• 제목/요약/키워드: multiplicative function

검색결과 80건 처리시간 0.021초

외란관측기를 이용한 서로계의 통합설계 (Integrated Design of Servomechanisms Using a Disturbance Observer)

  • 김민석;정성종
    • 대한기계학회논문집A
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    • 제29권4호
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    • pp.591-599
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    • 2005
  • This paper proposes a systematic design methodology for high-speed/high-precision servomechanisms by using a disturbance observer. A multiplicative uncertainty model and a two degree-of-freedom controller composed of a disturbance observer (DOB) and a PD controller are considered as subsystems. Analysis of the system performance, such as internal stability and bandwidth of a servomechanism according to subsystem parameters is conducted for better understanding of the dynamic behavior and interactions among the subsystem parameters. Then, an integrated design methodology, where the interactions are considered simultaneously, is applied to design processes of the servomechanism. The tradeoff relationship between disturbance suppression and measurement noise rejection of the DOB is considered through the design process. Numerical case studies show the improved possibility to evaluate and optimize the dynamic motion performance of the servomechanism. Moreover, the disturbance observer designed based on the proposed design methodology yields excellent disturbance suppression performance.

EXISTENCE OF SOLUTIONS OF A CLASS OF IMPULSIVE PERIODIC TYPE BVPS FOR SINGULAR FRACTIONAL DIFFERENTIAL SYSTEMS

  • Liu, Yuji
    • Korean Journal of Mathematics
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    • 제23권1호
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    • pp.205-230
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    • 2015
  • A class of periodic type boundary value problems of coupled impulsive fractional differential equations are proposed. Sufficient conditions are given for the existence of solutions of these problems. We allow the nonlinearities p(t)f(t, x, y) and q(t)g(t, x, y) in fractional differential equations to be singular at t = 0, 1 and be involved a sup-multiplicative-like function. So both f and g may be super-linear and sub-linear. The analysis relies on a well known fixed point theorem. An example is given to illustrate the efficiency of the theorems.

STABILITY OF TWO FUNCTIONAL EQUATIONS ARISING FROM DETERMINANT OF MATRICES

  • Choi, Chang-Kwon;Kim, Jongjin;Lee, Bogeun
    • 대한수학회논문집
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    • 제31권3호
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    • pp.495-505
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    • 2016
  • Let $f:{\mathbb{R}}^3{\rightarrow}{\mathbb{R}}$. In this paper we prove the stability of functional inequalities ${\mid}f(ux+vy,uy-vx,zw)-f(x,y,z)f(u,v,w){\mid}{\leq}{\phi}(u,v,w)$ or ${\phi}(x,y,z)$, ${\mid}f(ux-vy,uy-vx,zw)-f(x,y,z)f(u,v,w){\mid}{\leq}{\phi}(u,v,w)$ or ${\phi}(x,y,z)$ for all $x,y,z,u,v,w{\in}{\mathbb{R}}$. Furthermore, we give refined descriptions of bounded functions satisfying the inequalities as in Albert and Baker [1].

충청권의 교통사고 예측모형 개발에 관한 연구 (A Study on Development of Forecasting Model for Traffic Accident in Chung-Chong Region)

  • 박병호
    • 대한교통학회지
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    • 제13권1호
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    • pp.63-82
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    • 1995
  • This paper deals with the forecasting model for traffic accident. Its objective is to develop the appropriate model to project the accident of Chung-Chong Region. Two types of models between motorization (M) and personal hazard (P) are tested : One is inverted-U (bell type) curve and the other is increasing (or decreasing) curve. The statiscal and sensitivity analyses show that exponential model (type III) and multiplicative model (type II) are well fit to the given cross-sectional and time-series accident data. The model projects that the fatality per 100, 000 persons of Chung-Chong region, when the motorization level (M) is 0.2, would be in the range between 18 and 77 persons. The paper concludes that the accident level is the function of motorization and the result of implementing the safety policy of a region.

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(${\tilde{\varphi}}$, ${\tilde{\psi}}$)-AMENABILITY OF L1(G)

  • Ghorbani, Zahra
    • 호남수학학술지
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    • 제41권3호
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    • pp.559-568
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    • 2019
  • In this paper we introduce and study the concept of of (${\varphi}$, ${\psi}$)-am-enability of a locally compact group G, where ${\varphi}$ is a continuous homomorphism on G and ${\psi}:G{\rightarrow}{\mathbb{C}}$ multiplicative linear function. We prove that if the group algebra $L^1$ (G) is (${\tilde{\varphi}}$, ${\tilde{\psi}}$)-amenable then G is (${\varphi}$, ${\psi}$)-amenable, where ${\tilde{\varphi}}$ is the extension of ${\varphi}$ to M(G). In the case where ${\varphi}$ is an isomorphism on G it is shown that the converse is also valid.

