• Title/Summary/Keyword: discrete model

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Analysis of Real-time Error for Geo/D/1/1 Model (Geo/D/1/1 모형에서의 실시간 원격 추정값의 오차 분석)

  • Yutae, Lee
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.27 no.1
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    • pp.135-138
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    • 2023
  • In this paper, we study real-time error in the context of monitoring a binary information source through a delay system. To derive the average real-time error, we model the delay system as a discrete time Geo/D/1/1 queueing model. Using a discrete time three-dimensional Markov chain with finite state space, we analyze the queueing model. We also perform some numerical analysis on various system parameters: state transition probabilities of binary information source; transmission times; and transmission frequencies. When the state changes of the information source are positively correlated and negatively correlated, we investigate the relationship between transmission time and transmission frequency.

MULTIPLE VALUED ITERATIVE DYNAMICS MODELS OF NONLINEAR DISCRETE-TIME CONTROL DYNAMICAL SYSTEMS WITH DISTURBANCE

  • Kahng, Byungik
    • Journal of the Korean Mathematical Society
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    • v.50 no.1
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    • pp.17-39
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    • 2013
  • The study of nonlinear discrete-time control dynamical systems with disturbance is an important topic in control theory. In this paper, we concentrate our efforts to multiple valued iterative dynamical systems, which model the nonlinear discrete-time control dynamical systems with disturbance. After establishing the validity of such modeling, we study the invariant set theory of the multiple valued iterative dynamical systems, including the controllability/reachablity problems of the maximal invariant sets.

ON THE LIMITING DIFFUSION OF SPECIAL DIPLOID MODEL IN POPULATION GENETICS

  • CHOI, WON
    • Bulletin of the Korean Mathematical Society
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    • v.42 no.2
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    • pp.397-404
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    • 2005
  • In this note, we characterize the limiting diffusion of a diploid model by defining the discrete generator for the resealed Markov chain. We conclude that this limiting diffusion model is with uncountable state space and mutation selection and special 'mutation or gene conversion rate'.

Deep Water Wave Model for the East Sea (東海에서의 파랑추산을 위한 심해파랑모형에 대한 연구)

  • Yoon, Jong-Tae
    • Journal of Ocean Engineering and Technology
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    • v.13 no.2 s.32
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    • pp.116-128
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    • 1999
  • A deep water wave prediction model applicable to the East Sea is presnted. This model incorporates rediative transter of energy specrum, atmospheric input form the wind, nonlinear interaction, and energy dissipation by white capping. The propagation scheme by Gadd shows satisfactory results and the characteristics of the nonlinear interaction is simulated well by discrete interaction approximatiion. The application of the model to the sea around the Korean Peninsula shows reasonable agreement with the observation.

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Runoff Analysis Using the Discrete, Linear, Input-Output Model (선형 이산화 입력-출력 모형에 의한 유출해석)

  • Kwak, Ki Seok;Kang, In Shik;Jeong, Yeon Tae;Kang, Ju Bok
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.4
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    • pp.859-866
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    • 1994
  • It is difficult to make an exact estimate of the peak discharge or the runoff depth of flood and establish the proper measure for the flood protection since the water stage or discharge has been nearly measured at most medium or small river basins. The objective of this study is to estimate parameters of the discrete, linear, input-output model for medium or small river basin. The On-Cheon River basin in Pusan was selected for the study area. The runoff data used in the study has been observed since June 1993, and the effective rainfall was determined using the storage function method. The parameter sets of the discrete, linear, input-output model were estimated using the least squares method and the correlation function method, respectively. The calculated hydrographs by the discrete, linear, input-output model regenerated the observed outflow hydrographs well, and also the simulated flood hydrograph was comparable to the observed one. Therefore, it is believed that the discrete, linear, input-output model is simpler than other runoff analysis methods, and can be applied to a medium or small river basin.

