• Title/Summary/Keyword: dual space

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A Coupled Higher-Order Nonlinear $Schr{\ddot{o}}dinger$ Equation Including Higher-Order Bright and Dark Solitons

  • Kim, Jong-Bae
    • ETRI Journal
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    • v.23 no.1
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    • pp.9-15
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    • 2001
  • We suggest a generalized Lax pair on a Hermitian symmetric space to generate a new coupled higher-order nonlinear $Schr{\ddot{o}}dinger$ equation of a dual type which contains both bright and dark soliton equations depending on parameters in the Lax pair. Through the generalized ways of reduction and the scaling transformation for the coupled higher-order nonlinear $Schr{\ddot{o}}dinger$ equation, two integrable types of higher-order dark soliton equations and their extensions to vector equations are newly derived in addition to the corresponding equations of the known higher-order bright solitons. Analytical discussion on a general scalar solution of the higher-order dark soliton equation is then made in detail.

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LOCALIZATION PROPERTY AND FRAMES

  • HA, YOUNG-HWA;RYU, JU-YEON
    • Honam Mathematical Journal
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    • v.27 no.2
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    • pp.233-241
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    • 2005
  • A sequence $\{f_i\}^{\infty}_{i=1}$ in a Hilbert space H is said to be exponentially localized with respect to a Riesz basis $\{g_i\}^{\infty}_{i=1}$ for H if there exist positive constants r < 1 and C such that for all i, $j{\in}N$, ${\mid}{\mid}{\leq}Cr^{{\mid}i-j{\mid}}$ and ${\mid}{\mid}{\leq}Cr^{{\mid}i-j{\mid}}$ where $\{{\tilde{g}}_i\}^{\infty}_{i=1}$ is the dual basis of $\{g_i\}^{\infty}_{i=1}$. It can be shown that such sequence is always a Bessel sequence. We present an additional condition which guarantees that $\{f_i\}^{\infty}_{i=1}$ is a frame for H.

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Analysis of Internal Loading for Triple Manipulator Robotics

  • Chung, Jae-Heon;Yi, Byung-Ju;Kim, Whee-Kuk
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.1603-1608
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    • 2003
  • Multiple robotics systems with several sub-chains have a characteristic that grasp a common object with internal loading not to loose the grip. The investigation for the internal loading of a triple manipulator has been few as compared to a dual manipulator. In this paper, type of the internal loading for a triple manipulator system is investigated through analysis of the null space of the system. Several types of the internal loading are shown for general planar and spatial type triple robots, which rigidly grasp the common object. The general scheme is applied to analysis of the internal loading for the three-fingered and three-legged robots having a point contact with the grasped object.

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A New Hardening Technique Against Radiation Faults in Asynchronous Digital Circuits Using Double Modular Redundancy (이중화 구조를 이용한 비동기 디지털 시스템의 방사선 고장 극복)

  • Kwak, Seong Woo;Yang, Jung-Min
    • Journal of Institute of Control, Robotics and Systems
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    • v.20 no.6
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    • pp.625-630
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    • 2014
  • Asynchronous digital circuits working in military and space environments are often subject to the adverse effects of radiation faults. In this paper, we propose a new hardening technique against radiation faults. The considered digital system has the structure of DMR (Double Modular Redundancy), in which two sub-systems conduct the same work simultaneously. Based on the output feedback, the proposed scheme diagnoses occurrences of radiation faults and realizes immediate recovery to the normal behavior by overriding parts of memory bits of the faulty sub-system. As a case study, the proposed control scheme is applied to an asynchronous dual ring counter implemented in VHDL code.

A Study on the Model of Light Interception and Absorption in Plant Canopies (植物의 樹冠에 있어서 光의 遮斷과 吸收 Model 에 關한 硏究)

  • Chang, Nam-Kee;Kyung-Oh Kwon
    • The Korean Journal of Ecology
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    • v.8 no.2
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    • pp.61-68
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    • 1985
  • The modeling of interception and absorption of light was studied in plant canopies at Mt. Kwanak. Followering results were obtained. Light intensity passing through the stacked leaves is attenuated exponentially. This phenomenon seems to be more clearly applied to the plant canopies, if they have large cumulative leaf area and are matured densely. Light interception and absorption are influenced by leaf thickness, shape pigments, and leaf area, and they have great effect on the maturation of canopies. It was confirmed that the light penetrating through the stratified canopies is decreased exponentially in dual pattern. The cumulative leaf area of a definite space in a certain plant canopy is the same as the growth of leaf area of the canopy at that time. A hypothetical model for calculating the light absorption in plant canopies, was established on the bases of phenomena that incident light is captured at the maximum level and light inerception effect is minimized by leaves.

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Collision-Avoidance Task Planning for 8 Axes-Robot Using Neural Network (신경회로망을 이용한 8축 로봇의 충돌회피 경로계획)

  • 최우형;신행봉;윤대식;문병갑;한성현
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2002.04a
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    • pp.184-189
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    • 2002
  • Collision free task planning for dual-arm robot which perform many subtasks in a common work space can be achieved in two steps : path planning and trajectory planning. Path planning finds the order of tasks for each robot to minimize path lengths as well as to avoid collision with static obstacles. A trajectory planning strategy is to let each robot move along its path as fast as possible and delay one robot at its initial position or reduce speed at the middle of its path to avoid collision with the other robot.

