• Title/Summary/Keyword: non-existence

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Robust and Non-fragile $H^{\infty}$ Output Feedback Controller Design for Parameter Uncertain Systems with Time Delay (시간지연을 가지는 파라미터 불확실성 시스템에 대한 견실 비약성 $H^{\infty}$출력궤환 제어기 설계)

  • 손준혁;조상현;김기태;박홍배
    • Proceedings of the IEEK Conference
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    • 2002.06e
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    • pp.17-20
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    • 2002
  • This paper describes the synthesis of robust and non-fragile Η$^{\infty}$ output feedback controller for parameter uncertain systems with time delay. The sufficient condition of controller existence, and the design method of robust and non-fragile Η$^{\infty}$ output feedback controller are presented. The obtained conditions can be represented as parameterized LMIs, and PLMIs feasibility problems involve infinitely many LMIs hence are very hard to solve. Therefore, PLMIs are replaced by a finite set of LMIs using relaxation techniques(separated convexity concepts). This method is potentially conservative but often provide practically exploitable solutions of difficult problems with a reasonable computational effort. The compatibility of resulting controller is illustrated by numerical example.

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SOLVABILITY OF NONLINEAR ELLIPTIC TYPE EQUATION WITH TWO UNRELATED NON STANDARD GROWTHS

  • Sert, Ugur;Soltanov, Kamal
    • Journal of the Korean Mathematical Society
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    • v.55 no.6
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    • pp.1337-1358
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    • 2018
  • In this paper, we study the solvability of the nonlinear Dirichlet problem with sum of the operators of independent non standard growths $$-div\({\mid}{\nabla}u{\mid}^{p_1(x)-2}{\nabla}u\)-\sum\limits^n_{i=1}D_i\({\mid}u{\mid}^{p_0(x)-2}D_iu\)+c(x,u)=h(x),\;{\in}{\Omega}$$ in a bounded domain ${\Omega}{\subset}{\mathbb{R}}^n$. Here, one of the operators in the sum is monotone and the other is weakly compact. We obtain sufficient conditions and show the existence of weak solutions of the considered problem by using monotonicity and compactness methods together.

ON A GROUP CLOSELY RELATED WITH THE AUTOMORPHIC LANGLANDS GROUP

  • Ikeda, Kazim Ilhan
    • Journal of the Korean Mathematical Society
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    • v.57 no.1
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    • pp.21-59
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    • 2020
  • Let LK denote the hypothetical automorphic Langlands group of a number field K. In our recent study, we briefly introduced a certain unconditional non-commutative topological group ${\mathfrak{W}}{\mathfrak{A}}{\frac{\varphi}{K}}$, called the Weil-Arthur idèle group of K, which, assuming the existence of LK, comes equipped with a natural topological group homomorphism $NR{\frac{\varphi}{K}^{Langlands}}$ : ${\mathfrak{W}}{\mathfrak{A}}{\frac{\varphi}{K}}$ → LK that we called the "Langlands form" of the global nonabelian norm-residue symbol of K. In this work, we present a detailed construction of ${\mathfrak{W}}{\mathfrak{A}}{\frac{\varphi}{K}}$ and $NR{\frac{\varphi}{K}^{Langlands}}$ : ${\mathfrak{W}}{\mathfrak{A}}{\frac{\varphi}{K}}$ → LK, and discuss their basic properties.

The Philosophy and Linguistics of Dao : the Ancient Chinese Philosophy and Language (도의 철학과 도의 언어학 -고대 중국의 철학과 언어-)

  • 정재현
    • Lingua Humanitatis
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    • v.5
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    • pp.109-126
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    • 2003
  • The aim of this paper is to elucidate ancient Chinese philosophy and linguistics through the concept of the Dao. Ancient Chinese thought had developed together with ancient Chinese theories of language and the linguistic features of Classical Chinese. The concept of the Dao served as an intermediary among them. The Dao which ancient Chinese philosophers sought for has several characteristics: ethical normativity, wholeness, dynamicity, non-reducibility. Linguistic studies also revealed them. The following linguistic features of Classical Chinese are the cause and/or the effect of such Dao-based philosophy and linguistics: No explicit subject-predicate sentential structure, no parts of speech, heavy reliance on the word order and context for meaning determination, no explicit distinction between compound words and a sentence, the pictographic or the ideographic features of Chinese graphs, and non-existence of a copula.

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Robust Controller Design for Non-square Linear Systems Using a Passivation Approach (수동화 기법에 의한 비정방 선형 시스템의 강인 제어기 설계)

  • 손영익
    • Journal of Institute of Control, Robotics and Systems
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    • v.8 no.11
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    • pp.907-915
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    • 2002
  • We present a state-space approach to design a passivity-based dynamic output feedback control of a finite collection of non-square linear systems. We first determine a squaring gain matrix and an additional dynamics that is connected to the systems in a feedforward way, then a static passivating (i.e. rendering passive) control law is designed. Consequently, the actual feedback controller will be the static control law combined with the feedforward dynamics. A necessary and sufficient condition for the existence of the parallel feedfornward compensator (PFC) is given by the static output feedback fomulation, which enables to utilize linear matrix inequality (LMI). The effectiveness of the proposed method is illustrated by some examples including the systems which can be stabilized by the proprotional-derivative (PD) control law.

