• Title/Summary/Keyword: linear system

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Linear system on the fano threefold

  • Shin, Dong-Kwan
    • Communications of the Korean Mathematical Society
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    • v.11 no.2
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    • pp.385-390
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    • 1996
  • Let X be a smooth projective threefold whose anticanonical division $-K_X$ is ample, i.e., Fano threefold. In this paper, we studied the linear system $$\mid$-nK_X$\mid$$ for a positive integer n. In Theorem 4, we studied the cases that $\-nK_X$\mid$$ has no base-points and the cases that $$\mid$-nK_X$\mid$$ generate the birational map. In Proposition 5, we studied the possible exceptional cases given in Theorem 4. Some results in this paper are already known, but we have gave brief proofs for those results.

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A UNITARY LINEAR SYSTEM ON THE BIDISK

  • Yang, Meehyea;Hong, Bum-Il
    • Honam Mathematical Journal
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    • v.29 no.4
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    • pp.511-521
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    • 2007
  • Let S($z_1$, $z_2$) be a power series with operator coefficients such that multiplication by 5($z_1$, $z_2$) is a contractive transformation in the Hilbert space $\mathbf{H}_2$($\mathbb{D}^2$, C). In this paper we show that there exists a Hilbert space D($\mathbb{D}$,$\bar{S}$) which is the state space of extended canonical linear system with a transfer fucntion $\bar{S}$(z).

Dimming control system of stage lighting by using LED (LED에 의한 무대조명의 조도제어 시스템)

  • Park, Chong-Yeun;Lee, Kyu-Min
    • Journal of Industrial Technology
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    • v.30 no.B
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    • pp.109-112
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    • 2010
  • Unlike the general lighting systems, stage lighting system requires accurate dimming control and reduction of flicker phenomenon. In this paper, we studied PWM dimming control and linear voltage level control methods. PWM Dimming is easy control and flicker phenomenon of linear voltage level dimming does not happen by experiment result. We concluded that stage lighting dimming system required to combine two techniques of the PWM and linear voltage level dimming control method.

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Guaranteed Performance Control of Uncertain Linear Systems via Constant Gain State Feedback (고정이득 상태귀환을 통한 불확정 선형 시스템의 성능보장제어)

  • 이정문;최계근
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.24 no.6
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    • pp.956-960
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    • 1987
  • This paper investigates the control problem which is specified by an uncertain linear system and a linear quadratic performance index. Only the size of parameter uncertainty is assumed to be given instead of its statistics. In addition, a mathing condition which constrains the system structure is assumed to be satisfied. The control law can be obtained by solving an LQ optimal control problem for a nominal system.

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An experimental study on parallel implementation of an iterative method for large scale, sparse linear system (반복기법을 이용한 대규모, 소선형시스템의 병렬처리에 관한 연구)

  • 김상원;장수영
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 1991.10a
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    • pp.6-22
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    • 1991
  • This thesis presents a parallel implementation of an iterative method for large scale, sparse linear system and gives result of computational experiments performed on both single transputer and multi transputer parallel computers. To solve linear system, we use conjugate gradient method and develope data storage techinique, data communication scheme. In addition to the explanation of conjugate gradient method, the result of computational experiment is summarized.

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Stabilization of Piecewise-Linear Systems with Unknown Switching Information

  • Lee, G.D.;Kim, S.W.
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.533-533
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    • 2000
  • Stabilization of piecewise-linear systems with unknown switching information is presented. The current subsystem is identified from the output, and the identified subsystem is used for the observer-based control. The stability of the overall system is proven and the performance is evaluated via a simulation.

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NUMERICAL SOLUTIONS FOR MODELS OF LINEAR ELASTICITY USING FIRST-ORDER SYSTEM LEAST SQUARES

  • Lee, Chang-Ock
    • Korean Journal of Mathematics
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    • v.7 no.2
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    • pp.245-269
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    • 1999
  • Multigrid method and acceleration by conjugate gradient method for first-order system least squares (FOSLS) using bilinear finite elements are developed for various boundary value problems of planar linear elasticity. They are two-stage algorithms that first solve for the displacement flux variable, then for the displacement itself. This paper focuses on solving for the displacement flux variable only. Numerical results show that the convergence is uniform even as the material becomes nearly incompressible. Computations for convergence factors and discretization errors are included. Heuristic arguments to improve the convergences are discussed as well.

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Automatic Optimum Control of the Traffic Signal Lights (교통신호의 자동최적제어에 관한 연구)

  • 양흥석;김호윤
    • 전기의세계
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    • v.20 no.4
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    • pp.12-16
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    • 1971
  • The electrical detector and computer systems for traffic flow and speed measurement are demonstrated in this paper. For the best traffic control optimization, linear and non-linear equations in the transition state are dealing with the perturbation of the linear car-following. In the conclusions, we construct a realizable system for the central automatic traffic control with a computer. Furthermore, fixed periodic switching system by manual with the automatic traffic control system is recommended for emergency perturbation.

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Application of H¡? Controller Design Method to a Linear Singularly Perturbed System (H$\infty$ 제어기 설계법의 선형 특이섭동 시스템에의 적용)

  • Yoo, Seog-Hwan
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.43 no.4
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    • pp.648-657
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    • 1994
  • This paper presents a solution of the H$\infty$ control problem for a linear singularly perturbed system. A sufficient condition for a linear singularly perturbed system to achieve the prescribed disturbance attenuation level is obtained. Based upon this sufficient condition, an H$\infty$ controller design method which involves the solutions of two generalized algebraic Riccati equations(GRE) is developed.

Characteristic Analysis of Permanent-Magnet Linear Eddy-Current Brake System According to Magnetization Pattern (자화패턴에 따른 영구자석 직선형 와전류 제동장치의 특성 해석)

  • 이성호;조한욱;장석명
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.52 no.9
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    • pp.427-433
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    • 2003
  • Permanent magnet movers with three different magnetization patterns were applied to a linear eddy current braking system. By using a two-dimensional analytical technique, this paper deals with the comparison of the design guidelines, magnetic field, required magnet volume, and force capability for three types of linear brakes. The analytical results are also verified by finite element analyses.