• 제어로봇시스템학회논문지
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• 제9권8호
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• pp.616-622
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• 2003

This paper deals with the problem of estimating the asymptotic stability region(ASR) of uncertain variable structure systems with bounded controllers. Using linear matrix inequalities(LMIs) we estimate the ASR and show the exponential stability of the closed-loop control system in the estimated ASR. We give a simple LMI-based algorithm to get estimates of the ASR. We also give a synthesis algorithm to design a switching surface which will make the estimated ASR big. Finally, we give numerical examples in order to show that our method can give better results than the previous ones for a certain class of uncertain variable structure systems with bounded controllers.

• 제어로봇시스템학회논문지
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• 제12권6호
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• pp.524-529
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• 2006

In this paper, we propose a method to design variable structure systems with sliding sector for multi-input multi-output systems with mismatched uncertainties in the state matrix. For the uncertain systems we define sliding sectors within which a norm of the state decreases with zero input despite of mismatched uncertainties. Using the notion of the sliding sector we give simple design algorithms of variable structure control laws that can reduce the chattering. Finally, we give a design example in order to show the effectiveness of our method.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제13권11호
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• pp.5616-5630
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• 2019

Fully homomorphic encryption allows a third-party to perform arbitrary computation over encrypted data and is especially suitable for secure outsourced computation. This paper investigates secure outsourced computation of multiple matrix multiplication based on fully homomorphic encryption. Our work significantly improves the latest Mishra et al.'s work. We improve Mishra et al.'s matrix encoding method by introducing a column-order matrix encoding method which requires smaller parameter. This enables us to develop a binary multiplication method for multiple matrix multiplication, which multiplies pairwise two adjacent matrices in the tree structure instead of Mishra et al.'s sequential matrix multiplication from left to right. The binary multiplication method results in a logarithmic-depth circuit, thus is much more efficient than the sequential matrix multiplication method with linear-depth circuit. Experimental results show that for the product of ten 32×32 (64×64) square matrices our method takes only several thousand seconds while Mishra et al.'s method will take about tens of thousands of years which is astonishingly impractical. In addition, we further generalize our result from square matrix to non-square matrix. Experimental results show that the binary multiplication method and the classical dynamic programming method have a similar performance for ten non-square matrices multiplication.

• 한국통신학회논문지
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• 제32권4C호
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• pp.440-446
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• 2007

본 논문은 엘레멘트 인버스 처리에 근거한 재킷 변환을 통한 DFT 행렬의 새로운 표현을 다룬다. DFT 행렬의 역을 단지 재킷 변환의 소행렬 분해에 따라 표현하며 이러한 결과는 DFT 행렬의 역이 단지 이의 희소 행렬과 치환 행렬에만 관련됨을 보여준다. 재킷 행렬을 통한 DFT 행렬의 분해는 블록 변조 특성을 나타내는 강한 기하 구조를 갖는다. 이는 재킷 행렬을 통해 분해된 DFT 행렬은 블록 변조 과정으로 해석할 수 있음을 의미한다.

• Journal of the Korean Data and Information Science Society
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• 제22권4호
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• pp.727-733
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• 2011

주식수익률간의 상관행렬 분석을 통해 유의미한 정보를 추출 활용하는 것은 주식시장을 이해하는데 매우 중요하다. 최근 확률행렬이론을 이용 상관행렬을 분석하는 연구들이 많이 진행되어 왔는데, 본 논문에서는 단일 요인 모형을 확률행렬이론에 적용 한국주식시장에서 주식수익률간의 상관행렬에 관한 유의미한 정보를 추출하였다. 특히 단일 요인을 도입 상관행렬을 분석한 결과가 실제 데이터를 잘 설명함을 관찰하였고, 단일 요인 모형의 유용성을 확인하였다.

• 한국전자파학회논문지
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• 제24권10호
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• pp.1001-1007
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• 2013

다수의 저궤도 위성을 운영하는 경우, 위성별 운영 궤도에 의해서 지리적으로 고정된 하나의 지상국은 2개 이상의 위성과 통신을 해야 하는 상황이 발생된다. 일반적으로 위성에서 관측된 영상 데이터를 수신 및 처리하는 시스템은 위성별로 다를 뿐만 아니라, 1:1 백업 구성을 함으로써 지상 수신 안테나가 한정되어 설치된 지상국에서는 위성의 수가 많아질수록 데이터 전달을 위한 안테나에서 영상 수신 처리 시스템 간의 접속 설계가 복잡해지는 문제가 발생된다. 본 논문에서는 2개의 위성에 대해 동시 운영이 가능하며, 위성별 영상데이터 저장장치를 연결함으로써 확장이 가능한 매트릭스 구조의 수신 채널 구현 내용이 작성되어 있다. 구현된 수신 채널은 다목적실용위성 3호 발사 이후에 운영 검증을 완료하였으며, 확장 기능을 통해 추후 발사될 5호와 3A호에 대해서도 적용할 예정이다.

