• Title/Summary/Keyword: Non-linear Function

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Multi-variate Fuzzy Polynomial Regression using Shape Preserving Operations

  • Hong, Dug-Hun;Do, Hae-Young
    • Journal of the Korean Data and Information Science Society
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    • v.14 no.1
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    • pp.131-141
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    • 2003
  • In this paper, we prove that multi-variate fuzzy polynomials are universal approximators for multi-variate fuzzy functions which are the extension principle of continuous real-valued function under $T_W-based$ fuzzy arithmetic operations for a distance measure that Buckley et al.(1999) used. We also consider a class of fuzzy polynomial regression model. A mixed non-linear programming approach is used to derive the satisfying solution.

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Robust Digital Nonlinear Friction Compensation - Theory (견실한 비선형 마찰보상 이산제어 - 이론)

  • 강민식;김창제
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.4
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    • pp.88-96
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    • 1997
  • This paper suggests a new non-linear friction compensation for digital control systems. This control adopts a hysteresis nonlinear element which can introduce the phase lead of the control system to compensate the phase delay comes from the inherent time delay of a digital control. A proper Lyapunov function is selected and the Lyapunov direct method is used to prove the asymptotic stability of the suggested control.

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BALANCEDNESS AND CONCAVITY OF FRACTIONAL DOMINATION GAMES

  • Kim, Hye-Kyung;Fang Qizhi
    • Bulletin of the Korean Mathematical Society
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    • v.43 no.2
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    • pp.265-275
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    • 2006
  • In this paper, we introduce a fractional domination game arising from fractional domination problems on graphs and focus on its balancedness and concavity. We first characterize the core of the fractional domination game and show that its core is always non-empty taking use of dual theory of linear programming. Furthermore we study concavity of this game.

Comparison of the trajectory optimization methods for multi-stage solid boost launcher (다단 고체연료 우주발사체의 비행궤적 최적화기법 비교)

  • 진재현;탁민제
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.413-418
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    • 1991
  • Two methods are applied to the problem of trajectory optimization for launch vehicles which burn solid propellant. One is 'Optimal Control' theory, the other is 'NonLinear Programming' method. Trajectory optimization for solid rocket motors has a special problem. The special problem is that the payload of launch vehicle is not the function of control variable. This paper deals with this special problem.

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Correlation Based Image Registration for Pressure Sensitive Paint (PSP를 이용한 압력측정에서의 상관법에 의한 이미지 등록)

  • Park Sang-Hyun;Sung Hyung Jin
    • 한국가시화정보학회:학술대회논문집
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    • 2003.11a
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    • pp.63-66
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    • 2003
  • A new algorithm, CBIR (Correlation Based Image Registration) was proposed to improve the resolution of image registration for PSP (Pressure Sensitive Paint). The local displacement vectors were obtained by finding the displacement which maximizes the cross-correlation between two interrogation windows of 'wind-off' and 'wind-on' images. A recursive multigrid processing was employed to increase the non-linear spatial resolutions. The variations of image were precisely measured without identifying the control points.

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Control of Nonlinear System using WAVENET (WAVENET을 이용한 비선형 시스템의 제어)

  • Park, Doo-Hwan;Kim, Kyung-Yup;Lee, Joon-Tark
    • Proceedings of the Korean Society of Marine Engineers Conference
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    • 2005.06a
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    • pp.257-261
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    • 2005
  • The helicopter system is non-linear and complex. Futhermore, because of absence of accurate mathematical model, it is difficult accurately to control its attitude. therefore, we propose a WAVENET control technique to control efficiently its elevation angle and azimuth one. Wavelet neural network(WAVENET) can construct systematically initial neural network as applying wavelet theory to feedforward network. It is proved through computer simulation that WAVENET has more excellent approximation capability than existing neural network. The simulation results using MATLAB are introduced.

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A Model for Optimizing Configurations of the Elevator Systems (엘리베이터 시스템 설치 사양의 최적화를 위한 모델)

  • Lee Yeong-Hae;Lee Jae-Bong
    • Journal of the military operations research society of Korea
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    • v.15 no.1
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    • pp.95-111
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    • 1989
  • A mixted integer non-linear programming model which has the object function as minimizing building costs, and constraints with the functions for carrying capacity and service level of queueing time is developed. By using the proposed model, the most adequate on a building and the most economical elevator's specifications could be determined by sequential search method like complex method.

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PARAMETER IDENTIFICATION FOR NONLINEAR VISCOELASTIC ROD USING MINIMAL DATA

  • Kim, Shi-Nuk
    • Journal of applied mathematics & informatics
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    • v.23 no.1_2
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    • pp.461-470
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    • 2007
  • Parameter identification is studied in viscoelastic rods by solving an inverse problem numerically. The material properties of the rod, which appear in the constitutive relations, are recovered by optimizing an objective function constructed from reference strain data. The resulting inverse algorithm consists of an optimization algorithm coupled with a corresponding direct algorithm that computes the strain fields given a set of material properties. Numerical results are presented for two model inverse problems; (i)the effect of noise in the reference strain fields (ii) the effect of minimal reference data in space and/or time data.

Correlation-Based Image Registration for Pressure Measurements Using Pressure-Sensitive Paint (PSP 압력측정을 위한 상관법에 의한 이미지 등록)

  • Park, Sang-Hyun;Sung, Hyung-Jin
    • Proceedings of the KSME Conference
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    • 2004.04a
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    • pp.1778-1782
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    • 2004
  • A new algorithm, CBIR (Correlation-Based Image Registration) was proposed to improve the resolution of image registration for PSP (Pressure-Sensitive Paint). The local displacement vectors were obtained by finding the displacement which maximizes the cross-correlation between two interrogation windows of 'wind-off' and 'wind-on' images. A recursive multigrid processing was employed to increase the non-linear spatial resolutions. The variations of image were precisely measured without identifying the control points.

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STABILITY PROPERTIES IN IMPULSIVE DIFFERENTIAL SYSTEMS OF NON-INTEGER ORDER

  • Kang, Bowon;Koo, Namjip
    • Journal of the Korean Mathematical Society
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    • v.56 no.1
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    • pp.127-147
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    • 2019
  • In this paper we establish some new explicit solutions for impulsive linear fractional differential equations with impulses at fixed times, which provides a handy tool in deriving singular integral-sum inequalities and an impulsive fractional comparison principle. Thus we study the Mittag-Leffler stability of impulsive differential equations with the Caputo fractional derivative by using the impulsive fractional comparison principle and piecewise continuous functions of Lyapunov's method. Also, we give some examples to illustrate our results.