• 제어로봇시스템학회논문지
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• 제14권3호
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• pp.226-231
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• 2008

In this paper, we propose novel eigenstructure assignment method in full-state feedback for linear time-invariant MIMO system such that directions of some left eigenvectors are exactly assigned to the desired directions. It is required to consider the direction of left eigenvector in designing eigenstructure of closed-loop system, because the direction of left eigenvector has influence over excitation by associated input variables in time-domain response. Exact direction of a left eigenvector can be achieved by assigning proper right eigenvector set satisfying the conditions of the presented theorem based on Moore's theorem and the orthogonality of left and right eigenvector. The right eigenvector should reside in the subspace given by the desired eigenvalue, which restrict a number of designable left eigenvector. For the two cases in which desired eigenvalues are all real and contain complex number, design freedom of designable left eigenvector are given.

• 한국강구조학회 논문집
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• 제8권3호통권28호
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• pp.21-34
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• 1996

A numerical method is presented for computation of eigenvector derivatives used an iterative procedure with guaranteed convergence. An approach for treating the singularity in calculating the eigenvector derivatives is presented, in which a shift in each eigenvalue is introduced to avoid the singularity. If the shift is selected properly, the proposed method can give very satisfactory results after only one iteration. A criterion for choosing an adequate shift, dependent on computer hardware is suggested ; it is directly dependent on the eigenvalue magnitudes and the number of bits per numeral of the computer. Another merit of this method is that eigenvector derivatives with repeated eigenvalues can be easily obtained if the new eigenvectors are calculated. These new eigenvectors lie "adjacent" to the m (number of repeated eigenvalues) distinct eigenvectors, which appear when the design parameter varies. As an example to demonstrate the efficiency of the proposed method in the case of distinct eigenvalues, a cantilever plate is considered. The results are compared with those of Nelson's method which can find the exact eigenvector derivatives. For the case of repeated eigenvalues, a cantilever beam is considered. The results are compared with those of Dailey's method which also can find the exact eigenvector derivatives. The design parameter of the cantilever plate is its thickness, and that of the cantilever beam its height.

• Journal of applied mathematics & informatics
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• 제33권3_4호
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• pp.247-260
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• 2015

The special form of Schur complement is extended to have a Schur's formula to obtains the explicit formula of determinant, inverse, and eigenvector formula of the doubly Leslie matrix which is the generalized forms of the Leslie matrix. It is also a generalized form of the doubly companion matrix, and the companion matrix, respectively. The doubly Leslie matrix is a nonderogatory matrix.

• 제어로봇시스템학회논문지
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• 제10권2호
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• pp.145-152
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• 2004

In this paper, an S(stochastic)-eigenvalue and its corresponding S-eigenvector concept for linear continuous-time systems with probabilistic uncertainties are proposed. The proposed concept is concerned with the perturbation of eigenvalues due to the stochastic variable parameters in the dynamic model of a plant. An S-eigenstructure assignment scheme via the Sylvester equation approach based on the S-eigenvalue/-eigenvector concept is also proposed. The proposed control design scheme based on the proposed concept is applied to a longitudinal dynamics of an open-loop-unstable aircraft with possible uncertainties in aerodynamic and thrust effects as well as separate dynamic pressure effects. These results explicitly characterize how S-eigenvalues in the complex plane may impose stability on the system.

• 대한전기학회논문지:전력기술부문A
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• 제48권8호
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• pp.958-964
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• 1999

The distance in load parameter space to the closest saddle node bifurcation (CSNB) point provides the worst case power margin to voltage instability and the left eigenvector at CSNB identifies the most effective direction to steer the system to maximize voltage stability under contingency. This paper presents an improved direct method for computing CSNB: the order of nonlinear systems equations is reduced to about twice of the size of load flow equations in contrast to about three-times in Dobson's direct method; the initial guess for the direct method is computed efficiently and robustly by combined use of continuation power flow, a pair of multiple load flow solution with Lagrange interpolation. It is also shown that voltage stability may be enhanced significantly with shift of generations in the direction of the left eigenvector at CSNB.

• 한국정밀공학회지
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• 제17권11호
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• pp.129-139
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• 2000

The problem of eigenvalue and eigenvector is obtained from a V-notched crack in pseudo-isotropic dissimilar materials by the traction free boundary and the perfect bonded interface conditions. The complex stress function is assumed as the two-term William's type. The eigenvalue is solved by a commercial numerical program, MATHEMATICA to discuss stress singularities for V-notched cracks in pseudo-isotropic dissimilar materials. The RWCIM(Reciprocal Work Contour Integral Method) is applied to the determination to eigenvector coefficients associated with eigenvalues. The RWCIM algorithm is also coded by the MATHEMATICA.

