• 제목/요약/키워드: matrix exponential

검색결과 136건 처리시간 0.026초

4차 Cumulant를 이용한 Matrix Pencil Method (Matrix Pencil Method using Fourth Order Cumulant)

  • 장우진;고진환
    • 대한전자공학회논문지SP
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    • 제43권2호
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    • pp.87-92
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    • 2006
  • Array 신호처리에서 복소 지수함수의 합으로 구성된 신호의 파라미터를 추정하는데 고차 통계를 이용할 수 있다. 본 논문에서는 4차 cumulant를 이용한 고차 Matrix Pencil method(MPM)를 제안하였다. 4차 cumulant는 Gaussian 잡음를 억제할 수 있기 때문에, MPM의 응답은 기존의 방법에 비하여 더 좋은 잡음 면역을 가지고 있다. 본 논문에서는 높은 정확성을 가지는 MPM의 모든 장점을 유지하면서 성공적으로 고차 MPM을 공식화하였다. 그리고 Numerical simulation을 통해서 본 논문에서 제안된 4차 cumulant를 이용한 방법이 Gaussian 잡음환경에서 더 우수한 DOA 분해능을 가지고 있음을 증명하였다.

쌀바구미 개체군(딱정벌레목: 바구미과)의 행렬모형의 일반화와 그의 적용 가능성 (A Generalization of the Matrix Model of Rice Weevil Population (Coeloptera: Curculionidae) and its Applicability)

  • 윤태중;류문일;조혜원
    • 한국응용곤충학회지
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    • 제36권3호
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    • pp.215-223
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    • 1997
  • 온일도(Degree day)를 시간단위로한 쌀바구미의 행렬모형을 작성하였다. 기본행렬모형에서 측정된 계차증가율은 2.155/100DD였으며, 성충밀도는 지수함수적으로 증가하였다. 종내경쟁을 도입한 행렬모형에서 성충밀도는 수렴진동의 형태를 보였으며 69.300일도경에서 530으로 안정되었다. 주어진 실험조건에서 실험개체군의 밀도변동 모형에서 예측되는 것과 유사하였다. 그러나 초기최고밀도와 밀도변동추이에서 양자간에 차이를 보였다. 이는 주로 실험 개체군의 경우 자원의 일정성이 유지되지 않았던 데에서 유기된 결과로 생각된다.

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How to Improve Classical Estimators via Linear Bayes Method?

  • Wang, Lichun
    • Communications for Statistical Applications and Methods
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    • 제22권6호
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    • pp.531-542
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    • 2015
  • In this survey, we use the normal linear model to demonstrate the use of the linear Bayes method. The superiorities of linear Bayes estimator (LBE) over the classical UMVUE and MLE are established in terms of the mean squared error matrix (MSEM) criterion. Compared with the usual Bayes estimator (obtained by the MCMC method) the proposed LBE is simple and easy to use with numerical results presented to illustrate its performance. We also examine the applications of linear Bayes method to some other distributions including two-parameter exponential family, uniform distribution and inverse Gaussian distribution, and finally make some remarks.

Time-Discretization of Delayed Multi-Input Nonlinear System Using A new algorithm

  • 장강;장정;김성중;정길도
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2007년도 심포지엄 논문집 정보 및 제어부문
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    • pp.89-91
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    • 2007
  • In this paper, a new approach for a sampled-data representation of nonlinear system that has time-delayed multi-input is proposed. That is largely devoid of illconditioning and is suitable for any nonlinear problem. The new scheme is applied to nonlinear systems with two or three inputs; and then the delayed multi-input general equation is derived. The method is based on thematrix exponential theory. Itdoes not require excessive computational resources and lends itself to a short and robust piece of software that can be easily inserted into large simulation packages. A performance of the proposed method is evaluated using a nonlinear system with time-delay: maneuvering an automobile.

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Phase-type 수리시간을 갖는 무기체계의 적정예비품수 결정 (The Optimal Spare Level of a Weapon System having Phase-type Repair Time)

  • 윤혁;이상진
    • 경영과학
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    • 제26권3호
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    • pp.145-156
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    • 2009
  • The probability distribution of the repair process should be determined to choose the optimal spare level of a weapon system with a queueing model. Though most weapon systems have a multi-step repair process, previous studies use the exponential distribution for the multi-step repair process. But the PH distribution is more appropriate for this case. We utilize the PH distribution on a queueing model and solve it with MGM(Matrix Geometric Method). We derive the optimal spare level using the PH distribution and show the difference of results between the PH and exponential distribution.

스트레스 한계가 있는 램프시험의 최적설계: 지수수명분포의 경우 (Time-Censored Ramp Tests with Stress Bound for Exponential)

  • 배도선;전영록;차명수
    • 대한산업공학회지
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    • 제22권3호
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    • pp.459-471
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    • 1996
  • This paper considers ramp tests for exponential lifetime distribution when there are limitations on test stress and test time. The inverse power law and a cumulative exposure model are assumed. Maximum likelihood (ML) estimators of model parameters and their asymptotic covariance matrix are obtained. The optimum ramp test plans are also found which minimize the asymptotic variance of the ML estimator of the log mean life at design constant stress. For selected values of the design parameters, tables useful for finding optimal test plans are given. The effect of the pre-estimates of design parameters is studied.

