two days in advance compared to daily incidence cases, and as time evolves the standard deviation of the estimates of transmission rate reduces. Since ten months have passed since the first incident case of COVID-19 in Korea, we expect to forecast the tendency of daily confirmed cases for the next one or two days more accurately using our method.

A.I voice phishing detection solution using NLP Algorithms (NLP 알고리즘을 활용한 A.I 보이스피싱 탐지 솔루션)

  • Tae-Kyung Kim;Eun-Ju Park;Ji-Won Park;A-Lim Han
    • Proceedings of the Korea Information Processing Society Conference
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    • 2023.11a
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    • pp.1045-1046
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    • 2023
  • 본 논문은 디지털 소외계층과 사회적 약자를 고려한 보이스피싱 예방 솔루션을 제안한다. 통화 내용을 AWS Transcribe를 활용한 STT와 NLP 알고리즘을 사용해 실시간으로 보이스피싱 위험도를 파악하고 결과를 사용자에게 전달하도록 한다. NLP 알고리즘은 KoBIGBIRD와 DeBERTa 모델 각각을 커스터마이즈하여 보이스피싱 탐지에 적절하게 파인튜닝 했다. 이후, 성능과 인퍼런스를 비교하여 더 좋은 성능을 보인 KoBIGBIRD 모델로 보이스피싱 탐지를 수행한다.

Using SBT based on the financial sector Development of smart notarization that can verify identity (금융권 기반의 SBT 를 활용한 신원 검증이 가능한 스마트 공증 개발)

  • Hyeon-ju Park;Yu-Jin Kwon;Jun-Young Park;Da-yeon Jung;Gi-ung Chae
    • Proceedings of the Korea Information Processing Society Conference
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    • 2023.11a
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    • pp.807-808
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    • 2023
  • 공증이란 "공증인에 의한 공적인 증명"의 준말로서, 법무부 지방검찰청 소속의 "공증인"이 특정한 사실 및 법률관계의 존재를 공적으로 증명하는 행위를 말한다. 공증문서 위변조 방지를 위해 NFT 에 거래방지 기능이 추가된 SBT 를 이용하여 블록체인으로 문서를 관리해 무결성과 진본성을 보장하는 스마트 공증 플랫폼을 제안한다.

Distribution of Runs and Patterns in Four State Trials

  • Jungtaek Oh
    • Kyungpook Mathematical Journal
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    • v.64 no.2
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    • pp.287-301
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    • 2024
  • From the mathematical and statistical point of view, a segment of a DNA strand can be viewed as a sequence of four-state (A, C, G, T) trials. Herein, we consider the distributions of runs and patterns related to the run lengths of multi-state sequences, especially for four states (A, B, C, D). Let X1, X2, . . . be a sequence of four state independent and identically distributed trials taking values in the set 𝒢 = {A, B, C, D}. In this study, we obtain exact formulas for the probability distribution function for the discrete distribution of runs of B's of order k. We obtain longest run statistics, shortest run statistics, and determine the distributions of waiting times and run lengths.

Study on Geomatric Level of Vocational High School Students Based on the Van Hiele Theory (Van- Hiele 이론에 의한 실업계 고등학생들의 기하 수준 고찰)

  • 정영철
    • Journal of the Korean School Mathematics Society
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    • v.1 no.1
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    • pp.175-184
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    • 1998
  • The purpose of this study is that the Van Hiele theory can be applied to even vocational high school students. Through the comparison of Van Hiele level distribution of middle school students and high school students, it is that the aims of this study is to study the geomatric level of vocational high school students and to analize them, even so it can be to find for them the effective method of Geomatric education The subject of study is three kinds of vocational high school - commercial high school, industrial high school, fisheries high school - boys (240), girls (120) in Boryeong city, Chungchong Nam Do. We referred to Kim Mi-cheong′ thesis(1994) and Cheong Yean-sok′s thesis(1992) and compared my result with them. The method and the process of the study were based on the th method of CDASSG project. And we used Van Hiele Level Test as an instrument of measurement. We got the following conclusion as the result of the study 1. The 86% of the subject of the study was applied to the theory of Van Hiele - "Any students can reach level n just through level n-1." Even so the propriety of the theory proved to be from this study again. 2. The 88% of the subject of the study is applicable to below level 2. So if the proof is introduced to them in the class, it was very difficult for them to understand it. 3. The geometric level of vocational high school students is the same as the second grade of middle school. But we think to be desirable that a basic concept puts first in importance through recomposed teaching materials, because 68% of the students is seldom changed at level 1.

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