• Title/Summary/Keyword: 행렬식

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Numerical Simulation of Acoustic Radiation and Fluid/Structure Interaction Based on the Helmholtz Integral Equation (헬름홀쯔 적분 방정식에 기반을 둔 구조물의 음향방사 및 구조/음향 연성 수치해석)

  • Choi, Sung-Hoon
    • The Journal of the Acoustical Society of Korea
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    • v.27 no.8
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    • pp.411-417
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    • 2008
  • An alternative formulation of the Helmholtz integral equation derived to express the pressure field explicitly in terms of the velocity vector of a radiating surface is used to solve acoustic radiation and fluid/structure interaction problems. This formulation, derived for arbitrary sources, is similar in form to the Rayleigh's formula for planar sources. Because the surface pressure field is expressed explicitly as a surface integral of the surface velocity, which can be implemented numerically using standard Gaussian quadratures, there is no need to use BEM to solve a set of simultaneous equations for the surface pressure at the discretized nodes. Furthermore the non-uniqueness problem inherent in methods based on Helmholtz integral equation is avoided. Validation of this formulation is demonstrated for some simple geometries.

Determination of Minimum Spacing between Off-ramp Terminus and Intersection Considering the Influence of Adjacent Signalized Intersections (신호교차로 영향에 따른 도시고속도로 유출연결로 최소이격거리에 관한 연구)

  • Kim, Sang-Gu;Sim, Dae-Yeong;Heo, Du-Wan
    • Journal of Korean Society of Transportation
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    • v.25 no.4
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    • pp.79-87
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    • 2007
  • The interchanges of urban freeways have many problems with traffic operation due to high off-ramp flows and frequent congestion at adjacent intersections. The flow exiting from off-ramps is affected by the operational status and traffic volume conditions of the nearest signalized intersection. As a result, off-ramp flow cannot exit and the queue backs up the freeway mainline when queues from the signalized intersection form up to the junction of the off-ramp and street. The spacing between an off-ramp and an adjacent intersection is likely to determine the traffic conditions at the adjacent intersection. However, the current design guidelines do not consider such a factor. This study is to develop a model calculating the spacing between off-ramps and adjacent intersections considering the signal, traffic, and road conditions. The variables affecting the model in this study are effective green time (g/C), volume-capacity ratio (v/c), the number of lanes, and off-ramp volume. Various scenarios are designed to represent the effects of the variables and the road networks are constructed using VISSIM, which is a common traffic micro-simulation software package. The queue length is derived from VISSIM and this length is considered as the recommended spacing between the off-ramp and the adjacent intersection. Through the simulation analysis, regression models are developed to calculate the queue length reflecting the various conditions such as signals, traffic, and road configurations. The developed model can be used to create road design guidelines to determine the location of off-ramps in the planning stage.

Selection of the Optimal Traffic Counting Links using Integer Program Method for Improving the Estimation of Origin Destination Matrix (기종점 OD행렬의 추정력 향상을 위한 교통량 관측구간 선정)

  • Lee, Heon-Ju;Lee, Seung-Jae;Park, Yong-Kil
    • Journal of Korean Society of Transportation
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    • v.22 no.6
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    • pp.57-66
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    • 2004
  • When we estimate an origin-destination matrix from traffic counts. origin-destination matrix estimation from traffic counts according to the selected optimal traffic counting links is method for improving the results of origin-destinaation matrix estimation and for increasing economic efficiency. This paper proposed model of selecting traffic counting links using integer program technique, and selected a traffic counting links using this model, and estimated and origin-destingtion matrix from traffic counts according to the selected optimal traffic counting links. Also, we compared a result of estimating origin-destination matrix from the selected optimal traffic counting links using this model to a result of estimating origin-destination matrix from the randomly selected traffic counting links. The error analysis result was more improved a result of origin-destination matrix estimation using this model than a result of randomly selected links.

Robust Digital Redesign for Observer-based System (관측기 기반 시스템에 대한 강인 디지털 재설계)

  • Seong, Hwa-Chang;Ju, Yeong-Hun;Park, Jin-Bae
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2007.04a
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    • pp.193-196
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    • 2007
  • 본 논문은 관측기 기반 시스템에 대한 강인 디지털 재설계 방안을 제안한다. 디지털 재설계란, 기존의 안정화된 연속시간 플랜트와 이산 시간에서 설계된 디지털 제어기와의 상태 접합 및 안정도 분석을 통해 전체 시스템을 재구성 하는 것을 말한다. 그리고 전 역적 접근을 위한 방안으로서 문제를 볼록 최적화 관점으로 변환 후, 에러가 가질 수 있는 놈의 영역을 최소화 하여 상태 접합을 이루고자 하였다. 본 논문에서는 관측기 기반 시스템에 대한 디지털 재설계를 목표로 하되, 추가적인 파라미터 불확실성을 고려한 강인 디지털 재설계를 구성하게 된다. 파라미터 불확실성은 이산화 과정에서 구조적 형태가 변화하기 때문에, 이를 고려하여 주어진 식을 선형 행렬 부등식 형태로 나타내게 된다. 이 조건들을 통해 디지털 재설계의 상태 접합 및 안정도가 유도 가능하다는 것을 본 논문에서 증명하게 된다.