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4차 통계량을 이용한 Matrix Pencil Method (Matrix Pencil Method Using Fourth-order Statistic)

  • 장우진;왕혁소;주위위;고진환
    • 한국통신학회논문지
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    • 제31권6C호
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    • pp.629-636
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    • 2006
  • Array 신호처리에서 복소 지수함수의 합으로 구성된 신호의 파라미터를 추정하는데 고차 통계를 이용할 수 있다. 본 논문에서는 기존의 MPM(matrix pencil method)보다 효과적으로 DOA를 판별하기 위해 MPM에 4차 cumulant와 moment 통계량을 적용하였다. 4차 cumulant 통계량은 선형 배열안테나에 입사하는 신호에 포함된 Gaussian 잡음을 효과적으로 감소시킬 수 있다. Gaussian 잡음이 존재하는 환경에서 기존의 방법과 4차 통계량을 이용한 방법을 시뮬레이션 함으로써 SNR과 DOA 분해능에 대하여 성능을 분석하였다. 결과로써 4차 통계량을 이용한 MPM이 기존의 MPM보다 우수함을 보였으며, 또한 4차 moment보다는 4차 cumulant 적용이 더 우수함을 증명하였다.

미지 입력을 가진 기계 시스템을 위한 비선형 관측기 설계 (Design of a Nonlinear Observer for Mechanical Systems with Unknown Inputs)

  • 송봉섭;이지민
    • 제어로봇시스템학회논문지
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    • 제22권6호
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    • pp.411-416
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    • 2016
  • This paper presents the design methodology of an unknown input observer for Lipschitz nonlinear systems with unknown inputs in the framework of convex optimization. We use an unknown input observer (UIO) to consider both nonlinearity and disturbance. By deriving a sufficient condition for exponential stability in the linear matrix inequality (LMI) form, existence of a stabilizing observer gain matrix of UIO will be assured by checking whether the quadratic stability margin of the error dynamics is greater than the Lipschitz constant or not. If quadratic stability margin is less than a Lipschitz constant, the coordinate transformation may be used to reduce the Lipschitz constant in the new coordinates. Furthermore, to reduce the maximum singular value of the observer gain matrix elements, an object function to minimize it will be optimally designed by modifying its magnitude so that amplification of sensor measurement noise is minimized via multi-objective optimization algorithm. The performance of UIO is compared to a nonlinear observer (Luenberger-like) with an application to a flexible joint robot system considering a change of load and disturbance. Finally, it is validated via simulations that the estimated angular position and velocity provide true values even in the presence of unknown inputs.

유드라짓과 알긴산 나트륨 매트릭스를 이용한 4-Aminopyridine의 서방성 제제설계 (Formulation Design of Sustained-Release Matrix Tablets Containing 4-Aminopyridine)

  • 김정수;김동우;이계원;지웅길
    • Journal of Pharmaceutical Investigation
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    • 제35권6호
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    • pp.453-460
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    • 2005
  • 4-Aminopyridine (AP) is a potassium channel blocker used in the treatment of neurological disorders such as multiple sclerosis and Alzheimer disease. AP‘s window of therapeutic effect appears to correlate with its plasma halflife (3.5 hours). It demonstrates pH-dependent solubility because of a weakly basic drug. In addition, the resulting release from conventional matrix tablets decreases with increasing pH-milieu of the gastrointestinal tract. The aim of this study is to design sustained release matrix tablet containing AP, overcoming this problem. $Eudragit^{\circledR}$ L 100 (EuL) and sodium alginate were used in an effort to achieve pH independent drug release. The effect of sodium alginate and EuL on drug release from matrix tablet was investigated. The drug release behavior from the different tablets was analyzed by $t_{20%},\;t_{40%},\;t_{60%}$, The exponential diffusion coefficient n, kinetic constant K were calculated according to the Korsmeyer-Peppas equation. The drug release from matrix tablets prepared with sodium alginate was decreased with increasing the content of sodium alginate in pH 7.4 while there is no significant difference in pH 1.2. The exponent n values were determined to be approximately 0.5 and 0.8 respectively, in both pH 1.2 and 7.4. These values indicate diffusion-based anomalous mechanism and erosion-based anomalous mechanism, respectively. The drug release from sodium alginate matrix tablets prepared with solid dispersion of EuL containing drug showed a slow drug release in an acidic medium and a more fast drug release in phosphate medium, compared with sodium alginate matrix tablets prepared with physical mixture. These results may be attributed to the gel forming ability of sodium alginate and pH dependent solubility of EuL. Therefore, sustained-release AP matrix tablets using sodium alginate and EuL were successfully prepared.

Ritz법을 이용한 쐐기형 봉의 진동 해석 (Vibration Analysis of Wedge Type Bar by Ritz Method)

  • 박석주
    • Journal of Advanced Marine Engineering and Technology
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    • 제29권8호
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    • pp.877-882
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    • 2005
  • This paper discusses the lateral vibration of a bar which has its tip free. The uniform bar has a solution by summation of some simple exponential functions But if its shape is not uniform, its solution could be by Bessel's function, or mathematical solution could not be existed. Enen if the solution of Bessel's function exists. as Bessel function is a series function. we must got the solution by numerical method Hereby the author Proposes the ununiform beam solution of the matrix method by Ritz's method. and Proposes a new deflection shape function.