• 제목/요약/키워드: term-infinite

검색결과 48건 처리시간 0.028초

POSINORMAL TERRACED MATRICES

  • Rhaly, H. Crawford, Jr.
    • 대한수학회보
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    • 제46권1호
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    • pp.117-123
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    • 2009
  • This paper is a study of some properties of a collection of bounded linear operators resulting from terraced matrices M acting through multiplication on ${\ell}^2$; the term terraced matrix refers to a lower triangular infinite matrix with constant row segments. Sufficient conditions are found for M to be posinormal, meaning that $MM^*=M^*PM$ for some positive operator P on ${\ell}^2$; these conditions lead to new sufficient conditions for the hyponormality of M. Sufficient conditions are also found for the adjoint $M^*$ to be posinormal, and it is observed that, unless M is essentially trivial, $M^*$ cannot be hyponormal. A few examples are considered that exhibit special behavior.

Decentralized Input-Output Feedback Linearizing Controller for MultiMachine Power Systems : Adaptive Neural-Net Control Approach

  • Park, Jang-Hyun;Jun, Jae-Choon;Park, Gwi-Tae
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2001년도 ICCAS
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    • pp.41.3-41
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    • 2001
  • In this paper, we present a decentralized adaptive neural net(NN) controller for the transient stability and voltage regulation of a multimachine power system. First, an adaptively input-output linearizing controller using NN is designed to eliminate the nonlinearities and interactions between generators. Then, a robust control term which bounds terminal voltage to a neighborhood of the operating point within the desired value is introduced using only local information. In addition, we consider input saturation which exists in the SCR amplifier and prove that the stability of the overall closed-loop system is maintained regardless of the input saturation. The design procedure is tested on a two machine infinite bus power system.

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Stochastic along-wind response of nonlinear structures to quadratic wind pressure

  • Floris, Claudio;de Iseppi, Luca
    • Wind and Structures
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    • 제5권5호
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    • pp.423-440
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    • 2002
  • The effects of the nonlinear (quadratic) term in wind pressure have been analyzed in many papers with reference to linear structural models. The present paper addresses the problem of the response of nonlinear structures to stochastic nonlinear wind pressure. Adopting a single-degree-of-freedom structural model with polynomial nonlinearity, the solution is obtained by means of the moment equation approach in the context of It$\hat{o}$'s stochastic differential calculus. To do so, wind turbulence is idealized as the output of a linear filter excited by a Gaussian white noise. Response statistical moments are computed for both the equivalent linear system and the actual nonlinear one. In the second case, since the moment equations form an infinite hierarchy, a suitable iterative procedure is used to close it. The numerical analyses regard a Duffing oscillator, and the results compare well with Monte Carlo simulation.

On the Hyers-Ulam Stability of Polynomial Equations in Dislocated Quasi-metric Spaces

  • Liu, Yishi;Li, Yongjin
    • Kyungpook Mathematical Journal
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    • 제60권4호
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    • pp.767-779
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    • 2020
  • This paper primarily discusses and proves the Hyers-Ulam stability of three types of polynomial equations: xn+a1x+a0 = 0, anxn+⋯+a1x+a0 = 0, and the infinite series equation: ${\sum\limits_{i=0}^{\infty}}\;a_ix^i=0$, in dislocated quasi-metric spaces under certain conditions by constructing contraction mappings and using fixed-point methods. We present an example to illustrate that the Hyers-Ulam stability of polynomial equations in dislocated quasi-metric spaces do not work when the constant term is not equal to zero.

Theory of Light Scattering by a Circular Cylinder over a Planar Substrate: Normal Incidence

  • Park, Byong Chon;Kim, Jin Seung
    • Current Optics and Photonics
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    • 제5권3호
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    • pp.329-335
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    • 2021
  • The problem of polarized light scattering by a cylinder on or close to a planar substrate is analytically solved. The light is assumed to be normally incident to the axis of the cylinder. Transverse magnetic (TM) and transverse electric (TE) polarizations are treated separately. The solution for each polarization is composed of a coupled set of linear equations which couples the scattering characteristics of the cylinder and the planar substrate. The coupling comes from the scattering by the planar substrate and by the cylinder. The solution of the coupled set of equations obtained by iterative substitution consists of infinite series, where each term represents the contribution of single and multiple scatterings of all orders.

가압 경수로에서 생성된 시멘트 고화체로부터 Cs-137의 용출 현상의 실험적 연구 (Experimental Study of Leaching Phenomena of Cs-137 From a Cement Matrix Generated at PWR Plant)

  • 도정열;이건재
    • Journal of Radiation Protection and Research
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    • 제11권2호
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    • pp.91-103
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    • 1986
  • 가압 경수로형 원자로에서 발생하는 증발기 저부 폐액에서의 Cs-137의 용출에 대한 실험을 수행하였다. IAEA에 의해 제안된 용출실험 방법에 근거를 두고, ANS 방법의 일부를 채용하였다. 용출에 영향을 미치는 여러 인자들로서, 시료채취방법, 양생온도, 양생기간, 용출액 온도, Vermiculite 첨가와 체적 대 표면적비 등이 고려되었다. 준 무한 격판(Semi-infinite Slab)에 대한 확산 모델은 4주간 경화된 시료의 실험치와 좋은 일치를 보이고 있다. 4주간 $25^{\circ}C$에서 양생된 시료의 표면적 확산 계수는 $1.20{\sim}1.47{\times}10^{-11}cm^2/sec$가 됨을 확인했으며, 이 계수에 의해 Cs-137의 장기 용출을 예측을 유한 격판 근사(Finite-slab Approximation) 방법을 이용하여 수행하였다. 또한, 계산 결과로부터 Cs-137은 용출 개시후 약 25년이 되면 초기량의 0.66%인 최대치가 되며 100년 후에는 약 0.25%가 잔류한다.

