• 제목/요약/키워드: piecewise constant parameters

검색결과 7건 처리시간 0.024초

IDENTIFIABILITY FOR COMPOSITE STRING VIBRATION PROBLEM

  • Gutman, Semion;Ha, Jun-Hong
    • 대한수학회지
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    • 제47권5호
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    • pp.1077-1095
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    • 2010
  • The paper considers the identifiability (i.e., the unique identification) of a composite string in the class of piecewise constant parameters. The 1-D string vibration is measured at finitely many observation points. The observations are processed to obtain the first eigenvalue and a constant multiple of the first eigenfunction at the observation points. It is shown that the identification by the Marching Algorithm is continuous with respect to the mean convergence in the admissible set. The result is based on the continuous dependence of eigenvalues, eigenfunctions, and the solutions on the parameters. A numerical algorithm for the identification in the presence of noise is proposed and implemented.

Mazimum Principle을 이용한 원자로의 시간 최적제어 (Time Optimal Control of the Nuclear Reactor Using the Maximum Principle)

  • 곽은호
    • 대한전자공학회논문지
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    • 제11권3호
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    • pp.27-31
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    • 1974
  • Pontryagin의 최대원리의 놀라운 방식을 써서 원자로에 있어서 최적제어 switching시간과 최적제초 switching 점을 구하였다. 그리고 원자로의 초기상태에서 그의 목표상태로 출력을 변환시킬 때의 제어궤적을 시간최적제어 방식을 이용하여 주어진 원자로의 parameter 값과 piecewise constant 입력값에 따라 최적화 시켰다.

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3원 변량분석을 이용한 구분적으로 일정한 모델의 에너지 함수 최소화를 위한 매개변수들 추정 (The Estimation of Parameters to minimize the Energy Function of the Piecewise Constant Model Using Three-way Analysis of Variance)

  • 주기세;조덕상;서재형
    • 한국항행학회논문지
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    • 제16권5호
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    • pp.846-852
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    • 2012
  • 영상분할 결과는 알고리즘에 관련된 매개변수들에 따라 다르기 때문에 최적 분할을 위하여 시행 착오법이 많이 이용된다. 본 논문에서는 3차원 변량 분석법을 이용하여 영역기반 active contour 방법에 관련된 최적 매개변수들을 결정하는 방법을 제안한다. 3원 변량 분석법에 의해서 추출된 결과와 사용자가 영상에서 직접 그린 결과가 상호 비교된다. 마지막으로 각 매개변수들의 주요 효과와 상호작용 효과를 측정하고 최적 값을 추출하기 위하여 점 추정 및 구간 추정 값을 계산한다. 본 논문에서 제안한 방법은 구간 상수 모델을 대상으로 영상분할시 최적 매개변수들을 추출하는데 큰 도움을 줄 것이다.

Transient diffusion approximation for $M/G/m/N$ queue with state dependent arrival rates

  • Shin, Yang-Woo
    • 대한수학회논문집
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    • 제10권3호
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    • pp.715-733
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    • 1995
  • We present a transient queue size distribution for $M/G/m/N$ queue with state dependent arrival rates, using the diffusion process with piecewise constant diffusion parameters, with state space [0, N] and elementary return boundaries at x = 0 and x = N. The model considered here contains not only many basic model but the practical models such as as two-node cyclic queue, repairmen model and overload control in communication system with finite storage buffer. For the accuracy check, we compare the approximation results with the exact and simulation results.

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3차원 정적 집중하중을 받는 복합 탄성 케이블의 정적 해석 (Analytic Investigation of Multi-Component Elastic Cables under 3-D Concentrated Static Loads)

  • 최윤락
    • 한국해양공학회지
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    • 제28권3호
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    • pp.193-198
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    • 2014
  • An elastic cable with piecewise constant properties under the action of concentrated static loads is studied analytically. Analytic solutions for catenary cables are combined at the discontinuous points caused by the discontinuous elastic properties or concentrated loads. The application of the boundary conditions at both ends of the multi-component cable results in three algebraic non-linear equations for three unknown parameters, which are determined numerically. The solutions for the shape, tension, elongation, and cross-sectional contraction of the cable are expressed in closed forms. Some examples are given for cases of two- and three-dimensional loads.

Robust Control of Multi-Echelon Production-Distribution Systems with Limited Decision Policy (II)- Numerical Simulation-

  • Jeong, Sang-Hwa;Oh, Yong-Hun;Kim, Sang-Suk
    • Journal of Mechanical Science and Technology
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    • 제14권4호
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    • pp.380-392
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    • 2000
  • A typical production-distribution system consist of three main echelons representing the retailer, distributors, and a factory each with an on-site warehouse. The system is sufficiently general and realistic to represent many industrial situations. However, decision functions and parameters have been selected to apply particularly to the production and distribution of consumer durables. The flows included in the model are materials, orders, and those information flows needed to support the material and order-rate decisions. In this work, a realistic production-distribution system has been used as a basic model, which consists of three sectors: retailer, distributor, and factory. That system is a nonlinear 25th-order continuous system interconnected between the echelons. Using a modern control algorithm, a typical multi-echelon production-distribution system using a dynamic controller is numerically simulated in the nominal plant and in the perturbed plant when the piecewise constant manufacturing decision is limited by a factory manufacturing upper-limit due to capital equipment, manpower, and factory lotsize.

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Recovery of 3-D Motion from Time-Varying Image Flows

  • Wohn, Kwang-Yun;Jung, Soon-Ki
    • Journal of Electrical Engineering and information Science
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    • 제1권2호
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    • pp.77-86
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    • 1996
  • In this paper we deal with the problem of recovering 3-D motion and structure from a time-varying 2-D velocity vector field. A great deal has been done on this topic, most of which has concentrated on finding necessary and sufficient conditions for there to be a unique 3-D solution corresponding to a given 2-D motion. While previous work provides useful theoretical insight, in most situations the known algorithms have turned out to be too sensitive to be of much practical use. It appears that any robust algorithm must improve the 3-D solutions over time. As a step toward such algorithm, we present a method for recovering 3-D motion and structure from a given time-varying 2-D velocity vector field. The surface of the object in the scene is assumed to be locally planar. It is also assumed that 3-D velocity vectors are piecewise constant over three consecutive frames (or two snapshots of flow field). Our formulation relates 3-D motion and object geometry with the optical flow vector as well as its spatial and temporal derivatives. The linearization parameters, or equivalently, the first-order flow approximation (in space and time) is sufficient to recover rigid body motion and local surface structure from the local instantaneous flow field. We also demonstrate, through a sensitivity analysis carried out for synthetic and natural motions in space, that 3-D motion can be recovered reliably.

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