• 제목/요약/키워드: Matrix exponential

검색결과 132건 처리시간 0.055초

Compound Poisson 수요를 갖는 CONWIP 시스템의 근사적 분석 (Approximate Analysis of a CONWIP system with Compound Poisson Demands)

  • 이정은;이효성
    • 한국경영과학회지
    • /
    • 제23권3호
    • /
    • pp.153-168
    • /
    • 1998
  • In this study we consider a CONWIP system in which the processing times at each station follow an exponential distribution and the demands for the finished Products arrive according to a compound Poisson process. The demands that are not satisfied instantaneously are assumed to be backordered. For this system we develop an approximation method to obtain the performance measures such as steady state probabilities of the number of parts at each station, the proportion of backordered demands, the average number of backordered demands and the mean waiting time of a backordered demand. For the analysis of the proposed CONWIP system, we model the CONWIP system as a closed queueing network with a synchronization station and analyze the closed queueing network using a product form approximation method. A matrix geometric method is used to solve the subnetwork in the application of the product-form approximation method. To test the accuracy of the approximation method, the results obtained from the approximation method were compared with those obtained by simulation. Comparisons with simulation have shown that the approximate method provides fairly good results.

  • PDF

샘플치 $H_{\infty}$ 문제: 최악의 외란의 폐경로 표현을 통한 등가의 이산시간 시스템 구현 (The Sampled-Data $H_{\infty}$ Problem: Obtaining an equivalent discrete-time system via a closed-loop expression of worst-case disturbance)

  • 공민종;조창호;이상철;조도현;이상효
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 2000년도 제15차 학술회의논문집
    • /
    • pp.340-340
    • /
    • 2000
  • This paper aims at deriving an equivalent finite dimensional discrete-time system for H$_{\infty}$ type problem for sampled-data control systems. A widely used ph is based on the lifting technique, but it needs somewhat complicate computation. Instead this paper derives an equivalent finite-dimensional discrete-time system directly from a description of the sampled-data system which is achieved via a closed-loop expression of the worst-case intersample disturbance.

  • PDF

THE DIMENSION REDUCTION ALGORITHM FOR THE POSITIVE REALIZATION OF DISCRETE PHASE-TYPE DISTRIBUTIONS

  • Kim, Kyung-Sup
    • Journal of the Korean Society for Industrial and Applied Mathematics
    • /
    • 제16권1호
    • /
    • pp.51-64
    • /
    • 2012
  • This paper provides an efficient dimension reduction algorithm of the positive realization of discrete phase type(DPH) distributions. The relationship between the representation of DPH distributions and the positive realization of the positive system is explained. The dimension of the positive realization of a discrete phase-type realization may be larger than its McMillan degree of probability generating functions. The positive realization with sufficient large dimension bound can be obtained easily but generally, the minimal positive realization problem is not solved yet. We propose an efficient dimension reduction algorithm to make the positive realization with tighter upper bound from a given probability generating functions in terms of convex cone problem and linear programming.

하이드로릭 마운트가 장착된 지지계의 고유치 해석 (Eigen-Analysis of Engine mount system with Hydraulic Mount)

  • 고강호;김영호
    • 소음진동
    • /
    • 제10권5호
    • /
    • pp.800-805
    • /
    • 2000
  • To determine the modal matrix and modal frequency of engine mount system, we most solve so-called eigen-value problem. However eigen-value problem of engine mount system with hydraulic mount can not be solved by general eigne-analysis algorithm because the properties of hydraulic mount vary with frequency. so in this paper the method for modal analysis of rigid body motions of an engine supported by hydraulic mount is proposed. Natural frequencies and mode shapes of this nonlinear system are obtained by using complex exponential method and Laplace transformation method. In time domain, impulse response functions are calculated by (two-sided) discrete inverse Fourier Transformation of forced frequency response functions achieved by Laplace transformation of the differential equation of motion. Considering the fact that frequency response functions synthesized by modal parameters form proposed method are in good agreement with original FRFs, it is proved that the proposed method is very efficient and useful for the analysis of eigne-value problem of hydraulic engine mount system.

  • PDF

Ritz법에 의한 비균일 단면 외팔보의 횡진동 해석 (Lateral Vibration Analysis of a Nonuniform Beam by Ritz's Method)

  • 박석주
    • 한국소음진동공학회논문집
    • /
    • 제17권10호
    • /
    • pp.946-949
    • /
    • 2007
  • This paper discusses the lateral vibration of a beam with boundary condition of one end fixed and the other end free. The uniform beam 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 exist. Even if the solution of Bessel's function exists, as Bessel function is a series function, we must get the solution by numerical method. Author had proposed the solution of the matrix method by Ritz's method and a new mode shape function, and had earned the good results for a wedge beam. Hereby a vibration analysis for the tapered beam with circle cross section was executed, and so good results were showed.