Resource Allocation in Wireless Ad Hoc Networks Using Game Theory

  • Lee, Ki-Hwan;Halder, Nilimesh;Song, Ju-Bin
    • Proceedings of the IEEK Conference
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    • 2007.07a
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    • pp.195-196
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    • 2007
  • The purpose of this paper is to analyze the resource allocation problem in a self organizing network from the viewpoint of game theory. The main focus is to suggest the model and analyze a power control algorithm in wireless ad-hoc networks using non cooperative games. Our approach is based on a model for the level of satisfaction and utility a wireless user in a self organizing network derives from using the system. Using this model, we show a distributed power control scheme that maximizes utility of each user in the network. Formulating this as a non-cooperative game we will show the feasibility of such power control as well as existence of the Nash Equilibrium achieved by the non-cooperative game.

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On the Chromosome Distribution of Uterine Carcinoma in Culture (배양한 자궁암세포의 염색체 구성에 관하여)

  • Kang, Yung-Sun;Kim, Suk-Whan;Park, Eun-Ho
    • The Korean Journal of Zoology
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    • v.15 no.1
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    • pp.15-21
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    • 1972
  • The chromosome constitutions in two cases of uterine carcinoma were studied in vitro with particular interest to the non-random distribution. The results obtained are as follows: 1. The chromosome numbers of one case were found within a normal diploid range with mode at 46, while those of the other were whithin hypotriploid range with mode at 60. 2. The data from the latter case indicated possible existence of non-random distribution of chromosome.

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Suggestion on Strength Formula of Square Hollow Section Tubluar Column-to-BeamPinned Connections (각형강관 기둥-보 핀접합부의 내력식 제안)

  • Choi, Sung Mo;Lee, Seong Hui;Lee, Kwang Ho
    • Journal of Korean Society of Steel Construction
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    • v.18 no.5
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    • pp.525-534
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    • 2006
  • Column-to-beam pinned connections can cause local moment to the web of a steel tube due to the distance of eccentricity between the row of bolts and the column flange, which possibility deteriorates the load capacity of column. In this study, a square hollow section tubular used finite element analysis of a square hollow section tubular column was carried out, and the column width and thickness, existence and non-existence of internal reinforcement, and existence and non-existence of compressive force were taken as variables to examine the load capacity deterioration of a square column caused by moment. To guarantee the reliability of the finite element results, some specimens were fabricated and tested. The yield line method was applied to suggest the strength formulas of the square tubular column to the beam pinned connections. Based on the study results, the column strength the moment of the square hollow section tubular column to the beam pined connections improved with the increase in the w to strength limitations, a no-reinforcement type of square hollow section tubular column was proposed, and if the limitation values were not satisfied, the reinforcement of the internal column was made mandatory. Therefore, the horizontal -reinforcement type considered the strength increase, and the fabrication of the square hollow section tubular column was ar column that considered its load capacity with the moment for the no-reinforcement and the horizontal-reinforcement types.

A Comparative Study on the Level of Perceived Stigma Towards Physically Disabled Between Physically Disabled and Non-disabled (지체장애인에 대한 낙인(stigma) 비교분석)

  • Jung, Mi-Yeon;So, Hee-Young
    • The Korean Journal of Rehabilitation Nursing
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    • v.11 no.1
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    • pp.13-24
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    • 2008
  • Purpose: The purposes were to explore and compare the level of perceived stigma toward physically disabled, and to find factors related with the perceived stigma. Method: Data were collected by structured questionnaire from July to September 2007. The participants consisted of 292 physically disabled and 294 non-disabled living in Daejeon, Korea. These data were analyzed using SPSS Win 12.0 by descriptive statistics, Chi-Square test, t-test, one-way ANOVA. Result: The perceived stigma towards physically disabled of the physically disabled was higher than non-disabled's. The physically disabled stigmatized themselves in all the subcategories of the perceived stigma. The physically disabled perceived the stigma differently according to the spouses, economic status, educational level, comorbidity and impairment sites. The non-disabled's perceived stigma was different according to gender, existence of spouses, job and economic status. Non-disabled's stigma towards physically disabled was not different by experiences related with physically disabled. Conclusion: For reducing the perceived stigma, nursing intervention strategies should be developed, especially for physically disabled, and further studies should be conducted to define related factors. The results of this study might be a standard to evaluate effects of nursing interventions for decreasing the stigma.

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A Research on the Concept of Emptiness that Appears in Seung, Hyo-sang and Louis I. Kahn's Architecture (승효상과 Louis I. Kahn의 건축에 나타난 '비어있음(Emptiness)'의 개념에 대한 연구)

  • Choi, Jee-Yeon;Lee, Young-Soo
    • Korean Institute of Interior Design Journal
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    • v.25 no.5
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    • pp.157-166
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    • 2016
  • This study is intended to examine the various kinds of emptiness that are shown in the empty spaces created by Hyo-Sang Seung and Louis I. Kahn. Architecture creates the usefulness of a certain space thanks to its emptiness. The word, 'Emptiness' has the following meanings, 'non-fulfillment', 'non-existence', 'emptiness', 'blankness', 'non-visibility' and 'non-limitation', etc. Such concepts of emptiness can be broadly divided into 'ideological emptiness', 'aesthetic' and 'architectural spatial'. Comparisons regarding such concepts of emptiness as they are expressed in the architectural spaces created by Hyo-sang Seung and Louis I. Kahn shall be identified in this study. Hyo-sang Seung tried to leave numerous open possibilities which can contain everything into a certain space since 'emptiness' is not being used at this moment. Louis I. Kahn tried to contain into a space the essence and silence of that space before something that exists is created. The 'emptiness' created by Hyo-sang Seung and Louis I. Kahn is a specific space which can contain more kinds of non-visible spaces than some visible ones. Thus, such spaces may contain various potentials which are possible because they are empty, because of changes in nature and time, and because of silence and intentions going beyond an artist's original intent.