• Title/Summary/Keyword: Q Function Value

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Generalized aspects of Riccati equation focused on the roles of its solution in control problem

  • Dong, Tian;Michio, Ohta
    • 제어로봇시스템학회:학술대회논문집
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    • 1994.10a
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    • pp.20-23
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    • 1994
  • It is well known that the Boyd's theorem states the relation between the imaginary eigenvalues of discriminant H of Riccati equation (A, R, Q) and the singular value of transfer function, but it is only available for R .geq. 0 and Q .geq. 0. In this paper, we extend Boyd's theorem for two case, that is, R is symmetric, Q is sign definite, and R is sign definite, Q is symmetric. We give under the condition that there is a real symmetric solution of Riccati equation the relation between H has imaginary eigenvalue and the maximum eigenvalue of transfer functoin. Finally, we give a necessary and sufficient condition to determine whether H has imaginary eigenvalue under some conditions.

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Sensitivity Analysis (Q10) of Carbon Dioxide Flux with Soil Temperature in the Grassplot (잔디밭에서 지온에 대한 이산화탄소 플럭스의 민감도(Q10) 분석)

  • Kang, Dong-hwan;So, Yoon Hwan;Kwon, Byung Hyuk;Kim, Park Sa
    • Journal of Environmental Science International
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    • v.28 no.9
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    • pp.785-795
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    • 2019
  • In order to analyze the sensitivity of carbon dioxide flux by soil temperature in the grassplot, carbon dioxide flux and soil temperature were observed 24 times from March, 2010 to March, 2011 at nine sites in the grassplot. The average of $CO_2$ in the grassplot is $2.2{\sim}36.7^{\circ}C$, the highest in August, the lowest in January, and the average of carbon dioxide flux is $12{\sim}1479mgCO_2{\cdot}m^{-2}{\cdot}hr^{-1}$, and the carbon dioxide emission from the grassplot to the atmosphere was 10 times higher in summer than in winter. The temperature response coefficient estimated by the exponential function of carbon dioxide flux according to soil temperature was ranged from 0.1065 to 0.1274, and the increase tendency of $CO_2$ flux with soil temperature was linear at $0{\sim}20^{\circ}C$ and exponential at $20{\sim}40^{\circ}C$. The $Q_{10}$ values for each of nine observation sites on the grassplot was in the range of 2.901 ~ 3.575, and the $Q_{10}$ value using the total data observed in the lawn was estimated to be 3.374. In the homogeneous grassplot area, the average of $Q_{10}$ values by observation point and the $Q_{10}$ value by the total data were estimated similarly.

EFFICIENCY OPTIMIZATION OF INTERIOR PERMANENT MAGNET SYNCHRONOUS MOTORS USING GENETIC ALGORITHM (유전자 알고리즘을 이용한 매입형 영구자석 진동기의 최적 설계)

  • Cho, Dong-Hyeok;Sim, Dong-Joon;Jung, Hyun-Kyo;Hong, Sun-Ki
    • Proceedings of the KIEE Conference
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    • 1995.11a
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    • pp.3-8
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    • 1995
  • Since Interior Permanent Magnet syncronous Motor has a structure whose magnet is inserted in the rotor, d, q inductance is differ and the motor products hybrid torque combined allignment term and reluctance term. Air gap flux density and d, q axis inductances of the Interior Permanent Magnet Synchronous Motor obtained by analytical method are compensated using Finite Element Method. For optimal design, the efficiency of the motor is taken as the objective function, and Genetic Algorithm finds the value of design parameters which maximize the objective function.

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Design of a Passband Filter Using Modified Chebyshev Function (변형된 Chebyshev 함수를 이용한 대역통과 필터 설계)

  • 안정철;정국성최석우윤창훈
    • Proceedings of the IEEK Conference
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    • 1998.10a
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    • pp.795-798
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    • 1998
  • In this paper, a new class of bandpass filter using a modified Chebyshev lowpass filter function is described. The prosposed bandpass filter which exhibits diminishing ripples in the passband has maximum value at the center frequency. Due to the lower pole-Q, the performance in the frequency and time domains is improved as compared with the classical Chebyshev bandpass filter.