혼합강도 $H_{\infty}$ 제어기법을 이용한 강인한 부하주파수 제어기 설계 (Design of Robust Load Frequency Controller using Mixed Sensitivity based $H_{\infty}$ norm)

  • 정형환;김상효;이정필;한길만
    • Journal of Advanced Marine Engineering and Technology
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    • 제24권3호
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    • pp.88-98
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    • 2000
  • In this paper, a robust controller using $H_{\infty}$ control theory has been designed for the load frequency control of interconnected 2-area power system. The main advantage of the proposed $H_{\infty}$ controller is that uncertainties of power system can be included at the stage of controller design. Representation of uncertainties is modeled by multiplicative uncertainly. In the mixed sensitivity problems, disturbance attenuation and uncertainty of the system is treated simultaneously. The robust stability and the performance of model uncertainties are represented by frequency weighted transfer function. The design of load frequency controller for each area was based on state-space approach. The comparative computer simulation results for the proposed controller and the conventional techniques such as the optimal control and the PID one were analyzed at the additions of various disturbances. Their deviation magnitude of frequency and tie line power flow at each area were mainly evaluated. Also the testing results of robustness for the cases that the perturbations of the all parameters of power system were amounted to about 20% were introduced. It was approved that the resultant performances of the proposed $H_{\infty}$ controller with mixed sensitivity were more robust and stable than the one of conventional controllers.

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초고속-장거리 네트워크에서 혼잡 제어 방안 (Congestion Control Scheme for Wide Area and High-Speed Networks)

  • 양은호;함성일;조성호;김종권
    • 정보처리학회논문지C
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    • 제12C권4호
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    • pp.571-580
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    • 2005
  • 초고속-장거리 네트워크(fast long-distance network)에서 TCP의 혼잡 제어(congestion control) 알고리즘은 대역폭을 효과적 사용하지 못하는 문제점을 가지고 있다. 이 문제를 해결하기 위하여 TCP 혼잡 제어 알고리즘을 수정한 여러 윈도우 기반 혼잡 제어 프로토콜(window-based protocol)이 제안되었다 이러한 프로토콜들은 주로 확장성(scalability), TCP-친밀성(TCP-friendliness), 그리고 RTT-공평성(RTT-fairness) 등의 세 가지의 요구사항을 고려하고 있다. 하지만 기존에 제안된 프로토콜은 위 세 가지 특성의 균형관계(trade-off)로 인하여 이들 세 특성을 동시에 만족시키지 못한다. 본 논문에서는 EIMD (Exponential Increase/ Multiplicative Decrease)라고 하는 윈도우 기반 TCP 혼잡 제어 알고리즘을 제안한다. EIMD는 위의 세 가지 특성을 동시에 제공함은 물론이고, 초고속-장거리 네트워크에서 중요하게 고려해야 할 빠른 공정배분 수렴성(fair share convergence)도 제공한다. EM는 패킷 손실(packet loss)이 없는 한, 지수적으로 윈도우를 증가시켜 큰 대역폭을 효과적으로 사용하면서도, 혼잡제어 알고리즘의 반응 함수(response function)에 RTT를 반영하여 RTT-공평성와 TCP-친밀성을 제공한다. 또한 패킷 손실이 생기기 직전의 혼잡 윈도우 크기에 반비례하게 윈도우를 증가시킴으로써 공정배분(fair share) 값에 빠르게 수렴할 수 있다. 모의실험을 통해 제안된 프로토콜이 초고속-장거리 네트워크에서 위 4가지 특성들을 모두 만족하는지 검증하였다.