• Journal of Mechanical Science and Technology
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• 제18권6호
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• pp.933-945
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• 2004

In this paper, S (stochastic)-eigenvalue concept and its S-eigenvector for linear continuous-time systems with probabilistic uncertainties is proposed. The proposed concept is concerned with the perturbation of eigenvalues due to the probabilistic variable parameters in the dynamic model of a plant. S-eigenstructure assignment scheme via the Sylvester equation approach based on the S-eigenvalue concept is also proposed. The proposed design schemes are illustrated by numerical examples, and applied to the longitudinal dynamics of open-loop-unstable aircraft with possible uncertainties in aerodynamic and thrust effects as well as separate dynamic pressure. These results explicitly characterize how S-eigenvalues in the complex plane may impose stability on S-eigenstructure assignment.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 2003년도 ICCAS
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• pp.7-12
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• 2003

In this paper, S(stochastic)-eigenvalue concept and its S-eigenvector for linear continuous-time systems with probabilistic uncertainties are proposed. The proposed concept is concerned with the perturbation of eigenvalues due to the probabilistic variable parameters in the dynamic model of a plant. S-eigenstructure assignment scheme via the Sylvester equation approach based on the S-eigenvalue concept is also proposed. The proposed design scheme is applied to the longitudinal dynamics of open-loop-unstable aircraft with possible uncertainties in aerodynamic and thrust effects as well as separate dynamic pressure.

• 한국음향학회지
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• 제25권1호
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• pp.36-42
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• 2006

본 논문에서는 화자검증 시스템의 성능향상을 위해서 주성분 분석 (PCA) 기반 Mel-Frequency Discrete Wavelet Coefficients (MFDWC) 추출방법을 제안한다. 제안된 방법에서는 멜척도 (Mel-scale)를 근사화한 각 레벨 (level)의 각 노드 (node) 에너지를 계산하기 위해 기존의 평균치 대신 주성분 분석을 이용한 첫 번째 eigenvector를 이용한다. 이 eigenvecto.의 제곱의 합은 1로서 일반적인 가중 함수 (weighting function)의 조건을 만족하고, 또한 각 화자마다 서로 다른 값을 갖게 되므로, 화자의 특징을 더 잘 나타내는 MFDWC를 추출할 수 있다. 화자검증은 Gaussian Mixture Model (GMM) 기반의 백그라운드 모델과 화자 모델과의 점수를 비교하는 이진 결정 (binary decision) 방법을 이용하여 Universal 백그라운드 모델 (UBM)과 각 화자 모델의 값을 프레임단위로 비교하여 대상 화자의 수락/거부 여부를 결정하는 방법을 채택하였다. 특징 파라미터에 따른 화자 검증 성능변화를 확인하기 위하여 제안된 화자종속 가중함수를 이용한 MFDWC를 특징 파라미터로 이용한 경우와 Mel-Frequency Cepstral Coefficients (MFCC), Linear Predictive Cepstral Coefficients (LPCC), 기존의 MFDWC를 특징 파라미터로 이용한 경우에 대하여 성능비교실험을 수행한 결과 각각 $0.80\%,\;5.14\%,\; 6.69\%$의 향상된 성능을 나타내어 제안한 방법의 유효성을 확인할 수 있었다.

• 콘크리트학회지
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• 제6권3호
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• pp.180-189
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• 1994

모드좌표를 이용한 R/C 골조구조물의 근사적인 비선형 동적해석법을 제안하였다. 과거에도 비선형 문제를 푸는데 있어서 모드좌표에서의 해석이 부분적으로 이용되어 왔으나 각 하중증분에 따른 구조물의 강성변화로 인하여 고유치를 재계산하여야 하기 때문에 그리 널리 사용되지 못하였다. 여기서 제안된 방법은 동적해석 수행중에 산정된 제한된 수만의 고유치를 산정하였다. 그리하여 일정한 수의 고유치만으로 동적해석에서 반복하여 사용하였다. 부재의 소성힌지영역에서의 강성변화 및 핀치효과등을 부재의 이력모델에 의해서 표현되었으며 이러한 알고리즘은 휨변형이 지배하는 R/C 골조구조물의 예비해석에 유용하게 사용될 수 있다. 본 연구에서는 철근콘크리트 부재의 비선형 구조모델의 구성방법 및 그 특성 그리고 모드해석법의 알고리즘을 제안하고 그 효율성을 입증하였다.