• Title/Summary/Keyword: 안정과 조화

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선형계획 프로그램 개발에 있어서 사전처리에 관한 연구 및 실험 결과

  • 안재근;김우제;박순달
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 1993.10a
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    • pp.49-49
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    • 1993
  • 선형계획 프로그램의 개발에 있어서 속도의 제고와 수치적안정을 고려한 방법에 대한 접근들이 이루어지고 있다. 본 연구에서는 단체법 수행 이전에 입력자료의 사전처리를 통해 속도 및 수치적 안정을 도모하고자 하는 방법과 이에 대한 전산실험 결과를 제시하고자 한다. 입력자료의 사전처리는 첫째, 수치적 안정을 향상시키는 입력자료의 Scaling에 대한 내용과 둘째, 문제의 크기를 줄이거나 단체법에서 다루기 쉬운 형태로 변형하여 속도를 제고하고 수치적 안정을 도모하는 입력자료의 재구조화에 대한 내용으로 구성된다. 본 연구에서 다루는 주요 내용은 다음과 같다. 첫째, Scaling 부분에서는 여러 가지 Scaling 방법과 이에 대한 비교를 전산실험결과로 제시한다. 둘째, 입력자료의 재구조화 방법과 이에 대한 실험적 결과를 제시한다. 본 연구결과 기대효과로는 선형계획 프로그램의 개발에 있어서의 Scaling 방법과 재구조화 방법들의 선택기준으로 사용될 수 있을 것이다.

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Stability Condition of Discrete System with Time-varying Delay and Unstructured Uncertainty (비구조화된 불확실성과 시변 지연을 갖는 이산 시스템의 안정 조건)

  • Han, Hyung-seok
    • Journal of Advanced Navigation Technology
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    • v.22 no.6
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    • pp.630-635
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    • 2018
  • In this paper, we consider the stability condition for the linear discrete systems with time-varying delay and unstructured uncertainty. The considered system has time invariant system matrices for non-delayed and delayed state variables, but its delay time is time-varying within certain interval and it is subjected to nonlinear unstructured uncertainty which only gives information on uncertainty magnitude. In the many previous literatures, the time-varying delay and unstructured uncertainty can not be dealt in simultaneously but separately. In the paper, new stability conditions are derived for the case to which two factors are subjected together and compared with the existing results considering only one factor. The new stability conditions improving many previous results are proposed as very effective inequality equations without complex numerical algorithms such as LMI(Linear Matrix Inequality) or Lyapunov equation. By numerical examples, it is shown that the proposed conditions are able to include the many existing results and have better performances in the aspects of expandability and effectiveness.

New Stability Condition for Discrete Delayed System with Unstructured Uncertainty (비구조화된 불확실성을 갖는 이산 지연 시스템의 새로운 안정조건)

  • Han, Hyung-seok
    • Journal of Advanced Navigation Technology
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    • v.24 no.6
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    • pp.607-612
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    • 2020
  • In this paper, we deal with the stability of linear discrete systems with time-varying delays and unstructured uncertainty. Stability conditions are derived based on Lyapunov stability theory, and can include the effect of uncertainty. The unstructured uncertainty in the papaer which can not be figured out its exact characteristics and only can be expreesed by its magnitude is considered. Compared with the previous results on the stability, the new results can expand the applicable systems and alleviate the stability conditions which are more effective and powerful. The proposed stability condition is expressed in the form of an simple inequality, and includes the both effects of the uncertainties and time-varying delay. We present the results comparing the new stability condition with the existing results, and verify the effectiveness and the superiority of the proposed results through numerical example.

Prediction of Longitudinal and Directional Stability Derivatives for the SDM using Forced Harmonic Oscillation (강제조화운동을 이용한 SDM의 세로 및 방향 안정성 미계수 예측)

  • Lee, Hyungro;Lee, Seungsoo;Joh, Chang-Yeol
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.40 no.11
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    • pp.948-956
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    • 2012
  • This paper presents the computations of the longitudinal and directional stability derivatives for the SDM(Standard Dynamic Model). The static and dynamic derivatives are evaluated at once using forced harmonic oscillations in the pitch and yaw directions. For the numerical simulations, a 3-D Euler solver that uses a dual time stepping method for unsteady time accurate simulations is applied. This work investigates the variation of the derivatives in terms of the Mach number and the several motion parameters. Good agreement of the pitch and yaw stability derivatives with previously published numerical results and experimental results are observed.

