• Title/Summary/Keyword: Bounded

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Adaptive Fuzzy Sliding Mode Control for Nonlinear Systems Using Estimation of Bounds for Approximation Errors (근사화 오차 유계 추정을 이용한 비선형 시스템의 적응 퍼지 슬라이딩 모드 제어)

  • Seo Sam-Jun
    • Journal of the Korean Institute of Intelligent Systems
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    • v.15 no.5
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    • pp.527-532
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    • 2005
  • In this paper, we proposed an adaptive fuzzy sliding control for unknown nonlinear systems using estimation of bounds for approximation errors. Unknown nonlinearity of a system is approximated by the fuzzy logic system with a set of IF-THEN rules whose consequence parameters are adjusted on-line according to adaptive algorithms for the purpose of controlling the output of the nonlinear system to track a desired output. Also, using assumption that the approximation errors satisfy certain bounding conditions, we proposed the estimation algorithms of approximation errors by Lyapunov synthesis methods. The overall control system guarantees that the tracking error asymptotically converges to zero and that all signals involved in controller are uniformly bounded. The good performance of the proposed adaptive fuzzy sliding mode controller is verified through computer simulations on an inverted pendulum system.

Temporal and Spatial Variations of SST and Ocean Fronts in the Korean Seas by Empirical Orthogonal Function Analysis

  • Yoon, Hong-Joo;Byun, Hye-Kyung;Park , Kwang-Soon
    • Korean Journal of Remote Sensing
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    • v.21 no.3
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    • pp.213-219
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    • 2005
  • In the Korean seas, Sea Surface Temperature (SST) and Thermal ronts (TF) were analyzed temporally and spatially during 8 years from 1993 to 2000 using NOAA/AVHRR MCSST. In the application of EOF analysis for SST, the variance of the 1st mode was 97.6%. Temporal components showed annual variations, and spatial components showed that where it is closer to continents, the SST variations are higher. Temporal components of the 2nd mode presented higher values of 1993, 94 and 95 than those of other years. Although these phenomena were not remarkable, they could be considered ELNI . NO effects to the Korean seas as the time was when ELNI . NO occurred. The Sobel Edge Detection Method (SEDM) delineated four fronts: the Subpolar Front (SPF) separating the northern and southern parts of the East Sea; the Kuroshio Front (KF) in the East China Sea, the South Sea Coastal Front (SSCF) in the South Sea, and the Tidal Front (TDF) in the West Sea. TF generally occurred over steep bathymetry slopes, and spatial components of the 1st mode in SST were bounded within these frontal areas. EOF analysis of SST gradient values revealed the temporal and spatial variations of the TF. The SPF and SSCF were most intense in March and October; the KF was most significant in March and May.

Performance Analysis of a Cellular Mobile Communication System with Hybrid Guard Channels (Hybrid 가드채널이 있는 이동통신시스템이 성능 평가)

  • Hong, Sung-Jo;Choi, Jin-Yeong
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.29 no.4
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    • pp.100-106
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    • 2006
  • We analyze a voice/data integrated traffic model of the cellular mobile communication system with hybrid guard channels for voice and handoff calls. In a multi-service integrated wireless environment, quality of service guarantee is crucial for smooth transportation of real time information. Real time voice traffic requires a guaranteed upper bounded on both delay and packet error rate, whereas data traffic does not. Voice traffic has high transmission priority over data packets. Thus one of the important problems is the design of admission control schemes which can efficiently accommodate the differential quality of service requirements. In this paper, a hybrid guard channel scheme is considered in which arriving calls are assigned channels as long as the number of busy channels in the cell is below a predetermined first threshold. When the number of busy channels reaches the first threshold, new originating data calls are queued in the infinite data buffer. Then reaches second threshold, only handoff calls are assigned the remaining channels and new originating voice calls are blocked. We evaluate the system by a two-dimensional Markov chain approach and generating function method and obtain performance measures included blocking probability and forced termination probability.

Molecular interaction between a reduced riboflavin derivative and salicylic acid derivatives

  • Yu, Byung-Sul;Sohn, Dong-Hwan;Sohn, Dong-Hwan
    • Archives of Pharmacal Research
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    • v.8 no.3
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    • pp.99-107
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    • 1985
  • The interaction of reduced riboflavin 2', 3', 4', 5'-tetrabutyrate with salicylic acid, aspirin, and salicylamide has been spectroscopically investigated to determine the binding mechanism. Hydrogen-1 and carbon-13 unclear magnetic resonance, infrared, and absoption spectra were measured in chloform-d and chloroform. The association of the reduced riboflavin with salicylic acid derivatives is different from that osidizd one. Salicylic acid and the reduced riboflavin form a cyclic hydrogen bounded complex through the imino (3-N, 5-N) protons and the carbonyl (2-C, 4-C) oxygens of the isolloxazine ring of the latter, and the carboxylic hydroxyl proton and carbonyl oxygen of the former. Aspirin and the reduced riboflavin form a complex by the same mode as salicylic acid. Salicylamide forms a cyclic hydrogen bonded complex with the reduced riboflavin through the imino (3-N, 5-N) protons and the carbonyl (2-C, 4-C) oxygens of the isoalloxazine ring, and the amino proton and the carbonyl oxygen of salic aylmide. It appears that both the oxidized and reduced form of riboflavin are associated with salicylic acid derivatives.

