• 제목/요약/키워드: dual space

검색결과 616건 처리시간 0.023초

A GENERALIZATION OF DIFFERENTIAL FORMS AND ITS APPLICATION

  • Shikata, Yoshihiro;Hong, Suk-Ho
    • 대한수학회보
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    • 제28권2호
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    • pp.225-229
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    • 1991
  • Our final purpose may be to introduce generalized differential forms on the space Map(S, M) of mappings from a manifold S into a manifold M and discuss the differential geometry of the space Map(S, M) from the point of the generalized forms. Here we take a subspace X of the space Map(S,M) and we introduce the generalized differential forms on X, taking the dual to the chain space with the flat norm. This method of construction allows us to discuss a sufficient condition for a subspace Y of X to admit the generalized differential forms and the natural integration as the dual operation.

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RESEARCH ON NORMAL STRUCTURE IN A BANACH SPACE VIA SOME PARAMETERS IN ITS DUAL SPACE

  • Gao, Ji
    • 대한수학회논문집
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    • 제34권2호
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    • pp.465-475
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    • 2019
  • Let X be a Banach space and $X^*$ be its dual. In this paper, we give relationships among some parameters in $X^*$: ${\varepsilon}$-nonsquareness parameter, $J({\varepsilon},X^*)$; ${\varepsilon}$-boundary parameter, $Q({\varepsilon},X^*)$; the modulus of smoothness, ${\rho}_{X^*}({\varepsilon})$; and ${\varepsilon}$-Pythagorean parameter, $E({\varepsilon},X^*)$, and weak orthogonality parameter, ${\omega}(X)$ in X that imply uniform norm structure in X. Some existing results are extended or approved.

DUAL SURFACES DEFINED BY z = f(u) + g(ν) IN SIMPLY ISOTROPIC 3-SPACE ${\mathbb{I}}{\frac{1}{3}}$

  • Cakmak, Ali;Karacan, Murat Kemal;Kiziltug, Sezai
    • 대한수학회논문집
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    • 제34권1호
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    • pp.267-277
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    • 2019
  • In this study, we define the dual surfaces by z = f(u) + g(v) and also classify these surfaces in ${\mathbb{I}}{\frac{1}{3}}$ satisfying some algebraic equations in terms of the coordinate functions and the Laplace operators according to fundamental forms of the surface.

Operation of the Radio Occultation Mission in KOMPSAT-5

  • Choi, Man-Soo;Lee, Woo-Kyoung;Cho, Sung-Ki;Park, Jong-Uk
    • Journal of Astronomy and Space Sciences
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    • 제27권4호
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    • pp.345-352
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    • 2010
  • Korea multi-purpose satellite-5 (KOMPSAT-5) is a low earth orbit (LEO) satellite scheduled to be launched in 2010. To satisfy the precision orbit determination (POD) requirement for a high resolution synthetic aperture radar image of KOMPSAT-5, KOMPSAT-5 has atmosphere occultation POD (AOPOD) system which consists of a space-borne dual frequency global positioning system (GPS) receiver and a laser retro reflector array. A space-borne dual frequency GPS receiver on a LEO satellite provides position data for the POD and radio occultation data for scientific applications. This paper describes an overview of AOPOD system and operation concepts of the radio occultation mission in KOMPSAT-5. We showed AOPOD system satisfies the requirements of KOMPSAT-5 in performance and stability.

An Equivalent Carrier-based Implementation of a Modified 24-Sector SVPWM Strategy for Asymmetrical Dual Stator Induction Machines

  • Wang, Kun;You, Xiaojie;Wang, Chenchen
    • Journal of Power Electronics
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    • 제16권4호
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    • pp.1336-1345
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    • 2016
  • A modified space vector pulse width modulation (SVPWM) strategy based on vector space decomposition and its equivalent carrier-based PWM realization are proposed in this paper, which is suitable for six-phase asymmetrical dual stator induction machines (DSIMs). A DSIM is composed of two sets of symmetrical three-phase stator windings spatially shifted by 30 electrical degrees and a squirrel-cage type rotor. The proposed SVPWM technique can reduce torque ripples and suppress the harmonic currents flowing in the stator windings. Above all, the equivalent relationship between the proposed SVPWM technique and the carrier-based PWM technique has been demonstrated, which allows for easy implementation by a digital signal processor (DSP). Simulation and experimental results, carried out separately on a simulation system and a 3.0 kW DSIM prototype test bench, are presented and discussed.

