• 제목/요약/키워드: Vector Space

검색결과 1,798건 처리시간 0.029초

GENERALIZED VECTOR MINTY'S LEMMA

  • Lee, Byung-Soo
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제19권3호
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    • pp.281-288
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    • 2012
  • In this paper, the author defines a new generalized ${\eta}$, ${\delta}$, ${\alpha}$)-pseudomonotone mapping and considers the equivalence of Stampacchia-type vector variational-like inequality problems and Minty-type vector variational-like inequality problems for generalized (${\eta}$, ${\delta}$, ${\alpha}$)-pseudomonotone mappings in Banach spaces, called the generalized vector Minty's lemma.

FRACTIONAL VECTOR CROSS PRODUCT

  • Tripathi, Mukut Mani;Kim, Jong Ryul
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제29권1호
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    • pp.103-112
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    • 2022
  • A definition of fractional vector cross product of two vectors in Euclidean 3-space is presented. The formulas for Euclidean norm of the fractional vector cross product of two vectors, and for fractional triple vector cross product are obtained.

A Method to Compensate the Distorted Space Vectors in the Unbalanced Neutral Point Voltage of 3-level NPC PWM Inverters

  • Hyun, Seung-Wook;Hong, Seok-Jin;Lee, Jung-Hyo;Lee, Chun-Bok;Won, Chung-Yuen
    • Journal of Power Electronics
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    • 제16권2호
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    • pp.455-463
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    • 2016
  • This paper proposes a compensation method to improve the distorted space vectors when a 3-level Neutral Point Clamped (NPC) inverter has an unbalanced neutral point voltage. Since both the neutral point voltage of the DC link and the space vector of a 3-level NPC inverter are closely related depending on the output load connecting state, a distorted space vector can occur when the neutral point voltage of a 3-level NPC inverter is unbalanced. The proposed method can improve the distorted space vectors by adjusting the injection time of the small and medium vectors and by modulating the amplitude of the carrier waveforms. In this paper, the proposed method is verified by both simulation and experimental results based on a 3-level NPC inverter.

ON THE FUZZY STABILITY OF CUBIC MAPPINGS USING FIXED POINT METHOD

  • Koh, Heejeong
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제19권4호
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    • pp.397-407
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    • 2012
  • Let X and Y be vector spaces. We introduce a new type of a cubic functional equation $f$ : $X{\rightarrow}Y$. Furthermore, we assume X is a vector space and (Y, N) is a fuzzy Banach space and then investigate a fuzzy version of the generalized Hyers-Ulam stability in fuzzy Banach space by using fixed point method for the cubic functional equation.

On generic submanifolds of a complex projective space

  • Seong Baek Lee;Seung Gook Han;Nam Gil Kim;Seong Soo Ahn
    • 대한수학회논문집
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    • 제11권3호
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    • pp.743-756
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    • 1996
  • The purpose of this paper is to compute the covariant derivative of a shape operator of a generic submanifold of a complex space form without using the Green-Stoke's theorem. In particular, we classify complete generic submanifolds of a complex number space $C^m$ with parallel mean curvature vector satisfying a certain condition.

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A note on convexity on linear vector space

  • Hong, Suk-Kang
    • Journal of the Korean Statistical Society
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    • 제1권1호
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    • pp.18-24
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    • 1973
  • Study on convexity has been improved in many statistical fields, such as linear programming, stochastic inverntory problems and decision theory. In proof of main theorem in Section 3, M. Loeve already proved this theorem with the $r$-th absolute moments on page 160 in [1]. Main consideration is given to prove this theorem using convex theorems with the generalized $t$-th mean when some convex properties hold on a real linear vector space $R_N$, which satisfies all properties of finite dimensional Hilbert space. Throughout this paper $\b{x}_j, \b{y}_j$ where $j = 1,2,......,k,.....,N$, denotes the vectors on $R_N$, and $C_N$ also denotes a subspace of $R_N$.

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CDMA 환경하에서 최적화된 유사임의 코드 획득에 대한 연구 : 선형 공간적인 접근방법 (On Optimal PN Code Acquisition in CDMA Communications Environment : A Vector Space Approach)

  • 장승용;장우진;김운경
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 1999년도 추계종합학술대회 논문집
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    • pp.13-16
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    • 1999
  • Many of the currently used PN code acquisition algorithms detect the phase of the incoming PN signal on the basis of ML estimation principle and utilize statistics grounded in taking inner products. As an extension of PN code acquisition algorithm using one auxiliary code introduced by Salih in 1996, we propose a more and optimal (hardware / time / space complexity wise) algorithm by using a vector space approach. We outline some important differences between our algorithm and that introduced by Salih and in the process point out some advantages of our algorithm.

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MATLAB/SIMULINK와 dSPACE DS1104를 이용한 유도 전동기의 속도 센서리스 벡터제어 (Speed Sensorless Vector Control of Induction Motor Using MATLAB/SIMULINK and dSPACE DS1104)

  • 이동민;이용석;지준근
    • 한국산학기술학회논문지
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    • 제8권2호
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    • pp.212-218
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    • 2007
  • 본 논문에서는 MATLAB/SIMULINK와 dSPACE DS1104를 이용하여 유도 전동기의 속도 센서리스 벡터제어를 구현하였다. 유도 전동기의 속도 센서리스 벡터제어의 운전특성을 개선하기 위하여 전압 모델 자속 추정방식과 전류 모델 자속 추정방식을 혼합한 자속 추정기 알고리즘을 도입하여 정밀도가 높은 개선된 자속 추정방식을 사용하였다. 또한 추정된 자속을 이용하여 회전자 속도를 추정하고 이를 유도전동기의 속도 제어에 사용하였다. 전체 시스템은 직접벡터제어 방식을 기반으로 일반적인 PI 제어기를 사용한 속도 제어기, 전류 제어기, 자속 제어기로 구성하였다. MATLAB/SIMULINK를 이용하여 블록다이어그램 방식으로 속도 센서리스 벡터제어 알고리즘을 구현하였고, dSPACE DS1104의 제어보드와 Real-Time-Interface(RTI)를 이용하여 실시간 제어를 수행하였다.

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직각좌표 공간에서 로봇 매니퓰레이터의 직선 궤적계획에 관한 연구 (A Study on Straight Line Trajectoties of Robot Mainpulator in Cartesian Space)

  • 한상완;홍석교
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1991년도 하계학술대회 논문집
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    • pp.763-766
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    • 1991
  • The moving of each axis in the robot manipulator can be represented with the motion of cartesian space. This paper shows the robot manipulator of the straight line trajectory planning algorithms in the cartesian space. The relation formulas between cartesian space and joint space are induced to accomplish a desired trajectory in the cartesian space and the velocity vector of sampling time in the cartesian space is transformed into the velocity vector of joint by the interpolation method. The error of trajectory in moving is removed by obtaining the real position for the present joint position and the desired distance is made by comparing the real position and the next position. Through the simple tests for suggested algorithms are confirmed the validity of algorithms.

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