• 대한수학회논문집
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• 제12권1호
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• pp.79-86
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• 1997

It is well-known that a null 2-type surface in 3-dimensional Euclidean space $E^#$ is an open portion of circular cylinder. In this article we prove that a surface with 2-type and 1-type Gauss map in $E^3$ is in fact of null 2-type and thus it is an open portion of circular cylinder.

• 대한수학회지
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• 제37권4호
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• pp.593-611
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• 2000

For linear time-varying control systems with constrained control described by both differential and discrete-time equations in Banach spaces was give necessary and sufficient conditions for exact global null-controllability. We then show that for such systems, complete stabilizability implies exact null-controllability.

• 대한수학회논문집
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• 제33권4호
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• pp.1341-1356
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• 2018

The author devotes this paper to defining a new class of generalized soft open sets, namely soft somewhere dense sets and to investigating its main features. With the help of examples, we illustrate the relationships between soft somewhere dense sets and some celebrated generalizations of soft open sets, and point out that the soft somewhere dense subsets of a soft hyperconnected space coincide with the non-null soft ${\beta}$-open sets. Also, we give an equivalent condition for the soft csdense sets and verify that every soft set is soft somewhere dense or soft cs-dense. We show that a collection of all soft somewhere dense subsets of a strongly soft hyperconnected space forms a soft filter on the universe set, and this collection with a non-null soft set form a soft topology on the universe set as well. Moreover, we derive some important results such as the property of being a soft somewhere dense set is a soft topological property and the finite product of soft somewhere dense sets is soft somewhere dense. In the end, we point out that the number of soft somewhere dense subsets of infinite soft topological space is infinite, and we present some results which associate soft somewhere dense sets with some soft topological concepts such as soft compact spaces and soft subspaces.

• 대한수학회지
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• 제34권2호
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• pp.437-452
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• 1997

We study low type submanifolds in pseudo-Euclidean space which is especially of 2-type pseudo-umbilical. We also determine full null 2-type surfaces with parallel mean curvature vector in 4-dimensional Minkowski space-time.

• Kyungpook Mathematical Journal
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• 제54권3호
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• pp.413-423
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• 2014

In this article we study different properties of the statistically convergent and statistically null sequence classes of fuzzy real numbers with fuzzy metric, like completeness, solidness, sequence algebra, symmetricity and convergence free.

• 대한수학회보
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• 제22권2호
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• pp.95-98
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• 1985

In [1], E.B. Lee and L. Markus described a sufficient condition for which the domain of null-controllability of a linear autonomous system is all of R$^{n}$ . The purpose of this note is to extend the result to a certain linear nonautonomous system. Thus we consider a linear control system dx/dt = A(t)x+B(t)u in the Eculidean n-space R$^{n}$ where A(t) and B(t) are n*n and n*m matrices, respectively, which are continuous on 0.leq.t<.inf. and A(t) is a periodic matrix of period .omega.. Admissible controls are bounded measurable functions defined on some finite subintervals of [0, .inf.) having values in a certain convex set .ohm. in R$^{m}$ with the origin in its interior. And we present a sufficient condition for which the domain of null-controllability is all of R$^{n}$ .

• 한국음향학회지
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• 제23권4호
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• pp.288-295
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• 2004

천해는 속도가 빠르고 강한 간섭표적으로 인하여 신호단편 (snapshot) 수가 제한되어 인접한 느리고 약한 표적을 탐지하기 어려운 환경이다. 천해환경에서 적응정합장처리에 적용하여 고소음의 간섭표적의 효과를 줄일 수 있는 도파관 공간의 간섭표적 필터링 기법을 제안하였다. 이를 위하여 NDC (null direction constraint)를 적용한 MCM (multiple constraint method) 기법을 새로운 공간간섭 필터로 제안하였다. NDC는 복제음장을 이용하여 CSDM (cross-spectral density matrix)에 포함되어있는 강한 소음원 성분을 강제적으로 걸러줌으로서, 부엽 준위가 낮아지고 저소음표적 신호의 이득을 복원시킨다. 이 기법을 Pekeris 도파관에서의 시뮬레이션 및 동해에서 수행한 정합장처리 실험인 HAPLE03 (matched acoustic properties and localization experiment)의 수직선배열 자료에 적용하였으며, 그 결과 인접한 저소음 표적의 SBNR (signal-to-background-and-noise ratio)이 MVDR (minimum variance distortionless response)과 NSP (null space projection) 보다 향상되었다.

• 한국통신학회논문지
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• 제36권4A호
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• pp.399-406
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• 2011

적응 빔 형성기 (adaptive beamformer)는 원하는 신호의 도래각 정보를 이용하여 간섭신호를 제거하면서 원하는 신호 방향으로 어레이 이득을 최대로 한다. 그러나 도래각 정보가 정확치 않다면, 원하는 신호도 감쇠되어 심각한 성능저하가 발생한다. 이러한 문제에 대처하기위해, 신호차단에 기초하여 적응 빔을 형성하는 Duvall 구조를 이용하여, 효과적으로 원하는 신호의 도래각 추정을 통해 에러에 강인한 적응 빔 형성방법을 제시하였다. 제시된 방법에서는 간섭신호공간을 추정하여 이에 직교하도록 간단한 계산을 통해 가중벡터를 구하며, 특히 센서의 수가 많을수록 기존 방식에 비해 계산량의 절감이 크다.

• Journal of Astronomy and Space Sciences
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• 제23권4호
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• pp.397-404
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• 2006

Geometric singularity problems are principle difficulties of single-gimbal control moment gyros in spacecraft attitude control. To overcome these singularities, many steering logics have been studied. In this paper, a new null motion steering law is suggested, which is based on the minimization of the directional components of output torque with respect to the required torque. The suggested steering law has been simulated and verified to work well around several critical singular points which have been classified as testing points of avoidance algorithm in previous literatures.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 1996년도 한국자동제어학술회의논문집(국내학술편); 포항공과대학교, 포항; 24-26 Oct. 1996
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• pp.539-542
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• 1996

The forces exerted on an object by the end-effectors of multi-manipulators are decomposed into the motion-inducing force and the internal force. Motion-inducing force effects the motion of an object and internal force can't effect it. The motion of an object can't track exactly the desired motion because of internal force component, therefore internal force component must be considered. In this paper using the resolved acceleration control method and the fact that internal force lies in the null space of jacobian matrix, we construct independently the position, motion-inducing force and internal force controller. Secondly we construct the robust controller to preserve the robustness with respect to the uncertainty of manipulator parameters.