• 충청수학회지
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• 제24권2호
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• pp.205-212
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• 2011

The aim of this paper is to obtain twenty five Eulerian type single integrals in the form of a general single integral involving $Kamp\acute{e}$ de $F\acute{e}riet$ function. The results are derived with the help of the generalized classical Watson's theorem obtained earlier by Lavoie, Grondin and Rathie. A few interesting special cases of our main result are also given.

• 대한전기학회논문지:시스템및제어부문D
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• 제52권3호
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• pp.142-147
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• 2003

We consider a single-input-single-output nonlinear system which can be represented in a normal form. The nonlinear system has a modeling uncertainties including the input coefficient uncertainty. A high-gain observer is used to estimate the states variables to reject a modeling uncertainty. A globally bounded output feedback integral sliding mode control is proposed to stabilize the closed loop system. The proposed integral sliding mode control can asymptotically stabilize the closed loop system in the presence of input coefficient uncertainty.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제8권1호
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• pp.71-78
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• 2001

In 1984, Johnson[A bounded convergence theorem for the Feynman in-tegral, J, Math. Phys, 25(1984), 1323-1326] proved a bounded convergence theorem for hte Feynman integral. This is the first stability theorem of the Feynman integral as an $L(L_2 (\mathbb{R}^N), L_2(\mathbb{R}^{N}))$ theory. Johnson and Lapidus [Generalized Dyson series, generalized Feynman digrams, the Feynman integral and Feynmans operational calculus. Mem, Amer, Math, Soc. 62(1986), no 351] studied stability theorems for the Feynman integral as an $L(L_2 (\mathbb{R}^N), L_2(\mathbb{R}^{N}))$ theory for the functional with arbitrary Borel measure. These papers treat functionals which involve only a single integral. In this paper, we obtain the stability theorems for the Feynman integral as an $L(L_1 (\mathbb{R}^N), L_{\infty}(\mathbb{R}^{N}))$theory for the functionals which involve double integral with some Borel measures.

• 한국통신학회논문지
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• 제33권10C호
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• pp.829-835
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• 2008

최근 무안경식 3D 디스플레이 방법으로 잘 알려진 3D 집적 영상 시스템에 대한 연구가 활발히 진행되고 있다. 이 3D 집적 영상 기술은 연속적인 시점, 완전 시차와 풀 칼라 영상을 공중에 표현하는 유망한 기술이다. 본 논문에서는 한 대의 카메라를 이용한 새로운 형태의 인터렉티스 3D 집적 영상 시스템을 제안한다. 이 장치는 기존의 3D 집적 영상 디스플레이 시스템에 단순한 한 대의 카메라를 추가적으로 사용하여 유저 인터페이스가 구현될 수 있다. 제안하는 시스템의 가능성을 보이기 위해서, 실험적인 장치 구현을 수행하고 기초적인 실험 결과를 보고한다. 우리가 아는 한 제안하는 방법은 3D 집적 영상 시스템에 최초로 인터렉션 기능을 추가한 것이다.

• Communications for Statistical Applications and Methods
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• 제22권5호
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• pp.487-494
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• 2015

A calculation of the Kullback-Leibler information of consecutive order statistics is complicated because it depends on a multi-dimensional integral. Park (2014) discussed a representation of the Kullback-Leibler information of the first r order statistics in terms of the hazard function and simplified the r-fold integral to a single integral. In this paper, we first express the Kullback-Leibler information in terms of the reversed hazard function. Then we establish a generalized result of Park (2014) to an arbitrary consecutive order statistics. We derive a single integral form of the Kullback-Leibler information of an arbitrary block of order statistics; in addition, its relation to the Fisher information of order statistics is discussed with numerical examples provided.

• Journal of applied mathematics & informatics
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• 제36권1_2호
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• pp.1-14
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• 2018

In this paper, we prove the existence, uniqueness and stability of solution for some nonlinear functional-integral equations by using generalized coupled Lipschitz condition. We prove a fixed point theorem to obtain the mentioned aim in Banach space $X=C([a,b],{\mathbb{R}})$. As application we study some volterra integral equations with linear, nonlinear and single kernel.

• 대한전기학회:학술대회논문집
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• 대한전기학회 2003년도 추계학술대회 논문집 전기기기 및 에너지변환시스템부문
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• pp.190-192
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• 2003

Single phase induction motor is used widely in various electronic appliances by advantage that is simple structure and a low-cost. As high starting torque characteristic is mostly used capacitor run single phase induction motor. In this paper, it is applied that speed controller of Capacitor run single phase induction motor of digital way used general microprocessor, and phase control method used average voltage. Torque get non-linearity to domain of low speed. Unstable domain of low speed is applied of integral cycle control. so it is wide that Speed control domain. Also, PID controller is used to improve characteristic of fast response. The validity of proposed method is verified from simulation and experiment result

• IEIE Transactions on Smart Processing and Computing
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• 제3권6호
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• pp.382-387
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• 2014

A computational approach to depth estimations using a color over lapped integral imaging system is presented. The proposed imaging system acquires multiple color images simultaneously through a single lens with an array of multiple pinholes that are distributed around the optical axis. This paper proposes a computational model of the relationship between the real distance of an object and the disparity among different color images. The proposed model can serve as a computational basis of a single camera-based depth estimation.

• 대한전기학회:학술대회논문집
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• 대한전기학회 2002년도 합동 추계학술대회 논문집 정보 및 제어부문
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• pp.233-236
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• 2002

We consider a single-input-single-output nonlinear system which can be represented in a normal form. The nonlinear system has a modeling uncertainties including the input coefficient uncertainties. A high-gain observer is used to estimate the states variables to reject a modeling uncertainty. A globally bounded output feedback integral sliding mode control is proposed to stabilize the closed loop system. The proposed integral sliding mode control can asymptotically stabilize the closed loop system in the it presence of input coefficient uncertainty.

• 대한기계학회논문집
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• 제8권1호
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• pp.26-33
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• 1984

Constant-load-amplitude fatigue crack growth tests were carried out on 5083-0 aluminum alloy under elastic and elastic-plastic conditions. Crack length, crack closure and monotonic fatigue deformation were measured by Kikukawa's unloading elastic compliance monitoring technique and elastic-plastic fatigue crack growth rates were analysed in terms of J integral. Elastic-plastic fatigue crack growth rates can be well expressed by effective cyclic J integral until general yielding occurs. Beyond general yielding, monotonic fatigue deformation becomes significant and growth rates cannot be characterized by a single parameter of effective cyclic J integral alone. However, introducing one more parameter, maximum J integral J$_{max}$ to account for the effect of monotonic fatigue deformation, can explain fatigue crack growth behavior beyond general yielding.