• Title/Summary/Keyword: Error Estimates

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FINITE ELEMENT APPROXIMATION AND COMPUTATIONS OF BOUNDARY OPTIMAL CONTROL PROBLEMS FOR THE NAVIER-STOKES FLOWS THROUGH A CHANNEL WITH STEPS

  • Lee, Hyung-Chun;Lee, Yong-Hun
    • Journal of the Korean Mathematical Society
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    • v.36 no.1
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    • pp.173-192
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    • 1999
  • We study a boundary optimal control problem of the fluid flow governed by the Navier-Stokes equations. the control problem is formulated with the flow through a channel with steps. The first-order optimality condition of the optimal control is derived. Finite element approximations of the solutions of the optimality system are defined and optimal error estimates are derived. finally, we present some numerical results.

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A criterion for selecting sensor outputs in bearing estimation algorithm without eigendecomposition (고유치분해가 필요없는 방위각 추정 알고리듬에서 센서신호의 선택기준)

  • 정대원;박상배;이균경
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.70-75
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    • 1993
  • The performance of the BEWE(Bearing Estimation Without Eigendecomposition) algorithm depends on the sensor outputs which are selected to construct the projection matrix. In this paper, we construct the covariance matrix of the bearing estimates for two targets and propose the criterion to select the sensor outputs which minimize the covariance matrix. The computer simulation conforms that the estimation error is smallest when the sensor outputs are selected based on the proposed criterion.

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A New Variant of Correlation Approach for ARMA Model Identification

  • Seong, Sang-Man
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.1903-1906
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    • 2005
  • We proposed a new variant of correlation approach for ARMA model. The proposed method is is intended to make the current prediction error uncorrelated with the past one. In the investigation of the properties, the uniqueness, consistency and asymptotic normality of the estimate are shown. Via simulation results, we show that the proposed method give good estimates for various systems.

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Mobile Robot Navigation in an Indoor Environment

  • Choi, Sung-Yug;Lee, Jang-Myung
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.1456-1459
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    • 2005
  • To compensate the drawbacks, a new localization method that estimates the global position of the mobile robot by using a camera set on ceiling in the corridor is proposed. This scheme is not a relative localization, which decreases the position error through algorithms with noisy sensor data. The effectiveness of the proposed localization scheme is demonstrated by the experiments.

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IMPROVED CONVERGENCE RESULTS FOR GENERALIZED EQUATIONS

  • Argyros, Ioannis K.
    • East Asian mathematical journal
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    • v.24 no.2
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    • pp.161-168
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    • 2008
  • We revisit the study of finding solutions of equations containing a differentiable and a continuous term on a Banach space setting [1]-[5], [9]-[11]. Using more precise majorizing sequences than before [9]-[11], we provide a semilocal convergence analysis for the generalized Newton's method as well the generalized modified Newton's method. It turns out that under the same or even weaker hypotheses: finer error estimates on the distances involved, and an at least as precise information on the location of the solution can be obtained. The above benefits are obtained under the same computational cost.

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Fast iterative image restoration algorithms based on preconditioning (전처리기를 사용한 반복적 영상복원의 고속화 기법)

  • 백준기;문준일;김상구
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.33B no.12
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    • pp.62-70
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    • 1996
  • Image restoration is the process which estimates the original image form the blurred image observed by the non-ideal imaging system with additivenoise. According to the regularized approach, the resotred image can be obtained by iterative methods or the constrained least square error(CLS) filter. Among those retoratin methods, despite of many advantages, iterative iamge restoration is limited in use because of slow convergence. In the present paper, fast iterative image restoration algorithms based on preconditoning are proposed. The preconditioner can be obtained by using the characteristics finite impulse response (FIR) filter structure.

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Time-Varying Multipath Channel Estimation with Superimposed Training in CP-OFDM Systems

  • Yang, Qinghai;Kwak, Kyung-Sup
    • ETRI Journal
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    • v.28 no.6
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    • pp.822-825
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    • 2006
  • Based on superimposed training methods, a novel time-varying multipath channel estimation scheme is proposed for orthogonal frequency division multiplexing systems. We first develop a linear least square channel estimator, and meanwhile find the optimal superimposed sequences with respect to the channel estimates' mean square error. Next, a low-rank approximated channel estimator is obtained by using the singular value decomposition. As demonstrated in simulations, the proposed scheme achieves not only better performance but also higher bandwidth efficiency than the conventional pilot-aided approach.

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ESTRPOLATED CRANK-NICOLSON APPROXIMATION FOR A LINEAR STEFAN PROBLEM WITH A FORCING TERM

  • Ahn, Min-Jung;Lee, Hyun-Young
    • Journal of applied mathematics & informatics
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    • v.8 no.3
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    • pp.795-809
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    • 2001
  • In this paper, we apply finite element Galerkin method to a single-ohase linear Stefan problem with a forcing term. We apply the extrapolated Crank-Nicolson method to construct the fully discrete approximation and we derive optimal error estimates in the temporal direction in $L^2$, $H^1$ spaces.

A new AR power spectral estimation technique using the Karhunen-Loeve Transform (KLT를 이용한 AR 스펙트럼 추정기법에 관한 연구)

  • 공성곤;양흥석
    • 제어로봇시스템학회:학술대회논문집
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    • 1986.10a
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    • pp.134-136
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    • 1986
  • In this paper, a new power spectral estimation technique is presented. At first, by transforming the original data with the Karhunen-Loeve Transform(KLT), we can reduce the amount of the redundant information. Next, by modeling the transformed data by means of the autoregressive(AR) model and then applying the least-squares parameter estimation algorithm to this model, even more accurate spectrum estimates can be obtained. The KLT is the optimum transform for signal representation with respect to the mean-square error criterion. And the least-squares method is used to overcome the inherent shortcomings of popular burg algorithm.

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