A new algorithm applied in Control-Relevant Discretization of Nonlinear Systems

  • Zhang, Qiang;Zhang, Changlei;Gao, Yu;Chong, Kil-To
    • 대한전자공학회:학술대회논문집
    • /
    • 대한전자공학회 2006년도 하계종합학술대회
    • /
    • pp.905-906
    • /
    • 2006
  • In this paper, we propose an attractive novel numerical int egration method that is largely devoid of ill conditioning and is suitable for any nonlinear problem. Since the method is exact for linear problems, it is especially precise for quasilinear problems, which are frequently encountered in the real world. The method is based on a new approach to the computat ion of a matrix exponential. It does 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.

  • PDF

접지면 위 도선에 대한 고고도 전자기 펄스 신호의 결합 특성 분석 (Analysis of Characteristics of the HEMP Coupling Signal for a Line Over Ground)

  • 이진호;권준혁;신규범;강래충
    • 한국군사과학기술학회지
    • /
    • 제13권6호
    • /
    • pp.1172-1179
    • /
    • 2010
  • Since HEMP has the very short rising time and propagates widespreadly with several tens of kV/m, it threatens most of systems in its cover range. Therefore, it is important to research coupling mechanism into systems and establish countermeasures for the HEMP to protect systems effectively. This paper analyzed characteristics and trends of currents to be induced at the load of a line which is located over ground with different conditions such as polarization, incidence angle, line length and height etc. We applied double exponential waveform as the HEMP shape and used BLT method to analyze the coupling route into the line. Also, we compared the simulation data of chain matrix modeling to verify reliability of BLT modeling. In the result, two data is almost agreed.

High b-value Diffusion Study of Normal Brain at 3 Tesla

  • 이영주;손철호;황문정;배성진;장용민
    • 대한자기공명의과학회:학술대회논문집
    • /
    • 대한자기공명의과학회 2002년도 제7차 학술대회 초록집
    • /
    • pp.83-83
    • /
    • 2002
  • 목적: 현재 임상적으로 사용되고 있는 확산경사자장의 세기 이상( > 1200)의 강한 확산 경사자장이 가해진 경우 뇌구조물들의 확산계수값을 조사하고 고자장(Bo = 3T)에서 이러한 강한 확산 경사자장을 이용하는 경우 1.5T에서 시행하는 경우와의 차이점을 비교 연구해보고자 하였다. 대상 및 방법: 정상 성인 3명을 대상으로 b-value를 0부터 3500까지 변화시키며 확산강조영상을 최대경사자장 40 mT/m, slew rate 150 T/m/s의 경사자장계가 장착된 3T MR scanner (General Electric, USA)에서 획득하였다. 사용한 펄스열은 Stejskal-Tanner type의 확산강조 경사자장이 포함된 single-shot SE EPI를 사용하였으며 영상획득시 사용한 파라미터는 다음과 같다. TR/TE= 10000/95.1, Thickness/space=512mm, FOV=24$\times$21cm, Matrix=128$\times$128, NEX=1 뇌구조물들에 관심 영역을 설정하고 b-value에 따른 신호감소를 측정하였다. 측정된 데이터를 hi-exponential decay 모델을 이용하여 분석하였다.

  • PDF

Flexural free vibration of cantilevered structures of variable stiffness and mass

  • Li, Q.S.
    • Structural Engineering and Mechanics
    • /
    • 제8권3호
    • /
    • pp.243-256
    • /
    • 1999
  • Using appropriate transformations, the differential equation for flexural free vibration of a cantilever bar with variably distributed mass and stiffness is reduced to a Bessel's equation or an ordinary differential equation with constant coefficients by selecting suitable expressions, such as power functions and exponential functions, for the distributions of stiffness and mass. The general solutions for flexural free vibration of one-step bar with variable cross-section are derived and used to obtain the frequency equation of multi-step cantilever bars. The new exact approach is presented which combines the transfer matrix method and closed form solutions of one step bars. Two numerical examples demonstrate that the calculated natural frequencies and mode shapes of a 27-storey building and a television transmission tower are in good agreement with the corresponding experimental data. It is also shown through the numerical examples that the selected expressions are suitable for describing the distributions of stiffness and mass of typical tall buildings and high-rise structures.

적응추정자에 대한 파라메터 수렴속도의 해석 (Analysis of the Parameter Convergence Rate for an Adaptive Identifier)

  • Kim, Sung-Duck
    • 대한전기학회논문지
    • /
    • 제38권2호
    • /
    • pp.127-136
    • /
    • 1989
  • This paper describes the parameter convergence properties of an adaptive system to identify a single-input single-output plant model. It is demonstrated that, by using power spectrum analysis, the persistency of excitation (PE) condition in order to guarantee the exponential stability of the adaptive control system can be transformed into the positive definite behavior for the auto-correlation function matrix of adaptive signal. The existence of parameter nominal values can be analyzed by this condition and the convergence rates of parameter are determined by examining the auto-correlation function. We may use the sufficient richness (SR) of input spectrum instead of the PE condition to analyze the parameter boundedness. It can be shown that the eigen values of the auto-correlation function are always related with adaptive gain, input amplitude and positions or numbers of input spectra. In each case, the variation of parameter convergence rate can be also verified.

  • PDF