Stability Condition for Discrete Interval Time-Varying System with Unstructured Uncertainty and Time-Varying Delay Time (비구조화된 불확실성과 시변 지연시간을 갖는 이산 시변 구간 시스템의 안정조건)

  • Hyung-seok Han
    • Journal of Advanced Navigation Technology
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    • v.26 no.6
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    • pp.504-509
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    • 2022
  • In this paper, we deal with the stability condition of linear time-varying interval discrete systems with time-varying delays and unstructured uncertainty. For the time-varying interval discrete system which has interval matrix as its system matrices, time-varying delay time within some interval value and unstructured uncertainty which can include non-linearity and be expressed by only its magnitude, the stability condition is proposed. Compared with the previous result derived by using a upper bound solution of the Lyapunov equation, the new result is derived by the form of simple inequality based on Lyapunov stability condition and has the advantage of being more effective in checking stability. Furthermore, the proposed condition is very comprehensive, powerful and inclusive the previously published conditions of various linear discrete systems, and can be expressed by the terms of magnitudes of the time-varying delay time and uncertainty, and bounds of interval matrices. The superiority of the new condition is shown in the derivation, and the usefulness and advantage of the proposed condition are examined through numerical example.

Stability Condition for Discrete Interval System with Unstructured Uncertainty and Time-Varying Delay Time (비구조화된 불확실성과 시변 지연 시간을 갖는 이산 구간 시스템의 안정조건)

  • Hyung-seok Han
    • Journal of Advanced Navigation Technology
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    • v.25 no.6
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    • pp.551-556
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    • 2021
  • In this paper, we deal with the stability condition of linear interval discrete systems with time-varying delays and unstructured uncertainty. For the interval discrete system which has interval matrix as its system matrices, time-varying delay time within some interval value and unstructured uncertainty which can include non-linearity and be expressed by only its magnitude, the stability condition is proposed. Compared with the previous result derived by using a upper bound solution of the Lyapunov equation, the new results are derived by the form of simple inequality based on Lyapunov stability condition and have the advantage of being more effective in stability application. Furthermore, the proposed stable conditions are very comprehensive and powerful, including the previously published stable conditions of various linear discrete systems. The superiority of the new condition is proven in the derivation process, and the utility and superiority of the proposed condition are examined through numerical example.

Analysis of Bifurcated Superstructure of Nonlinear Ocean System (비선형 해양시스템의 분기된 초구조에 대한 연구)

  • 마호성
    • Computational Structural Engineering
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    • v.11 no.1
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    • pp.96-106
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    • 1998
  • 본 연구에서는 복잡한 비선형시스템의 전체적 응답거동의 중요한 (그리고 잠재적으로 유익한) 특성을 상세히 분석하였다. 특히 강성도 및 여기력에 내재된 복잡한 비선형을 소유하는 수중다점계선해양시스템의 분기집합에 내재된 초구조와 혼돈거동의 가능경로에 대하여 해석적 및 수치적으로 분석하였다. 분기는 국부적 안정해석을 통하여 매개변수 영역상에서 확인되었으며, 정상 상태의 분기초구조는 수치해석을 통하여 밝혀졌다. 비선형정도와 해의 차원을 나타내는 공명수를 유도하였으며, 차수공명수를 통해 공명주위의 구조를 밝혔으며 열조화, 울트라조화, 울트라열조화 등과 같은 고도의 비선형 응답의 발생을 예측할 수 있음을 보였다. 결과에서 얻은 초구조는 시스템의 안정성과 이상끌개의 징후를 지배하는 메커니즘임도 밝혔다. 혼돈으로 가는 주기증가의 무한시퀀스에 대한 유연한 변환 외에 돌연한 격발(saddle에 의해 분리된 인접끌개의 충돌)로 인한 혼돈으로의 가능경로도 발견되었으며 이는 수치적으로도 입증되었다.