• 한국건축시공학회지
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• 제16권2호
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• pp.151-159
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• 2016

건설프로젝트에서 요구되는 중요한 장비 중 하나는 타워크레인 이다. 특히, 대부분의 고층건물 공사에서는 자재들의 이동작업들을 수행하기 위해 타워크레인이 더욱 요구되어진다. 따라서 타워크레인의 양중계획은 공사기간과 비용의 측면에서도 중요하다 할 수 있다. 하지만, 건설현장 대부분의 양중계획은 여전히 합리적인 작업의 분석없이 현장 관리자들의 경험과 직관에 의존하여 행해지고 있다. Dependency structure matrix (DSM)는 CPM과 Pert 같은 기존의 툴과는 다르게 작업 활동 순서 계획과 정보관리를 하는데 있어서 유용한 툴이다. 본 연구는 타워크레인의 양중 관리를 향상시키기 위하여 실제 건설 현장의 Case study를 통해 타워크레인 양중관리의 새로운 틀을 DSM을 이용하여 제시 할 것이다. DSM을 이용한 T/C의 양중계획의 Case study를 통해 나타난 결과는 기준층 양중 계획에 있어서 T/C의 양중계획을 최적화 시키는데 매우 유용하다는 결론을 보여주었다.

• Smart Structures and Systems
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• 제32권1호
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• pp.1-7
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• 2023

In modal analysis, the mode shape reflects the vibration characteristics of the structure, and thus it is widely performed for finite element model updating and structural health monitoring. Generally, the acceleration-based mode shape is suitable to express the characteristics of structures for the translational vibration; however, it is difficult to represent the rotational mode at boundary conditions. A tilt sensor and gyroscope capable of measuring rotational mode are used to analyze the overall behavior of the structure, but extracting its mode shape is the major challenge under the small vibration always. Herein, we conducted a feasibility study on a multi-mode shape estimating approach utilizing a single physical quantity signal. The basic concept of the proposed method is to receive multi-metric dynamic responses from two sensors and obtain mode shapes through bridge loading test with relatively large deformation. In addition, the linear transformation matrix for estimating two mode shapes is derived, and the mode shape based on the gyro sensor data is obtained by acceleration response using ambient vibration. Because the structure's behavior with respect to translational and rotational mode can be confirmed, the proposed method can obtain the total response of the structure considering boundary conditions. To verify the feasibility of the proposed method, we pre-measured dynamic data acquired from five accelerometers and five gyro sensors in a lab-scale test considering bridge structures, and obtained a linear transformation matrix for estimating the multi-mode shapes. In addition, the mode shapes for two physical quantities could be extracted by using only the acceleration data. Finally, the mode shapes estimated by the proposed method were compared with the mode shapes obtained from the two sensors. This study confirmed the applicability of the multi-mode shape estimation approach for accurate damage assessment using multi-dimensional mode shapes of bridge structures, and can be used to evaluate the behavior of structures under ambient vibration.

• 대한수학회논문집
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• 제11권4호
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• pp.1159-1174
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• 1996

The spectrum of the Laplacian matrix of a graph gives an information of the structure of the graph. For example, the product of non-zero eigenvalues of the characteristic polynomial of the Laplacian matrix of a graph with n vertices is n times of the number of spanning trees of that graph. The characteristic polynomial of the Laplacian matrix of a graph tells us the number of spanning trees and the connectivity of given graph. in this paper, we compute the characteristic polynomial of the Laplacian matrix of a graph bundle when its voltage lie in an abelian subgroup of the full automorphism group of the fibre; in particular, the automorphism group of the fibre is abelian. Also we study a relation between the characteristic polynomial of the Laplacian matrix of a graph G and that of the Laplacian matrix of a graph bundle over G. Some applications are also discussed.

• Structural Engineering and Mechanics
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• 제46권1호
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• pp.1-17
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• 2013

In this study, the modified finite element- transfer matrix methods are proposed for free vibration analysis of asymmetric structures, the bearing system of which consists of shear wall-frames. In the study, a multi-storey structure is divided into as many elements as the number of storeys and storey masses are influenced as separated at alignments of storeys. The shear walls and frames are assumed to be flexural and shear cantilever beam structures. The storey stiffness matrix is obtained by formulating the governing equation at the center of mass for the shear walls and the frames in the i.th floor. The system transfer matrix is constructed in the dimension of $6{\times}6$ by transforming the obtained stiffness matrix. Thus, the dimension, which is $12n{\times}12n$ in classical finite elements, is reduced to the dimension of $6{\times}6$. To study the suitability of the method, the results are assessed by solving two examples taken from the literature.