• 융합신호처리학회논문지
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• 제8권3호
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• pp.217-221
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• 2007

본 논문에서는 비선형시스템의 제어대상의 하나로 사용되고 있는 Chua회로를 대상으로 견실 출력귀환제어를 실현한다. 특히 비선형인 경우는 선형의 경우와 틀린 접근방법을 사용하여야 한다. 우선 기준신호발생기인 exosystem을 정의하고 출력추종오차식으로부터 오차방정식을 유도하고, 적분기 형태의 서보보상기를 사용하여 수정된 슬라이딩면을 설계한다. 수정된 슬라이딩면과 서보보상기에 사용되는 파라미터들은 슬라이딩면 및 서보보상기가 안정하도록 관련다항식이 Hurwitz조건을 만족하도록 정한다. 특히 모든 파라미터들이 미지여서, 오차신호들이 귀환으로부터 얻을 수 없기 때문에, 고이득 관측기를 설계하고, 이 추정값을 사용하여 안정화제어기를 얻는다. 시뮬레이션결과를 제시함으로서 알고리즘이 유용함을 증명한다.

• Korean Journal of Mathematics
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• 제21권3호
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• pp.293-304
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• 2013

In this paper we analyze an error estimator for the lowest-order triangular Raviart-Thomas mixed finite element which is based on solution of local problems for the error. This estimator was proposed in [Alonso, Error estimators for a mixed method, Numer. Math. 74 (1996), 385{395] and has a similar concept to that of Bank and Weiser. We show that it is asymptotically exact for the Poisson equation if the underlying triangulations are uniform and the exact solution is regular enough.

• 한국공간구조학회논문집
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• 제17권3호
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• pp.75-82
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• 2017

The Kingery-Bulmash equation is the most common equation to calculate blast load. However, the Kingery-Bulmash equation is complicated. In this paper, a modified equation for surface blast load is proposed. The equation is based on Kingery-Bulmash equation. The proposed equation requires a brief calculation process, and the number of coefficients is reduced under 5. As a result, each parameter obtained by using the modified equation has less than 1% of error range comparing with the result by using Kingery-Bulmash equation. The modified equation may replace the original equation with brief process to calculate.

• 한국멀티미디어학회논문지
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• 제7권5호
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• pp.713-720
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• 2004

본 논문에서는 접속노드와 무선채널로 구성되는 ATM(Asynchronous Transfer Mode)기반의 무선 ATM 가입자망에서 VBR(Variable Bit Rate) 트래픽의 CLR(Cell Loss Ratio) 성능을 개선하기 위한 기법을 제안하였다. 이를 위해 우선 무선 ATM 가입자망의 트래픽 모델을 cell scale과 burst scale로 구분하여 분석한 후, 무선접속노드에서 VBR 트래픽의 CLR과 무선채널에서 랜덤에러 및 버스트 에러환경의 CLR 관계식을 분석하였다. 그리고 접속노드와 무선채널의 CLR이 서로 독립적인 관계임을 고려하여 무선 ATM가입자망의 CLR 관계식을 유도하였다. 또한 무선 ATM 가입자망의 CLR을 바탕으로 기존의 SR(Selective Repeat) ARQ(Automatic Repeat request) 보다 Type I Hybrid ARQ기법을 적용한 경우에 CLR이 개선됨을 알 수 있었으며 개선정도를 정량적으로 산출하였다.

• Bulletin of the Korean Chemical Society
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• 제34권12호
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• pp.3709-3714
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• 2013

Based on the Debye-H$\ddot{u}$ckel equation, a semi-empirical equation for activity coefficients was derived through empirical and theoretical trial and error efforts. The obtained equation included two parameters: the proportional factor and the effective radius of an ionic sphere. These parameters were used in the empirical and regression parameter fitting of the calculated values to the experimental results. The activity coefficients calculated from the equation agreed with the data. Transforming to a semi-empirical form, the equation was expressed with one parameter, the ion radius. The ion radius, ${\alpha}$, was divided into three parameters, ${\alpha}_{cation}$, ${\alpha}_{anion}$ and ${\delta}_{cation}$, representing parameters for the cation, anion and combination, respectively. The advantage of this equation is the ability to propose a semi-empirical equation that can easily determine the activity coefficient with just one parameter, so the equation is expected to be used more widely in actual industry applications.

• Journal of applied mathematics & informatics
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• 제15권1_2호
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• pp.29-51
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• 2004

In this paper, we propose a new mixed finite element method, called the characteristics-mixed method, for approximating the solution to Burgers' equation. This method is based upon a space-time variational form of Burgers' equation. The hyperbolic part of the equation is approximated along the characteristics in time and the diffusion part is approximated by a mixed finite element method of lowest order. The scheme is locally conservative since fluid is transported along the approximate characteristics on the discrete level and the test function can be piecewise constant. Our analysis show the new method approximate the scalar unknown and the vector flux optimally and simultaneously. We also show this scheme has much smaller time-truncation errors than those of standard methods. Numerical example is presented to show that the new scheme is easily implemented, shocks and boundary layers are handled with almost no oscillations. One of the contributions of the paper is to show how the optimal error estimates in $L^2(\Omega)$ are obtained which are much more difficult than in the standard finite element methods. These results seem to be new in the literature of finite element methods.

• 한국안전학회지
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• 제24권2호
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• pp.76-82
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• 2009

The NIOSH lifting equation has been used as a dominant tool in evaluating the hazard levels of lifting tasks. Although it provides two different ways for each simple and complex lifting task, the NIOSH simple lifting equation is almost used for not only simple tasks but also complex tasks. However, most of lifting tasks in industries are in the form of complex lifting. Therefore some errors occur inevitably in the evaluation of complex lifting tasks. Among complex lifting tasks, a multi-stacking task is the most popular in lifting tasks. To compensate the error in the evaluation of multi-stacking tasks by using the NIOSH simple lifting equation, a set of calculations for finding LIs(Lifting Indices) was performed for the systematically varying multi-stacking tasks. Then a regression model which finds the equivalent height in simple lifting task for multi-stacking task was established. By using this model, multi-stacking tasks can be evaluated with less error. To validate this model, some real multi-stacking tasks were evaluated as examples.

• Journal of applied mathematics & informatics
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• 제6권1호
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• pp.163-174
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• 1999

The purpose of this paper is to obtain the solution of Fredholm-Volterra integral equation with singular kernel in the space $L_2(-1, 1)\times C(0,T), 0 \leq t \leq T< \infty$, under certain conditions,. The numerical method is used to solve the Fredholm integral equation of the second kind with weak singular kernel using the Toeplitz matrices. Also the error estimate is computed and some numerical examples are computed using the MathCad package.

• Journal of applied mathematics & informatics
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• 제12권1_2호
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• pp.165-182
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• 2003

Toeplitz matrix method and the product Nystrom method are described for mixed Fredholm-Volterra singular integral equation of the second kind with Carleman Kernel and logarithmic kernel. The results are compared with the exact solution of the integral equation. The error of each method is calculated.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제7권2호
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• pp.65-73
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• 2003

In this work, we use a numerical method to solve the nonlinear integral equation of the second kind when the kernel of the integral equation in the logarithmic function form or in Carleman function form. The solution has a computing time requirement of $0(N^2)$, where (2N +1) is the number of discretization points used. Also, the error estimate is computed.