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Reception Performance of Dual Polarized MIMO system with DSTTD-SM (DSTTD-SM 기법을 적용한 이중편파 MIMO 시스템 수신 성능 분석)

  • Park, Myung Chul;Han, Dong Seog
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2017.06a
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    • pp.153-154
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    • 2017
  • 본 논문은 DSTTD-SM(double space time transmit diversity with spatial-modulation)기법이 적용된 이중편파 MIMO 시스템의 수신 성능에 대하여 안테나 간 간섭 환경에서 분석하였다. 차세대 방송 시스템에서는 고품질의 영상을 전송하기 위하여 ATSC 3.0 에서 이중편파 MIMO 시스템을 채택하였다. 기존 MIMO 기법을 이중편파 MIMO 시스템에 적용하였을 때 시스템의 수신 성능에 대한 분석을 하기 위하여 본 논문에서 SM, STBC, STBC-SM 그리고 DSTTD-SM 의 수신 성능을 SUI 채널 환경에서 모의실험을 통하여 분석하였다.

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An Antenna with Combination of Electric-Magnetic Radiators for NotePC Platform (전기-자기계 방사체 결합형 노트 PC용 안테나)

  • Kim, Yong-Jin;Kim, Jin-Hwan
    • The Transactions of the Korean Institute of Electrical Engineers P
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    • v.59 no.1
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    • pp.24-28
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    • 2010
  • This paper is presented on the antenna design for notepc platform. We present the antenna with combination of electric-magnetic radiator for dual-band Wireless Local Area Network (WLAN) service and a High Speed Downlink Packet Access (HSDPA) service. Due to the limited antenna space in notepc platform, the antennas for various wireless communication service should be located at a very small area. In this paper, the magnetic-type radiator works for high frequency band (1.7 - 2.1 GHz) application and the electric-type radiator works for low frequency band (820 - 960 MHz) application. This combination produces wide-band characteristics in the high frequency band. Simulation and experimental results of input impedance and gain characteristics of the proposed antenna are presented. There are good agreements between the simulated and measured S11 and gain values.

구속 받는 유연 매니퓨레이터의 병렬 위치/힘 제어

  • Kim, Jin-Soo;Uchiyama, Masaru
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.3
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    • pp.76-82
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    • 2000
  • 본 논문에서는 환경에 구속 받는 유연 매니퓨레이터의 힘/위치에 대하여 논하고자 한다. 일반적으로, 유연 매니퓨레이터의 모델링 방법은 분포 정수 모델과 집중 정수 모델로 분류할 수 있다. 전자인 분포 정수 모델을 이용해서는 평면 1 링크, 2 링크를 대상으로 한 위치/힘 제어는 가능하나, 운동 방정식의 복잡성으로 인하여 실시간에서 다 링크 다 관절 유연 매니퓨레이터의 힘/위치를 제어하기는 어렵게 여겨져 왔다. 본 논문에서는 집중 정수 모델링 방법인 집중 스프링 질량 모델(Lumped Spring Mass Model)을 이용하여 환경에 구속받는 유연 매니퓨레이터의 운동 방정식을 산출했다 이 모델을 실험기인 유연 매니퓨레이터 ADAM(Aerospace Dual Arm Manipulators)에 적용하여 실시간 위치/힘 제어 실험을 행하였으며, MATLAB를 이용하여 해석했다. 또한, ADAMS$^{TM}$ FEM를 이용하여 분포 정수 모델을 도출하여, 해석하였으며, 이 결과와 집중 정수 모델을 이용한 MATLAB 해석의 결과, 그리고 실험 결과를 비교 분석하여 본 논문에서 제안한 구속받는 유연 매니퓨레이터의 집중 정수 모델 타당성을 입증시켰다.

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Thermomechanical deformation in porous generalized thermoelastic body with variable material properties

  • Kumar, Rajneesh;Devi, Savita
    • Structural Engineering and Mechanics
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    • v.34 no.3
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    • pp.285-300
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    • 2010
  • The two-dimensional deformation of a homogeneous, isotropic thermoelastic half-space with voids with variable modulus of elasticity and thermal conductivity subjected to thermomechanical boundary conditions has been investigated. The formulation is applied to the coupled theory(CT) as well as generalized theories: Lord and Shulman theory with one relaxation time(LS), Green and Lindsay theory with two relaxation times(GL) Chandrasekharaiah and Tzou theory with dual phase lag(C-T) of thermoelasticity. The Laplace and Fourier transforms techniques are used to solve the problem. As an application, concentrated/uniformly distributed mechanical or thermal sources have been considered to illustrate the utility of the approach. The integral transforms have been inverted by using a numerical inversion technique to obtain the components of displacement, stress, changes in volume fraction field and temperature distribution in the physical domain. The effect of dependence of modulus of elasticity on the components of stress, changes in volume fraction field and temperature distribution are illustrated graphically for a specific model. Different special cases are also deduced.