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A study on the Discrete-Time Adaptive Control for Robot Maninpulator (로보트 매니퓰레이터의 이산 시간 적응제어에 관한 연구)

  • Sung, Kwan-Young;Lee, Un-Cheol;Yoo, Jae-Guen;Nam, Moon-Hyun
    • Proceedings of the KIEE Conference
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    • 1991.07a
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    • pp.777-780
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    • 1991
  • The practical implementation of model reference adaptive systems(MRAS) using digital computer requires the derivation of discrete-time adaptation laws. This is specially important in the case of direct driver robot and light weight manipulator where inertia changes ang gravity effects are significant. We develope a discrete-time model reference adaptive control scheme for trajectory tracking of robot manipulator. Instead of the conventional Lyapunov approach hyperstabillty theory is more appealing than the Lyapunov approach. It is better suited to discrete time systems and offers more flexibility in design by providing additional free design parameters.

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Object-Oriented Simulation of Container Terminal using a DEVS Formalism (DEVS 형식론을 이용한 컨테이너터미널의 객체지향 시뮬레이션에 관한 연구)

  • 성경빈;정희균;박용욱;이철영
    • Journal of Korean Port Research
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    • v.14 no.1
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    • pp.47-55
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    • 2000
  • In order to cope with the changes of container terminal situation in these days, many simulation studies for container terminal have been accomplished. But previous simulation studies using simulation language have limitations in model representation and difficulties in modeling of large scaled container terminal system. To make these problems better, this paper addresses an object-oriented simulation of container terminal system using a DEVS formalism. The DEVS(Discrete Event System Specification) formalism, developed by Zeigler, supports specification of discrete event system in a hierarchical and modular manner. The formalism provides a mathematical basis for studying discrete event systems with better understood and sounder semantics. In a step of system modeling, a DEVS formalism aims at the exact system modeling that has a basis of semantics and utilizing the object-oriented manner can flexibly cope with the changes of system environment. In this study a model is developed and verified through the simulation of some alternatives.

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Calculation of granular flow with DEM(Discrete Element Method) (DEM(Discrete Element Method)를 사용한 분체 유동해석)

  • Choi J. W.;Sah J. Y.
    • 한국전산유체공학회:학술대회논문집
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    • 1998.11a
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    • pp.197-203
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    • 1998
  • The discrete element method is a numerical model capable of describing the mechanical behaviour of assemblies of discs and spheres. The method is based on the use of an explicit numerical scheme in which the interaction of the particles is monitored contact by contact and the motion of the particles modelled particle by particle. In this paper, A two-dimensional model for computing contacts and motions of granular particles of unform, inelasticity is presented. And, code is developed. The primary aim of this paper is to approv computational result of continuum alaysis which is on processing. The end of this paper, that code is tested with several examples.

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A Derivation of ROM and Its Application to Design of Discrete PID Controller using DWT (DWT를 이용한 ROM 유도 및 이산 PID 제어기 설계에의 적용)

  • 김윤상;오현철;안두수
    • Journal of Institute of Control, Robotics and Systems
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    • v.4 no.5
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    • pp.579-584
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    • 1998
  • This paper presents an efficient algorithm which determines the parameters of discrete PID controller. The proposed algorithm is an algebraic method to obtain controller parameters using ROM(Reduced Order Model), which can not only make design procedure simple but also reduce the computational burden required for controller implementation. Also, by solving a set of linear equations based on least squares method, the proposed method can make the controller design procedure systematic. Simple examples are given to demonstrate the effectiveness of our method when compared with widely-used conventional method.

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Modelling dowel action of discrete reinforcing bars for finite element analysis of concrete structures

  • Kwan, A.K.H.;Ng, P.L.
    • Computers and Concrete
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    • v.12 no.1
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    • pp.19-36
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    • 2013
  • In the finite element analysis of reinforced concrete structures, discrete representation of the steel reinforcing bars is considered advantageous over smeared representation because of the more realistic modelling of their bond-slip behaviour. However, there is up to now limited research on how to simulate the dowel action of discrete reinforcing bars, which is an important component of shear transfer in cracked concrete structures. Herein, a numerical model for the dowel action of discrete reinforcing bars is developed. It features derivation of the dowel stiffness based on the beam-on-elastic-foundation theory and direct assemblage of the dowel stiffness matrix into the stiffness matrices of adjoining concrete elements. The dowel action model is incorporated in a nonlinear finite element program based on secant stiffness formulation and application to deep beams tested by others demonstrates that the incorporation of dowel action can improve the accuracy of the finite element analysis.