13M ANTENNA UPGRADE PLAN FOR FUTURE MISSION

  • Park, Durk-Jong;Yang, Hyung-Mo;Koo, In-Hoi;Ahn, Sang-Il
    • 대한원격탐사학회:학술대회논문집
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    • 대한원격탐사학회 2007년도 Proceedings of ISRS 2007
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    • pp.493-495
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    • 2007
  • Future sub-meter resolution LEO missions require simultaneous dual-polarization downlink and/or multiple channel downlinks in single polarization. Especially, dual-polarization is needed to cope with bandwidth limitation due to high speed data transmission. Current KARI 13m X-Band antenna system needs to be upgraded to cope with such downlink schemes. This paper describes brief discussions on engineering work regarding how to meet the new requirements with minimum impact on current system as well as C&M (Control and Monitoring) software.

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Hybrid State Space Self-Tuning Fuzzy Controller with Dual-Rate Sampling

  • Kwon, Oh-Kook;Joo, Young-Hoon;Park, Jin-Bae;L. S. Shieh
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1998년도 제13차 학술회의논문집
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    • pp.244-249
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    • 1998
  • In this paper, the hybrid state space self-tuning control technique Is studied within the framework of fuzzy systems and dual-rate sampling control theory. We show that fuzzy modeling techniques can be used to formulate chaotic dynamical systems. Then, we develop the hybrid state space self-tuning fuzzy control techniques with dual-rate sampling for digital control of chaotic systems. An equivalent fast-rate discrete-time state-space model of the continuous-time system is constructed by using fuzzy inference systems. To obtain the continuous-time optimal state feedback gains, the constructed discrete-time fuzzy system is converted into a continuous-time system. The developed optimal continuous-time control law is then convened into an equivalent slow-rate digital control law using the proposed digital redesign method. The proposed technique enables us to systematically and effective]y carry out framework for modeling and control of chaotic systems. The proposed method has been successfully applied for controlling the chaotic trajectories of Chua's circuit.

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Outage Performance of Selective Dual-Hop MIMO Relaying with OSTBC and Transmit Antenna Selection in Rayleigh Fading Channels

  • Lee, In-Ho;Choi, Hyun-Ho;Lee, Howon
    • Journal of Information Processing Systems
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    • 제13권5호
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    • pp.1071-1088
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    • 2017
  • For dual-hop multiple-input multiple-output (MIMO) decode-and-forward relaying systems, we propose a selective relaying scheme that uses orthogonal space-time block code (OSTBC) and transmit antenna selection with maximal-ratio combining (TAS/MRC) or vice versa at the first and second hops, respectively. The aim is to achieve an asymptotically identical performance to the dual-hop relaying system with only TAS/MRC, while requiring lower feedback overhead. In particular, we give the selection criteria based on the antenna configurations and the average channel powers for the first and second hops, assuming Rayleigh fading channels. Also, the numerical results are shown for the outage performance comparison between the dual-hop DF relaying systems with the proposed scheme, only TAS/MRC, and only OSTBC.

위성의 Dual-Spin Turn 방법 분석 및 자세획득 (Investigation of Dual-Spin Turn and Attitude Acquisition of Satellite)

  • 서현호;이승우
    • 한국항공우주학회지
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    • 제34권2호
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    • pp.36-47
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    • 2006
  • 인공위성에서 자세획득을 위해 기동을 하거나 이상상태 발생으로 위성이 임무를 수행하지 못하여 결국에 위성을 잃어버리게 되는 Flat Spin 상태에서 자세를 복구하는 방안인 Dual Spin Turn의 원리에 대한 연구가 수행되었다. Dual Spin Turn 현상에서 중요한 모멘텀 전달 원리를 물리적으로 명확하게 설명하였다. 그리고 기존의 연구결과에서 많이 알려진 방법을 포함하여 일반적인 위성의 관성모멘트 조건과 모멘텀 휠의 회전 방향 등을 여러 가지로 변화시켜 보면서 타당성을 검증하였다. Dual Spin Turn 과정은 개루프 제어와 에너지 감쇄장치의 도입이라는 2단계 제어방법을 이용하여 여러 경우에 대해 시뮬레이션으로 분석해보았다. 또한 제어의 타당성을 입증하기 위해 2단계 제어 이후의 안정성에 대해 검증하였다. 그리고 Dual Spin Turn을 이용하여 Flat Spin Recovery를 수행하는 시나리오를 예제로 제시하였다.