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SOME NUMERICAL RADIUS INEQUALITIES FOR SEMI-HILBERT SPACE OPERATORS

  • Feki, Kais
    • Journal of the Korean Mathematical Society
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    • v.58 no.6
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    • pp.1385-1405
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    • 2021
  • Let A be a positive bounded linear operator acting on a complex Hilbert space (𝓗, ⟨·,·⟩). Let ωA(T) and ║T║A denote the A-numerical radius and the A-operator seminorm of an operator T acting on the semi-Hilbert space (𝓗, ⟨·,·⟩A), respectively, where ⟨x, y⟩A := ⟨Ax, y⟩ for all x, y ∈ 𝓗. In this paper, we show with different techniques from that used by Kittaneh in [24] that $$\frac{1}{4}{\parallel}T^{{\sharp}_A}T+TT^{{\sharp}_A}{\parallel}_A{\leq}{\omega}^2_A(T){\leq}\frac{1}{2}{\parallel}T^{{\sharp}_A}T+TT^{{\sharp}_A}{\parallel}_A.$$ Here T#A denotes a distinguished A-adjoint operator of T. Moreover, a considerable improvement of the above inequalities is proved. This allows us to compute the 𝔸-numerical radius of the operator matrix $\(\array{I&T\\0&-I}\)$ where 𝔸 = diag(A, A). In addition, several A-numerical radius inequalities for semi-Hilbert space operators are also established.

A LIOUVILLE THEOREM OF AN INTEGRAL EQUATION OF THE CHERN-SIMONS-HIGGS TYPE

  • Chen, Qinghua;Li, Yayun;Ma, Mengfan
    • Journal of the Korean Mathematical Society
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    • v.58 no.6
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    • pp.1327-1345
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    • 2021
  • In this paper, we are concerned with a Liouville-type result of the nonlinear integral equation of Chern-Simons-Higgs type $$u(x)=\vec{\;l\;}+C_{\ast}{{\displaystyle\smashmargin{2}{\int\nolimits_{\mathbb{R}^n}}}\;{\frac{(1-{\mid}u(y){\mid}^2){\mid}u(y){\mid}^2u(y)-\frac{1}{2}(1-{\mid}u(y){\mid}^2)^2u(y)}{{\mid}x-y{\mid}^{n-{\alpha}}}}dy.$$ Here u : ℝn → ℝk is a bounded, uniformly continuous function with k ⩾ 1 and 0 < α < n, $\vec{\;l\;}{\in}\mathbb{R}^k$ is a constant vector, and C* is a real constant. We prove that ${\mid}\vec{\;l\;}{\mid}{\in}\{0,\frac{\sqrt{3}}{3},1\}$ if u is the finite energy solution. Further, if u is also a differentiable solution, then we give a Liouville type theorem, that is either $u{\rightarrow}\vec{\;l\;}$ with ${\mid}\vec{\;l\;}{\mid}=\frac{\sqrt{3}}{3}$, when |x| → ∞, or $u{\equiv}\vec{\;l\;}$, where ${\mid}\vec{\;l\;}{\mid}{\in}\{0,1\}$.

The Expressive Characteristics and Meanings of Modern in Fashion -Focusing on Vogue and The New York Times- (현대 패션에 나타난 모던의 표현특성과 의미 -보그와 뉴욕타임즈를 중심으로-)

  • Nam, HyeJin;Ha, Jisoo
    • Journal of the Korean Society of Clothing and Textiles
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    • v.45 no.2
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    • pp.317-334
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    • 2021
  • This study aims to examine the expressive characteristics and meanings of modern in contemporary fashion, especially focusing on Vogue and The New York Times. First, modern signified originality born out of borderless fusion and compromise. It was also expressed to signify diversity and tolerance not bounded by conventions, TPO, areas, ethnic groups, seasons, or gender. Second, modern meant functionality encompassing the comfort of body and mind. It was used to refer to convenient mobility and activity fit for the lifestyle of busy modern people. Third, lightness and naturalness were used as new meanings of beauty in modern fashion. In the fashion of the twenty-first century, the principal meaning of modern was lightness, which was sought after in everything including materials, modes of wearing, and ways of thinking. Finally, modern fashion was expressed as a democratic tool for social reform and used in the meaning of enlightenment to benefit society as well as oneself. The results of this study indicate that constant changes in trends, lifestyles, and psychology of contemporary society have the potential to give new meaning to the concept and the use of the term modern.