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Delay-Dependent Criterion for Asymptotic Stability of Neutral Systems with Nonlinear Perturbations (비선형 섭동을 갖는 뉴트럴 시스템의 점근 안정을 위한 지연시간 종속 판별식)

  • Park, Ju-Hyeon
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.37 no.6
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    • pp.1-6
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    • 2000
  • In this paper, the problem of the stability analysis for linear neutral delay-differential systems with nonlinear perturbations is investigated. Using Lyapunov second method, a new delay-dependent sufficient condition for asymptotic stability of the systems in terms of linear matrix inequalities (LMIs), which can be easily solved by various convex optimization algorithms, is presented. A numerical example is given to illustrate the proposed method.

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Decentralized fuzzy output feedback controller for nonlinear interconnected system with time delay (시간 지연이 있는 비선형 상호 결합 시스템의 분산 퍼지 출력 궤환 제어기 설계)

  • Gu, Geun-Beom;Ju, Yeong-Hun;Park, Jin-Bae
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2008.04a
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    • pp.377-380
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    • 2008
  • 본 논문은 시간 지연을 가지는 비선형 상호 결합 시스템에 대한 분산 퍼지 출력 궤환 제어기를 제시한다. Takagi-Sugeno (T-S) 퍼지 모델링을 통하여 비선형 상호 결합 시스템을 퍼지 모델로 표현한다. 상호 결합 시스템의 하위 퍼지 시스템을 안정화 시킬수 있는 분산 출력 궤한 제어기를 설계한다. 폐루프 하위 시스템들의 안정도 조건을 선형 행렬 부등식으로 나태내고, 부등식을 이용하여 제어기의 이득값을 구한다. 모의실험을 통하여 시간 지연이 있는 비선형 상호 결합 시스템에 대한 분산 퍼지 출력 궤한 제어기의 효용성을 평가한다.

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A Study of Multi-Target tracking for Radar application (레이더 응용을 위한 다중표적 추적 연구)

  • Lee Yang Weon
    • Journal of the Institute of Convergence Signal Processing
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    • v.1 no.2
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    • pp.138-144
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    • 2000
  • This paper introduced a scheme for finding an optimal association matrix that represents the relationships between the measurements and tracks in multi-target tracking of Radar system. We considered the relationships between targets and measurements as MRF and assumed a priori of the associations as a Gibbs distribution. Based on these assumptions, it was possible to reduce the MAP estimate of the association matrix to the energy minimization problem. After then, we defined an energy function over the measurement space, that may incorporate most of the important natural constraints.

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Vibration Intensity Analysis of Penetration Beam-plate Coupled Structures (관통보와 평판의 연결 구조물에 대한 진동인텐시티 해석)

  • 홍석윤;강연식
    • The Journal of the Acoustical Society of Korea
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    • v.21 no.1
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    • pp.73-81
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    • 2002
  • The transmission of vibration energy through beam-plate junctions in vibration intensity analysis called power new analysis (PFA) has been studied. PFA is an analytic tool for the prediction of frequency averaged vibration response of built-up structures at medium to high frequency ranges. The power transmission and reflection coefficients between the semi-infinite beam and plate are estimated using the wave transmission approach. For the application of the power coefficients to practical complex structures, the numerical methods, such as finite element method are needed to be adapted to the power flow governing equation. To solve the discontinuity of energy density at the joint, joint matrix is developed using energy flow coupling relationships at the beam-plate joint. Using the joint matrix developed in this paper, an idealized ship stem part is modeled with finite element program, and vibration energy density and intensity are calculated.

Derivation of Reverse-Time Migration Operator as Adjoint Operation (어드조인트 연산으로서의 역시간 구조보정 연산자 유도)

  • Ji, Jun
    • Geophysics and Geophysical Exploration
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    • v.10 no.2
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    • pp.111-123
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    • 2007
  • Unlike the conventional reverse time migration method which is implemented by simply extrapolating wavefield in reverse time, this paper presents a derivation of another reverse time migration operator as the exact adjoint of the presumed forward wavefield extrapolation operator. The adjoint operator is obtained by formulating the forward time extrapolation operator in an explicit matrix equation form and then taking the adjoint to this matrix equation followed by determining the corresponding operator. The reverse time migration operator as the exact adjoint to the implied forward operator can be used not only as a migration algorithm but also as an adjoint operator which is required in the imaging through an inversion such as least-squares migration.

Low-complexity Sensor Selection Based on QR factorization (QR 분해에 기반한 저 복잡도 센서 선택 알고리즘)

  • Yoon Hak, Kim
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.27 no.1
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    • pp.103-108
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    • 2023
  • We study the problem of selecting a subset of sensor nodes in sensor networks in order to maximize the performance of parameter estimation. To achieve a low-complexity sensor selection algorithm, we propose a greedy iterative algorithm that allows us to select one sensor node at a time so as to maximize the log-determinant of the inverse of the estimation error covariance matrix without resort to direct minimization of the estimation error. We apply QR factorization to the observation matrix in the log-determinant to derive an analytic selection rule which enables a fast selection of the next node at each iteration. We conduct the extensive experiments to show that the proposed algorithm offers a competitive performance in terms of estimation performance and complexity as compared with previous sensor selection techniques and provides a practical solution to the selection problem for various network applications.