• Title/Summary/Keyword: double integral condition

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CHARACTERIZATIONS FOR THE FOCK-TYPE SPACES

  • Cho, Hong Rae;Ha, Jeong Min;Nam, Kyesook
    • Bulletin of the Korean Mathematical Society
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    • v.56 no.3
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    • pp.745-756
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    • 2019
  • We obtain Lipschitz type characterization and double integral characterization for Fock-type spaces with the norm $${\parallel}f{\parallel}^p_{F^p_{m,{\alpha},t}}\;=\;{\displaystyle\smashmargin{2}{\int\nolimits_{{\mathbb{C}}^n}}\;{\left|{f(z){e^{-{\alpha}}{\mid}z{\mid}^m}}\right|^p}\;{\frac{dV(z)}{(1+{\mid}z{\mid})^t}}$$, where ${\alpha}>0$, $t{\in}{\mathbb{R}}$, and $m{\in}\mathbb{N}$. The results of this paper are the extensions of the classical weighted Fock space $F^p_{2,{\alpha},t}$.

STABILITY ANALYSIS OF A CONTROL SYSTEM QITH AN ANTIRESET-WINDUP LIMITER BY LIAPUNOV'S SECOND METHOD

  • Yang, Sangsik
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10b
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    • pp.1289-1294
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    • 1990
  • When a saturating control system has integral action, reset windup can cause instability as well as make the system performance unsatisfactory. An antirset-windup (ARW) limiter has been suggested to improve the stability and performance. It has been implemented with analog circuits and tested by simulations. This paper presents the stability condition of a double-integrator plant having the state feedback plus integral-action controller with the ARW limiter by using both Liapunov's second method and graphical method together.

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SOME WEIGHTED APPROXIMATION PROPERTIES OF NONLINEAR DOUBLE INTEGRAL OPERATORS

  • Uysal, Gumrah;Mishra, Vishnu Narayan;Serenbay, Sevilay Kirci
    • Korean Journal of Mathematics
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    • v.26 no.3
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    • pp.483-501
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    • 2018
  • In this paper, we present some recent results on weighted pointwise convergence and the rate of pointwise convergence for the family of nonlinear double singular integral operators in the following form: $$T_{\eta}(f;x,y)={\int}{\int\limits_{{\mathbb{R}^2}}}K_{\eta}(t-x,\;s-y,\;f(t,s))dsdt,\;(x,y){\in}{\mathbb{R}^2},\;{\eta}{\in}{\Lambda}$$, where the function $f:{\mathbb{R}}^2{\rightarrow}{\mathbb{R}}$ is Lebesgue measurable on ${\mathbb{R}}^2$ and ${\Lambda}$ is a non-empty set of indices. Further, we provide an example to support these theoretical results.

Analytical studies on stress concentration due to a rectangular small hole in thin plate under bending loads

  • Yang, Y.;Liu, J.K.;Cai, C.W.
    • Structural Engineering and Mechanics
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    • v.36 no.6
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    • pp.669-678
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    • 2010
  • In general means, the stress concentration problem of elastic plate with a rectangular hole can be investigated by numerical methods, and only approximative results are derived. This paper deduces an analytical study of the stress concentration due to a rectangular hole in an elastic plate under bending loads. Base on classical elasticity theory and FEM applying the U-transformation technique, the uncoupled governing equations with 3-DOF are established, and the analytical displacement solutions of the finite element equations are derived in series form or double integral form. Therefore, the stress concentration factor can then be discussed easily and conveniently. For the plate subjected to unidirectional bending loads, the non-conforming plate bending element with four nodes and 12-DOF is taken as examples to demonstrate the application of the proposed method. The inner force distribution is obtained. The solutions are adequate for the condition when the hole is far away from the edges and the thin plate subjected to any transverse loadings.

Design and Evaluation of a CMOS Image Sensor with Dual-CDS and Column-parallel SS-ADCs

  • Um, Bu-Yong;Kim, Jong-Ryul;Kim, Sang-Hoon;Lee, Jae-Hoon;Cheon, Jimin;Choi, Jaehyuk;Chun, Jung-Hoon
    • JSTS:Journal of Semiconductor Technology and Science
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    • v.17 no.1
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    • pp.110-119
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    • 2017
  • This paper describes a CMOS image sensor (CIS) with dual correlated double sampling (CDS) and column-parallel analog-to-digital converter (ADC) and its measurement method using a field-programmable gate array (FPGA) integrated module. The CIS is composed of a $320{\times}240$ pixel array with $3.2{\mu}m{\times}3.2{\mu}m$ pixels and column-parallel 10-bit single-slope ADCs. It is fabricated in a $0.11-{\mu}m$ CIS process, and consumes 49.2 mW from 1.5 V and 3.3 V power supplies while operating at 6.25 MHz. The measured dynamic range is 53.72 dB, and the total and column fixed pattern noise in a dark condition are 0.10% and 0.029%. The maximum integral nonlinearity and the differential nonlinearity of the ADC are +1.15 / -1.74 LSB and +0.63 / -0.56 LSB, respectively.

A Study on The Architectural Plan Access Method for The Integrated Design of The Environmentally Friendly Architecture (친환경 건축의 통합설계를 위한 건축 계획적 접근방법에 관한 연구)

  • Cho, Sung-Hyun;Kim, Chul-Kyu
    • Journal of The Korean Digital Architecture Interior Association
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    • v.10 no.3
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    • pp.79-86
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    • 2010
  • From the research which sees the building which uses a natural control method with ecological architecture, continuity tried to divide the building which uses a physical control method with sustainable architecture. Ecological architecture analyzes the microclimate of the area and applies mining and natural ventilation leads and that the interior environment controls, the condition of the site actively and there is a possibility of seeing. Also sustainable architecture which is possible to lead and recycling and reuse of the resources and energy cyclic process of the construction resources to lead and the interior environment to control. Therefore the case where the facility system and structural system become integrated design organically in natural circulating method is many. Specially the sunshade system and double skin system are combined and structural system of the building and there is a possibility of having the envelope which form is feature. Today the buildings lead and the system integration process where the integral parts are systematic is demanded the interior environment which and an external form and that, they make they are there is a possibility of seeing. the environmental building which hits joins in with natural control method and the structure and facility system are integrated and has the tendency which is developed and there is a possibility of saying that a meaning with the alternative construction will be able to reduce the resources and an energy.