PD-DESYNC: Practical and Deterministic Desynchronization in Wireless Sensor Networks

  • Hyun, Sang-Hyun;Kim, Geon;Yang, Dongmin
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.13 no.8
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    • pp.3880-3899
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    • 2019
  • Distributive desynchronization algorithms based on pulse-coupled oscillator (PCO) models have been proposed for achieving collision-free wireless transmissions. These algorithms do not depend on a global clock or infrastructure overheads. Moreover, they gradually converge to fair time-division multiple access (TDMA) scheduling by broadcasting a periodic pulse signal (called a 'firing') and adjusting the next firing time based on firings from other nodes. The time required to achieve constant spacing between phase neighbors is estimated in a closed form or via stochastic modeling. However, because these algorithms cannot guarantee the completion of desynchronization in a short and bounded timeframe, they are not practical. Motivated by the limitations of these methods, we propose a practical solution called PD-DESYNC that provides a short and deterministic convergence time using a flag firing to indicate the beginning of a cycle. We demonstrate that the proposed method guarantees the completion of desynchronization within three cycles, regardless of the number of nodes. Through extensive simulations and experiments, we confirm that PD-DESYNC not only outperforms other algorithms in terms of convergence time but also is a practical solution.

CHARACTERIZATIONS OF STABILITY OF ABSTRACT DYNAMIC EQUATIONS ON TIME SCALES

  • Hamza, Alaa E.;Oraby, Karima M.
    • Communications of the Korean Mathematical Society
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    • v.34 no.1
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    • pp.185-202
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    • 2019
  • In this paper, we investigate many types of stability, like (uniform stability, exponential stability and h-stability) of the first order dynamic equations of the form $$\{u^{\Delta}(t)=Au(t)+f(t),\;\;t{\in}{\mathbb{T}},\;t>t_0\\u(t_0)=x{\in}D(A),$$ and $$\{u^{\Delta}(t)=Au(t)+f(t,u),\;\;t{\in}{\mathbb{T}},\;t>t_0\\u(t_0)=x{\in}D(A),$$ in terms of the stability of the homogeneous equation $$\{u^{\Delta}(t)=Au(t),\;\;t{\in}{\mathbb{T}},\;t>t_0\\u(t_0)=x{\in}D(A),$$ where f is rd-continuous in $t{\in}{\mathbb{T}}$ and with values in a Banach space X, with f(t, 0) = 0, and A is the generator of a $C_0$-semigroup $\{T(t):t{\in}{\mathbb{T}}\}{\subset}L(X)$, the space of all bounded linear operators from X into itself. Here D(A) is the domain of A and ${\mathbb{T}}{\subseteq}{\mathbb{R}}^{{\geq}0}$ is a time scale which is an additive semigroup with property that $a-b{\in}{\mathbb{T}}$ for any $a,b{\in}{\mathbb{T}}$ such that a > b. Finally, we give illustrative examples.

The TIME AS SPACE Metaphor in English and in French: A Cognitive Analysis

  • Hamdi, Sondes
    • Cross-Cultural Studies
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    • v.28
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    • pp.67-86
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    • 2012
  • Metaphors were conceived of as a figure of speech whose role consisted in merely ornamenting the language. However, with their seminal book Metaphors we live by (1980), Lakoff and Johnson have revolutionized the conception of metaphors by placing them as central to human language, thought and action. Cognitive linguists argue that humans tend to conceptualize abstract concepts, such as time, through more experiential and tangible concepts. For instance, it has been observed that the abstract concept of time is conceptualized as space in several unrelated languages. According to the Conceptual Metaphor Theory (CMT), TIME AS SPACE metaphor covers two more specific metaphors: (1) The MOVING TIME metaphor wherein the observer is conceived as a stationary entity, as in The end of the academic year is getting closer; and (2) The TIME AS A LOCATION metaphor wherein times are conceived as stationary points and the observer is conceived as moving relative to these locations, as in We are first approaching the end of the year. This paper aims at probing the validity of the CMT representations of time on the basis of an analysis of time metaphors in two languages: English and French. This analysis is conducted within the framework of CMT. The results corroborate the CMT representations of time, suggesting that in both languages the abstract concept of time is expressed in spatial terms. In English, as in French, time is conceptualized as a moving entity and as having extension in space. In both languages, time can be seen as bounded; therefore, one can perform actions within defined limits of time.