• 대한수학회지
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• 제44권3호
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• pp.585-603
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• 2007

The author studies the local $H\ddot{o}lder$ convergence of the solution to an evolution equation of p-Ginzburg-Landau type, to the heat flow of the p-harmonic map, when the parameter tends to zero. The convergence is derived by establishing a uniform gradient estimation for the solution of the regularized equation.

• Communications for Statistical Applications and Methods
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• 제20권6호
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• pp.475-480
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• 2013

The surplus process in a risk model is stochastically analyzed. We obtain the characteristic function of the level of the surplus at a finite time, by establishing and solving an integro-differential equation for the distribution function of the surplus. The characteristic function of the stationary distribution of the surplus is also obtained by assuming that an investment of the surplus is made to other business when the surplus reaches a sufficient level. As a consequence, we obtain the first and second moments of the surplus both at a finite time and in an infinite horizon (in the long-run).

• 대한전기학회:학술대회논문집
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• 대한전기학회 2003년도 춘계학술대회 논문집 전기기기 및 에너지변환시스템부문
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• pp.186-189
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• 2003

This paper presents an optimal tuning method of the decentralized PI controller of two-input, two-output(TITO) second order system to be formulated as LQR. The tuning method of proposed decentralized PI controller is developed by establishing the relationships between the closed-loop state equation including decentralized PI control factors and the closed-loop state equation of LQR, which can be guaranteed the performance and stability-robustness by selecting the weighting factors Q and R of the cost function in order to satisfy design specifications in frequency domain.

• 한국전산구조공학회논문집
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• 제15권1호
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• pp.105-116
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• 2002

이 논문에서는 철근콘크리트 장주의 극한저항력을 효과적으로 산정할 수 있는 설계 관계식이 제안되었다. 철근콘크리트 기둥의 거동은 여러 설계변수들의 영향을 받는데 특히 콘크리트의 강도, 철근비, 세장비 및 편심 등에 의해 크게 영향을 받으므로 설계식의 제안을 위해 위의 4가지 변수들을 변화시켜가며 철근콘크리트 기둥의 비선형 해석을 수행하였다. 콘크리트의 균열 등을 포함한 재료의 비선형성을 고려하기 위해 적층단면법이 사용되었으며, p-△ 효과를 구현하기 위하여 기하강성행렬이 고려되었다. 해석결과로부터 각 변수의 변화에 따른 철근콘크리트 기둥의 저항력의 변화를 비교하였으며 이를 토대로 회귀분석 모델을 제안하였다. 또한 회귀분석을 수행하여 철근콘크리트 장주의 극한저항력을 효과적으로 산정할 수 있는 회귀분석식을 제안하였고, 기존의 설계기준과 비교하여 제안식의 효율성을 검증하였다.

• Steel and Composite Structures
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• 제21권5호
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• pp.963-980
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• 2016

The jib system with middle strut is widely used to achieve the large arm length in the large scale tower crane and the deployability in the mobile construction crane. In this paper, an analytical solution for the out-of-plane buckling of the jib system with middle strut is proposed. To obtain the analytical expression of the buckling characteristic equation, the method of differential equation was adopted by establishing the bending and torsional differential equation of the jib system under the instability critical state. Compared with the numerical solutions of the finite element software ANSYS, the analytical results in this work agree well with them. Therefore, the correctness of the results in this work can be confirmed. Then the influences of the lateral stiffness of the cable fixed joint, the dip angle of the strut, the inertia moment of the strut, and the horizontal position of the cable fixed joint on the out-of-plane buckling behavior of the jib system were investigated.

• 한국수자원학회:학술대회논문집
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• 한국수자원학회 2022년도 학술발표회
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• pp.151-151
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• 2022

The impact of raindrops on the soil surface causes soil detachment, which may be estimated by measuring the kinetic energy (KE) of the raindrops. Since direct measurements of rainfall force on ground surfaces are not generally available, empirical equations are an alternative option to estimate KE from rainfall intensity (I), which has the greatest influence over soil erosion and is easily accessible. Establishing the optimal formulation for the relationship between kinetic energy and rainfall intensity has proven to be difficult. Thus, this research considered thirty-seven rainfall events observed from June 2020 to December 2021 using a laster optical disdrometer erected in Kyungpook National University to examine the characteristics of KE-I relationships. We concentrated our discussion on the formation of two different expressions of the KE, including KE expenditure (KE_exp) and KE content (KE_con). The following conclusions were drawn: (1) We employed statistical analysis to demonstrate that the KE_exp is more suitable expression for establishing an empirical rule between KE and I than the KE_con. (2) A power-law model was used to find the best correlation between KE_exp-I relationship, whereas the best match between KE_con and I were found using an exponential equation.

• 전자공학회논문지SC
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• 제41권5호
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• pp.37-42
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• 2004

다변수 제어시스템의 최적 PI동조에 관한 연구는 난해하기 때문에 일반적인 방법으로 접근하기 힘들다. 본 논문에서는 다변수 시스템을 2-입력, 2-출력의 2차시스템을 고려하여 PI제어요소가 포함된 폐루프 상태방정식과 LQR의 폐루프 상태방정식의 관계를 유도하는 루프형성절차를 통해 주파수 영역 설계사양과 만족할 수 있도록 가격함수의 가중치 요소 Q와 R을 선정함으로써 성능 및 안정도-강인성이 보장되는 분산된 최적 강인 PI제어기 설계방법을 제안하고자 한다.

• Communications for Statistical Applications and Methods
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• 제23권5호
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• pp.423-432
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• 2016

In this paper, we stochastically analyze the continuous time surplus process in a risk model which involves a continuous type investment. It is assumed that the investment of the surplus to other business is continuously made at a constant rate, while the surplus process stays over a given sufficient level. We obtain the stationary distribution of the surplus level and/or its moment generating function by forming martingales from the surplus process and applying the optional sampling theorem to the martingales and/or by establishing and solving an integro-differential equation for the distribution function of the surplus level.

• Nonlinear Functional Analysis and Applications
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• 제26권2호
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• pp.303-322
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• 2021

The concepts of new classes of mappings are introduced in the spaces which are more general space than the usual metric spaces. The existence and uniqueness of common fixed points and fixed point results are established in the setting of complete complex valued b-metric spaces. An illustration is given by establishing the existence of solution of periodic differential equations in the framework of a complete complex valued b-metric spaces.

• 응용통계연구
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• 제25권1호
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• pp.81-87
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• 2012

재충전이 있는 연속시간 리스크 모형이 고려된다. 프레미엄은 일정한 율로 들어오고, 보험금 청구는 복합 포아송 과정을 따라 이루어진다. 초기 잉여금 u > 0로 시작하여 잉여금은 프레미엄에 의해 증가하고 보험금 청구에 의해 감소한다. 잉여금의 수준이 ${\tau}$(0 < ${\tau}$ < u)아래로 떨어지면 초기 잉여금 수준까지 재충전이 이루어진다고 가정한다. 재충전이 고려된 리스크 모형에서 잉여금이 없어지는 파산확률을 적미분 방정식을 통해 유도하고, 보험 청구액이 독립적으로 지수분포를 따르는 경우는 파산확률의 명확한 공식이 유도됨을 보인다.