인터넷 콘텐츠 서비스에 있어서 가격반응함수의 추정에 관한 연구 (Developing Price Response Functions for Internet Content Services)

  • 이정우;이세윤
    • 한국전자거래학회지
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    • 제14권1호
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    • pp.93-120
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    • 2009
  • 인터넷 비즈니스의 특징적인 장점 중의 하나는 콘텐츠를 실시간으로 서비스 할 수 있다는점이다. 현재 여러 가지 콘텐츠 서비스가 인터넷상에 등장하고 있지만 비즈니스 모델 측면에서는 아직 확정되지 않은 부분이 많고 특히 콘텐츠의 서비스와 관련해서는 실제적으로 콘텐츠 서비스를 통한 직접적인 수익보다는 광고를 통한 수익이 주가 되고 있어 콘텐츠만을 통한 수익의 창출은 쉽지 않은 것으로 알려져 있다. 상품 제조 원가에 근거해서 가격을 산출하거나 희소성에 의해서 가격이 결정되는 전통적인 제조업의 가격산정 패러다임을 인터넷 콘텐츠의 서비스에 적용하는 데는 문제점이 많아 현재로서는 인터넷 콘텐츠 서비스 가격의 산정 근거를 확보하는 데는 어려움이 많다. 따라서 콘텐츠 가격 산정에 관해서는 소비자의 선호도를 중심으로 분석하는 연구들이 진행되고 있으며 본 연구에서도 이러한 맥락에서 콘텐츠 가격산정의 근거로서 콘텐츠의 속성에 대한 소비자의 선호도를 분석하여 인터넷 콘텐츠의 가격반응함수들을 선호도에 맞추어서 도출하여 보았다. 일차적으로 인터넷 영화관을 대상으로 사용자들이 서비스를 선택할 때 가장 고려하는 속성들을 도출하였고 각개 속성들의 수준에 따른 프로파일들을 구성하고 사용자들을 대상으로 자료를 수집하여 컨조인트 분석을 해서 가격함수를 추정하였다. 이어서 선형 곱셈 유인 구텐베르그 모델 중 가장 적합한 모델을 추정하고 독점 영역과의 관계를 살펴봄으로써 각 기업들이 서비스의 가격을 책정함에 있어서 가장 수익성 높고 적합한 전략을 설정할 수 있도록 방향을 제시하였다.

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Tomography Reconstruction of Ionospheric Electron Density with Empirical Orthonormal Functions Using Korea GNSS Network

  • Hong, Junseok;Kim, Yong Ha;Chung, Jong-Kyun;Ssessanga, Nicholas;Kwak, Young-Sil
    • Journal of Astronomy and Space Sciences
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    • 제34권1호
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    • pp.7-17
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    • 2017
  • In South Korea, there are about 80 Global Positioning System (GPS) monitoring stations providing total electron content (TEC) every 10 min, which can be accessed through Korea Astronomy and Space Science Institute (KASI) for scientific use. We applied the computerized ionospheric tomography (CIT) algorithm to the TEC dataset from this GPS network for monitoring the regional ionosphere over South Korea. The algorithm utilizes multiplicative algebraic reconstruction technique (MART) with an initial condition of the latest International Reference Ionosphere-2016 model (IRI-2016). In order to reduce the number of unknown variables, the vertical profiles of electron density are expressed with a linear combination of empirical orthonormal functions (EOFs) that were derived from the IRI empirical profiles. Although the number of receiver sites is much smaller than that of Japan, the CIT algorithm yielded reasonable structure of the ionosphere over South Korea. We verified the CIT results with NmF2 from ionosondes in Icheon and Jeju and also with GPS TEC at the center of South Korea. In addition, the total time required for CIT calculation was only about 5 min, enabling the exploration of the vertical ionospheric structure in near real time.

Latitudinal Distribution of Sunspot and North-South Asymmetry Revisited

  • Chang, Heon-Young
    • Journal of Astronomy and Space Sciences
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    • 제35권2호
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    • pp.55-66
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    • 2018
  • The solar magnetic field plays a central role in the field of solar research, both theoretically and practically. Sunspots are an important observational constraint since they are considered a discernable tracer of emerged magnetic flux tubes, providing the longest running records of solar magnetic activity. In this presentation, we first review the statistical properties of the latitudinal distribution of sunspots and discuss their implications. The phase difference between paired wings of the butterfly diagram has been revealed. Sunspots seem to emerge with the exponential distribution on top of slowly varying trends by periods of ~11 years, which is considered multiplicative rather than additive. We also present a concept for the center-of-latitude (COL) and its use. With this, one may sort out a traditional butterfly diagram and find new features. It is found that the centroid of the COL does not migrate monotonically toward the equator, appearing to form an 'active latitude'. Furthermore, distributions of the COL as a function of latitude depend on solar activity and the solar North-South asymmetry. We believe that these findings serve as crucial diagnostic tools for any potential model of the solar dynamo. Finally, we find that as the Sun modulates the amount of observed galactic cosmic ray influx, the solar North-South asymmetry seems to contribute to the relationship between the solar variability and terrestrial climate change.