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1차원 해석해를 이용한 저투수성 매체에서의 확산에 관한 연구 (One-dimensional Analytical Solutions for Diffusion from a Low-permeability Layer)

  • 장성간;양민준
    • 자원환경지질
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    • 제53권1호
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    • pp.11-21
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    • 2020
  • 본 연구는 대수층과 저투수층이 존재하는 단일시스템에서 trichloroethylene (TCE)과 tetrachloroethylene (PCE)의 거동에 대해 1차원 확산 해석해를 사용하여 저투수층의 농도 분포, 대수층과 저투수층의 경계면에서 확산 선속, 그리고 역확산에 의한 대수층의 오염 지속성을 모델링하였다. 모델링에 사용된 해석해는 이전 연구에서 많이 사용되었던 저투수층의 두께가 무한한 조건의 해석해와 본 연구에서 제시한 저투수층의 두께가 유한한 조건을 고려한 해석해를 모두 사용하였다. 제시된 해석해의 타당성을 평가하기 위해 저투수층의 두께가 무한한 조건의 해석해와 Yang et al.(2015)이 개발한 1차원 확산 해석해의 결과를 Nash-Sutcliffe 유효계수(NSE)로 비교하였다. 저투수층의 농도 분포, 확산 선속, 그리고 대수층의 오염 지속성 등 모든 결과에서 무한한 조건의 해석해를 이용하였을 때 과소평가되는 결과를 나타내었다. 그리고 본 연구에서 제시한 해석해의 결과와 Yang et al. (2015)이 개발한 해석해의 결과는 높은 일치성(NSE = 0.99)을 보였다. 본 연구에서 제시한 해석해를 실제 오염된 부지에 효율적으로 적용하기 위해 유효확산계수, 저투수층의 두께, 그리고 확산된 시간을 이용하여 확산 거리(Zd)라는 용어를 소개하였다. 확산 거리가 0.7 보다 작은 경우 저투수층의 두께가 무한한 조건의 해석해를 사용할 수 있으며, 확산 거리가 0.7 보다 큰 경우 저투수층의 두께가 유한한 확산 해석해를 사용하여야 모델링의 신뢰성을 높일 수 있을 것으로 사료된다.

커스프 균열에 대한 열응력세기 계수의 경계요소해석 (Bounary Element Analysis of Thermal Stress Intensity Factors for Cusp Cracks)

  • 이강용;조윤호
    • 대한기계학회논문집
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    • 제14권1호
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    • pp.119-129
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    • 1990
  • 본 연구에서는 선적분화 된 체적력항을 갖는 경계요소법을 이용하여, Griffi- th균열에 대한 열응력세기계수를 구하여 Sumi의 결과와 비교 검토하고, 유무한체내의 대칭 입술형및 대칭 익형 커스프균열들(symmetric lip and airfoil cusp cracks)의 열 응력세기계수를 균열묘면이 단열된 경우와 일정 온도로 유지된 경우에 대해 계산하고 자 한다.

전력설비의 안정한 운용을 위한 3상 능동전력필터의 강인한 내부모델제어 (Robust Internal Model Control of Three-Phase Active Power Filter for Stable Operation in Electric Power Equipment)

  • 박지호;김동완
    • 전기학회논문지
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    • 제62권10호
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    • pp.1487-1493
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    • 2013
  • A new simple control method for active power filter, which can realize the complete compensation of harmonics is proposed. In the proposed scheme, a model-based digital current control strategy is presented. The proposed control system is designed and implemented in a form referred to as internal model control structure. This method provides a convenient way for parameterizing the controller in term of the nominal system model, including time-delays. As a result, the resulting controller parameters are directly set based on the power circuit parameters, which make tuning of the controllers straightforward task. In the proposed control algorithm, overshoots and oscillations due to the computation time delay is prevented by explicit incorporating of the delay in the controller transfer function. In addition, a new compensating current reference generator employing resonance model implemented by a DSP(Digital Signal Processor) is introduced. Resonance model has an infinite gain at resonant frequency, and it exhibits a band-pass filter. Consequently, the difference between the instantaneous load current and the output of this model is the current reference signal for the harmonic compensation.

Quantifying the Comprehensive and Progressive Agreement for Trans-Pacific Partnership

  • Ciuriak, Dan;Xiao, Jingliang;Dadkhah, Ali
    • East Asian Economic Review
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    • 제21권4호
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    • pp.343-384
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    • 2017
  • We assess the outcomes for the negotiating parties in the Trans-Pacific Partnership if the remaining eleven parties go ahead with the agreement as negotiated without the United States, as compared to the outcomes under the original twelve-member agreement signed in October 2016. We find that the eleven-party agreement, now renamed as the Comprehensive and Progressive Agreement for Trans-Pacific Partnership (CPTPP), is a much smaller deal than the twelve-party one, but that some parties do better without the United States in the deal, in particular those in the Western Hemisphere - Canada, Mexico, Chile, and Peru. For the politically relevant medium term, the United States stands to be less well-off outside the TPP than inside. Since provisional deals can be in place for a long time, the results of this study suggest that the eleven parties are better off to implement the CPTPP, leaving aside the controversial governance elements, the implications of which for national interests are unclear and which, in any event, may be substantially affected by parallel bilateral negotiations between individual CPTPP parties and the United States.