• 소음진동
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• 제9권5호
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• pp.928-935
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• 1999

Vertical pumps are widely used owing to the fact that they occupy small floor space. In this type of pumps, however, the vibrational problems are very important, since, in many cases, they have less stiffness in comparison with lateral pumps. This study presents a simple solution method for calculating the natural frequencies and modes of vertical pumps. In this study, a mode of a vertical pump was developed and the nondimensional parameters for the vibrational characteristics of it were determined. Added mass was calculated for the effects of water and the transfer matrix method was used.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제24권4호
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• pp.191-200
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• 2017

The theory of $u_0-positive$ operators is applied to obtain smallest eigenvalue comparison results for right focal boundary value problems of Atici-Eloe fractional difference equations.

• 대한전기학회:학술대회논문집
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• 대한전기학회 1997년도 하계학술대회 논문집 A
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• pp.12-14
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• 1997

The analysis of eigenvalue and eigenvector is a crucial procedure for many electromagnetic computation problems. However, eigenpair computation is timing-consuming task. Thus, its parallelization is required for designing large-scale and precision three-dimensional electromagnetic machines. In this paper, the Davidson method is parallelized on a cluster of workstations. Performance of the parallelization scheme is reported. This scheme is applied to a ridged waveguide design problem.

• 한국지능시스템학회:학술대회논문집
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• 한국퍼지및지능시스템학회 2005년도 춘계학술대회 학술발표 논문집 제15권 제1호
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• pp.185-188
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• 2005

This paper suggests a control method for efficient topology/parameter evolution in a bond-graph-based GP design framework that automatically synthesizes designs for multi-domain, lumped parameter dynamic systems, We adopt a hierarchical breeding control mechanism with fitness-level-dependent differences to obtain better balancing of topology/parameter search - biased toward topological changes at low fitness levels, and toward parameter changes at high fitness levels. As a testbed for this approach, an eigenvalue assignment problem, which is to find bond graph models exhibiting minimal distance errors from target sets of eigenvalues, was tested and showed improved performance for various sets of eigenvalues.

• 충청수학회지
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• 제30권4호
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• pp.397-409
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• 2017

In this paper, we investigated the extinction, positivity, and decay estimates of the solutions to the initial-boundary value problem of the semilinear parabolic equation with nonlinear gradient source and interior absorption terms by using the integral norm estimate method. We found that the decay estimates depend on the choices of initial data, coefficients and domain, and the first eigenvalue of the Laplacean operator with homogeneous Dirichlet boundary condition plays an important role in the proofs of main results.

• 대한전기학회:학술대회논문집
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• 대한전기학회 1999년도 하계학술대회 논문집 G
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• pp.2872-2875
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• 1999

본 논문은 주어진 적합한 이진 패턴들의 집합이 점근적으로 안정한 평형점들로써 저장되는 최적으로 성능을 갖는 GBSB (generalized brain-state-in-a-box)의 설계가 고려된다. GBSB 모델의 정성적 특성에 기초하여, 설계 문제가 제약 조건을 가한 최적화 문제로 공식화된다. 다음으로, 우리는 이 문제를 GEVP (generalized eigenvalue Problem)라고 불리는 최적화 문제로 변환한다. 제안된 방법을 예증하기 위함과 기존의 방법과의 비교를 위해서 설계 예제가 주어진다.

• 소음진동
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• 제10권1호
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• pp.138-143
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• 2000

Longitudinal vibration of an axially moving material is investigated by using the assumed modes method. To circumvent a difficulty in choosing the comparison functions which satisfy the boundary conditions, the assumed modes method is adopted by which equations of motion are discretized. Based on the discretized equations, the complex eigenvalue problem is solved and then the effects of the translating velocity on the natural frequencies and modes are analyzed.

• 대한수학회지
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• 제53권5호
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• pp.969-990
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• 2016

We derive a sampling theorem associated with first order self-adjoint eigenvalue problem with a finite rank perturbation. The class of the sampled integral transforms is of finite Fourier type where the kernel has an additional perturbation.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 1993년도 한국자동제어학술회의논문집(국제학술편); Seoul National University, Seoul; 20-22 Oct. 1993
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• pp.100-104
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• 1993

In Part 1, we derived robust stability conditions for an LTI interconnected to time-varying nonlinear perturbations belonging to several classes of nonlinearities. These conditions were presented in terms of positive definite solutions to LMI. In this paper we address a problem of synthesizing feedback controllers for linear time-invariant systems under structured time-varying uncertainties, combined with a worst-case H$_{2}$ performance. This problem is introduced in [7, 8, 15, 35] in case of time-invariant uncertainties, where the necessary conditions involve highly coupled linear and nonlinear matrix equations. Such coupled equations are in general difficult to solve. A convex optimization approach will be employed in this synthesis problem in order to avoid solving highly coupled nonlinear matrix equations that commonly arises in multiobjective synthesis problem. Using LMI formulation, this convex optimization problem can in turn be cast as generalized eigenvalue minimization problem, where an attractive algorithm based on the method of centers has been recently introduced to find its solution [30, 361. In the present paper we will restrict our discussion to state feedback case with Popov multipliers. A more general case of output feedback and other types of multipliers will be addressed in a future paper.

• 한국통신학회논문지
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• 제33권12C호
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• pp.1082-1087
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• 2008

MIMO 시스템에서 ML 검출 기법은 많은 다른 검출기들보다 우수한 성능을 보인다. 그러나 ML 검출기법은 NP-hard 문제로 인해 실제 시스템에서 사용하기 어려운 단점을 가지고 있다. 이것은 polynomial-time 안에 최적의 해 (optimal solution)를 찾을 수 없음을 의미한다. 본 논문에서는 ML problem을 적용한 SDR (Semi-Definite Relaxation)에 궤환기법을 통한 검출 알고리즘을 제안한다. 이는 SDR에 의해 구한 최적의 해를 spectral decomposition을 이용해 우세한 eigenvector를 찾아 송신 신호의 확률 분포를 구하고, 이를 수신 신호에 궤환 시킨다. 이는 또 다른 ML problem으로써 다시 SDR를 통해 최적의 해를 구하고 우세한 eigenvector에 해당하는 송신 신호 확률을 구한다. 이 확률은 ML problem에 해당하는 최적의 값으로 추정 송신 신호를 검출할 수 있다. 이러한 기법을 통해 최적 성능을 갖는 ML 검출 기법의 성능에 보다 더 가깝게 접근하였다.