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Analysis of effectiveness for a stirling machine regenerator (스터링기기 재생기의 유용도 해석)

  • Jo, Gwan-Sik;Lee, Dae-Yeong;No, Seung-Tak
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.20 no.4
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    • pp.1426-1436
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    • 1996
  • The effectiveness of the regenerator pertaining to Stirling cycle machines is studied by analyzing the heat transfer characteristics of the oscillating flow in a tube, and a new consistent definition of the regenerator effectiveness can be expressed by the ratio of the heat transfer in axial direction (Q$\_$axial/) to that in transverse direction (Q/su w/), and its approximate form is obtained as a function of Nusselt number for practical utility. Since an approximate value of the ratio Q$\_$axial//Qsub w/ can be expressed in terms of the time-averaged rather than transient temperatures, this expression is useful to estimate the heat transfer coefficient in the Stirling machine regenerator experimentally.

Effect of $ZrO_2$Addition on the Microwave Dielectric Properties of BZN-SZN System Ceramics (BZN-SZN계 세라믹스의 마이크로파 유전 특성에 미치는 $ZrO_2$의 영향)

  • 윤석규;박우정;양우석;윤대호
    • Journal of the Korean Ceramic Society
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    • v.38 no.11
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    • pp.1042-1045
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    • 2001
  • Microwave dielectric properties of Ba(Zn$_{1}$3/Nb$_{2}$3/) $O_3$-Sr(Zn$_{1}$3/Nb$_{2}$3/) $O_3$(BZN-SZN) system were investigated as a function of sintering temperature and Zr $O_2$content. Density was increased and the temperature coefficient of resonant frequency (TCF, $\tau$$_{f}$) decreased with increasing sintering temperature. However dielectric constant (K) and Q$\times$f value did not change markedly with the sintering temperature. For the samples sintered at the same temperature, density, dielectric constant, and Q$\times$f value were increased and TCF was decreased with increasing Zr $O_2$concentration. Especially, the dielectric constant of the sample increased with x and exhibited the maximum value ($\varepsilon$$_{r}$=41) when x=0.6 at 1575$^{\circ}C$ sintered. TCF decreased with x and exhibited the minimum value ($\tau$$_{f}$=+0.8ppm/$^{\circ}C$) when x=1.0..0.

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A Study on the Dielectric and Piezoelectric Properties of xPb($Y_{1/2}Ta_{1/2})O_3-(1-x)Pb(Zr_{0.52}Ti_{0.48})O_3$Ceramics (xPb($Y_{1/2}Ta_{1/2})O_3-(1-x)Pb(Zr_{0.52}Ti_{0.48})O_3$ 세라믹스의 유전 및 압전 특성에 관한 연구)

  • 강도원;김태열;김범진;김명호;박태곤
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 1999.11a
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    • pp.294-296
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    • 1999
  • Solid solution ceramics having various ratios between xPb( $Y_{1}$2/T $a_{1}$2/) $O_3$ and Pb(Z $r_{0.52}$ $Ti_{0.48}$) $O_3$were synthesized by a conventional solid state reaction for well sintered specimens, dielectric and piezoelectric prperties were studied as a function of composition. The dielectric constant of PYT-PZT ceramics of 4 mol% PYT was 1,424 at room temperature. The maximum value of electromechanical couping facotr $k_{p}$ of 51% $k_{t}$ of 30% were obtained at the composition of 4 mol% PYT, howerver mechanical quality factor( $Q_{m}$) had a minimum value of 69 at 4 mol% PYT. Also the maximum value of piezoelectric constant of $D_{33}$(310[pC/N]) and $d_{31}$(-131[pC/N]) were obtained at the composition of 4 mol% PYT content.ntent.t.t.t.