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Stability of the Divergent Barotropic Rossby-Haurwitz Wave (발산 순압 로스비-하우어비츠 파동의 안정성)

  • Jeong, Han-Byeol;Cheong, Hyeong-Bin
    • Journal of the Korean earth science society
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    • v.37 no.2
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    • pp.107-116
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    • 2016
  • Stability of the barotropic Rossby-Haurwitz wave is investigated using the numerical models on the global domain. The Rossby-Haurwitz wave under investigation is composed of the basic zonal flow of super-rotation and a finite amplitude spherical harmonic wave. The Rossby-Haurwitz wave is given as either steady or unsteady wave by adjusting the strength of the super-rotating zonal flow. Stability as well as the growth rate of the wave in the numerical simulation is determined by comparing the perturbation amplitude at two different time stages. Unstable modes of the Rossby-Haurwitz wave exhibited a horizontal structure composing of various zonal-wavenumber components. The vorticity perturbation for some modes showed a discontinuity around the area of weak flow, which was found robust regardless of the horizontal resolution of the model. Fourier finite element model was shown to generate the unstable mode in earlier stage of the time integration due to less accuracy compared to the spherical harmonic spectral model. Taking the overall accuracy of the models into consideration, the time by which the unstable mode begin to dominate over the spherical harmonic wave was estimated.

2-D Periodic Unsteady Flow Analysis Using a Partially Implicit Harmonic Balance Method (부분 내재적 조화 균형법을 이용한 주기적인 2차원 비정상 유동 해석)

  • Im, Dong-Kyun;Park, Soo-Hyung;Kwon, Jang-Hyuk
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.38 no.12
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    • pp.1153-1161
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    • 2010
  • An efficient solution method for harmonic balance techniques with Fourier transform is presented for periodic unsteady flow problems. The present partially-implicit harmonic balance treats the flux terms implicitly and the harmonic source term is solved explicitly. The convergence of the partially Implicit method is much faster than the explicit Runge-Kutta harmonic balance method. The method does not need to compute the additional flux Jacobian matrix from the implicit harmonic source term. Compared with fully implicit harmonic balance method, this partial approach turns out to have good convergence property. Oscillating flows over NACA0012 airfoil are considered to verify the method and to compare with results of explicit R-K(Runge-Kutta) and dual time stepping methods.

The Restructuring of Textile Industry of Taegu and Local Economic Development Strategies (대구 섬유산업의 재구조화와 지역경제 발전 전략)

  • 이철우;박양춘;박규택
    • Journal of the Korean Geographical Society
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    • v.34 no.2
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    • pp.155-175
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    • 1999
  • 본 연구는 대구 섬유산업의 재구조화를 지역 내.외적 요인들의 관계적 관점에서 분석하고, 이에 기초하여 지역경제 발전전략의 정책적 함의를 도출하기 위해 수행되었다. 1970년대 이후 대구 섬유산업은 정부의 중화학공업 정책과 수출지향적 경제발전 정책에 힘입어 화학섬유 중심의 대량생산과 수출체제를 수립하였다. 노동력 공급의 부족현상이 나타남에 따라 노동력을 안정적으로 확보하기 위해 산업체 특별학급.부설학교와 섬유기술진흥원을 설립하였고 또한 기혼여성 노동력을 활용하기 시작하였다. 그리고 생산시설은 대구시 외곽지역에 집중적으로 입지하였다. 1980년대 중반 이후 대구 섬유산업은 국내.외 환경변화에 따라 구조전환을 시도하고 있다. 지역노동시장에서 저임금 노동력 확보가 어렵게 됨에 따라 자동섬유기계의 도입을 증대시키고 기혼여성과 외국인 노동력을 적극적으로 활용하고 있으며, 자본과 생산시설을 경북이나 해외로 이동시키고 있다. 대구 섬유산업의 재구조화 정책은 섬유업체간에 협력체제의 구축, 노.사공생의 노동제도 확립, 섬유업과 연관된 생산자 서비스업의 육성 등을 중심으로 추진되어야 할 것이다.

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