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The Capacity of Multi-Valued Single Layer CoreNet(Neural Network) and Precalculation of its Weight Values (단층 코어넷 다단입력 인공신경망회로의 처리용량과 사전 무게값 계산에 관한 연구)

  • Park, Jong-Joon
    • Journal of IKEEE
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    • v.15 no.4
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    • pp.354-362
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    • 2011
  • One of the unsolved problems in Artificial Neural Networks is related to the capacity of a neural network. This paper presents a CoreNet which has a multi-leveled input and a multi-leveled output as a 2-layered artificial neural network. I have suggested an equation for calculating the capacity of the CoreNet, which has a p-leveled input and a q-leveled output, as $a_{p,q}=\frac{1}{2}p(p-1)q^2-\frac{1}{2}(p-2)(3p-1)q+(p-1)(p-2)$. With an odd value of p and an even value of q, (p-1)(p-2)(q-2)/2 needs to be subtracted further from the above equation. The simulation model 1(3)-1(6) has 3 levels of an input and 6 levels of an output with no hidden layer. The simulation result of this model gives, out of 216 possible functions, 80 convergences for the number of implementable function using the cot(x) input leveling method. I have also shown that, from the simulation result, the two diverged functions become implementable by precalculating the weight values. The simulation result and the precalculation of the weight values give the same result as the above equation in the total number of implementable functions.

DISTRIBUTION OF THE VALUES OF THE DERIVATIVE OF THE DIRICHLET L-FUNCTIONS AT ITS a-POINTS

  • Jakhlouti, Mohamed Taib;Mazhouda, Kamel
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.4
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    • pp.1141-1158
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    • 2017
  • In this paper, we study the value distribution of the derivative of a Dirichlet L-function $L^{\prime}(s,{\chi})$ at the a-points ${\rho}_{a,{\chi}}={\beta}_{a,{\chi}}+i{\gamma}_{a,{\chi}}$ of $L^{\prime}(s,{\chi})$. We give an asymptotic formula for the sum $${\sum_{{\rho}_{a,{\chi}};0<{\gamma}_{a,{\chi}}{\leq}T}\;L^{\prime}({\rho}_{a,{\chi}},{\chi})X^{{\rho}_{a,{\chi}}}\;as\;T{\rightarrow}{\infty}$$, where X is a fixed positive number and ${\chi}$ is a primitive character mod q. This work continues the investigations of Fujii [4-6], $Garunk{\check{s}}tis$ & Steuding [8] and the authors [12].

The Implementable Functions of the CoreNet of a Multi-Valued Single Neuron Network (단층 코어넷 다단입력 인공신경망회로의 함수에 관한 구현가능 연구)

  • Park, Jong Joon
    • Journal of IKEEE
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    • v.18 no.4
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    • pp.593-602
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    • 2014
  • One of the purposes of an artificial neural netowrk(ANNet) is to implement the largest number of functions as possible with the smallest number of nodes and layers. This paper presents a CoreNet which has a multi-leveled input value and a multi-leveled output value with a 2-layered ANNet, which is the basic structure of an ANNet. I have suggested an equation for calculating the capacity of the CoreNet, which has a p-leveled input and a q-leveled output, as $a_{p,q}={\frac{1}{2}}p(p-1)q^2-{\frac{1}{2}}(p-2)(3p-1)q+(p-1)(p-2)$. I've applied this CoreNet into the simulation model 1(5)-1(6), which has 5 levels of an input and 6 levels of an output with no hidden layers. The simulation result of this model gives, the maximum 219 convergences for the number of implementable functions using the cot(${\sqrt{x}}$) input leveling method. I have also shown that, the 27 functions are implementable by the calculation of weight values(w, ${\theta}$) with the multi-threshold lines in the weight space, which are diverged in the simulation results. Therefore the 246 functions are implementable in the 1(5)-1(6) model, and this coincides with the value from the above eqution $a_{5,6}(=246)$. I also show the implementable function numbering method in the weight space.