• 제목/요약/키워드: T-norm

검색결과 301건 처리시간 0.03초

퍼지 기저함수에 종속적인 Lyapunov 함수를 이용한 T-S 퍼지 시스템의 H∞ 제어 (H∞ Control of T-S Fuzzy Systems Using a Fuzzy Basis- Function-Dependent Lyapunov Function)

  • 최현철;좌동경;홍석교
    • 제어로봇시스템학회논문지
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    • 제14권7호
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    • pp.615-623
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    • 2008
  • This paper proposes an $H_{\infty}$ controller design method for Takagi-Sugeno (T-S) fuzzy systems using a fuzzy basis-function-dependent Lyapunov function. Sufficient conditions for the guaranteed $H_{\infty}$ performance of the T-S fuzzy control system are given in terms of linear matrix inequalities (LMIs). These LMI conditions are further used for a convex optimization problem in which the $H_{\infty}-norm$ of the closed-loop system is to be minimized. To facilitate the basis-function-dependent Lyapunov function approach and thus improve the closed-loop system performance, additional decision variables are introduced in the optimization problem, which provide an additional degree-of-freedom and thus can enlarge the solution space of the problem. Numerical examples show the effectiveness of the proposed method.

CHARACTERIZATIONS FOR THE FOCK-TYPE SPACES

  • Cho, Hong Rae;Ha, Jeong Min;Nam, Kyesook
    • 대한수학회보
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    • 제56권3호
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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 $F^p_{2,{\alpha},t}$.

Identification of Endogenous Genes for Normalizing Titer Variation of Citrus Tristeza Virus in Aphids at Different Post-acquisition Feeding Times

  • Wang, Hongsu;Chen, Qi;Liu, Luqin;Zhou, Yan;Wang, Huanhuan;Li, Zhongan;Liu, Jinxiang
    • The Plant Pathology Journal
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    • 제38권4호
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    • pp.287-295
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    • 2022
  • Citrus tristeza virus (CTV) is efficiently transmitted in a semi-persistent manner by the brown citrus aphid (Toxoptera citricida (Kirkaldy)). Currently, the most sensitive method for detecting plant viruses in insect vectors is reverse-transcription quantitative polymerase chain reaction (RT-qPCR). In this study, the elongation factor-1 alpha (EF-1α) gene and acidic p0 ribosomal protein (RPAP0) gene were confirmed to be suitable reference genes for RT-qPCR normalization in viruliferous T. citricida aphids using the geNorm, NormFinder, and BestKeeper tools. Then the relative CTV titer in aphids (T. citricida) at different post-acquisition feeding times on healthy plants was quantified by RT-qPCR using EF-1α and RPAP0 as reference genes. The relative CTV titer retained in the aphids gradually decreased with increasing feeding time. During the first 0.5 h of feeding time on healthy plants, the remaining CTV titer in aphids showed about 80% rapid loss for the highly transmissible isolate CT11A and 40% loss for the poorly transmissible isolate CTLJ. The relative CTV titer in aphids during more than 12 h post-acquisition times for CT11A was significantly lower than at the other feeding times, which is similar to the trend found for CTLJ. To our knowledge, this is the first report about the relative titer variation of CTV remaining in T. citricida at different post-acquisition feeding times on healthy plants.

${H^1}({\Omega})$-NORM ERROR ANALYSIS UNDER NUMERICAL QUADRATURE RULES BY THE P-VERSION OF THE FINITE ELEMENT METHOD

  • Kim, Ik-Sung;Kim, Chang-Geun;Song, Man-Suk
    • 대한수학회논문집
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    • 제9권2호
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    • pp.467-489
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    • 1994
  • Let $\Omega$ be a closed and bounded polygonal domain in R$^2$, or a closed line segment in R$^1$ with boundary $\Gamma$, such that there exists an invertible mapping T : $\Omega$ \longrightarrow $\Omega$ with the following correspondence: x$\in$$\Omega$ ↔ x = T(x) $\in$$\Omega$, (1.1) and (1.2) t $\in$ U$\sub$p/($\Omega$) ↔ t = to T$\^$-1/ $\in$ U$\sub$p/($\Omega$), where $\Omega$ denotes the corresponding reference elements I = [-1,1] and I ${\times}$ I in R$^1$ and R$^2$ respectively, (1.3) U$\sub$p/($\Omega$) = {t : t is a polynomial of degree $\leq$ p in each variable on $\Omega$}, and (1.4) U$\sub$p/($\Omega$) = {t : t = to T $\in$ U$\sub$p/($\Omega$)}.(omitted)

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남녀 대학생의 피임태도에 미치는 영향요인 (Factors Affecting Contraceptive Attitude of College Students)

  • 김현영
    • 한국산학기술학회논문지
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    • 제20권5호
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    • pp.384-393
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    • 2019
  • 본 연구는 남녀 대학생의 피임태도에 영향을 미치는 요인을 파악하기 위해 수행되었다. 자료수집은 2017년 9월 22일부터 11월 23일까지 경상북도 G시에 소재한 대학생 238명으로부터 서면으로 동의를 받은 후 이루어졌다. 자료분석은 SPSS. PASW. 18 프로그램을 사용하여 분석하였다. 연구결과를 요약하면, 피임은 대상자의 56.7%가 하였고, 피임법으로는 콘돔을 사용한 경우가 23.9%로 가장 많았다. 남학생은 여학생보다 성관련 콘텐츠에 많이 노출이 되어 있고(t=6.02, p=.000), 개방적인 성태도를 가지고 있는 것으로 나타났다(t=5.38, p=.000). 이에 비해 여학생은 주관적 규범의 점수가 높았고(t=-3.51 p=.000), 피임태도에 대해서는 수용적이고 긍정적인 태도를 나타냈다(t=-4.21, p=.000). 남학생은 주관적 규범 점수가 높을수록 피임태도가 긍정적이었으며(r=0.19, p=.039), 여학생의 경우 성관련 콘텐츠 노출이 적을수록 피임태도가 수용적이고 긍정적이었다(r=-0.26 p=.005). 피임태도에 영향을 미치는 요인으로는 남학생은 주관적 규범이 3.6%의 설명력을 나타냈고, 여학생은 피임여부, 성교육 횟수, 성관련 콘텐츠 노출 정도가 25.5%의 영향을 미치는 요인으로 나타났다. 본 피임태도를 긍정적으로 조절할 수 있는 영향요인을 파악하는 반복연구를 통해 피임태도를 긍정적으로 형성할 수 있는 성교육 및 성상담 프로그램을 개발하도록 제언한다.

ISOMETRIES WITH SMALL BOUND ON $C^1$(X) SPACES

  • Jun, Kil-Woung;Lee, Yang-Hi
    • 대한수학회보
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    • 제32권1호
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    • pp.85-91
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    • 1995
  • For a locally compact Hausdorff space, we denote by $C_0(X)$ the Banach space of all continuous complex valued functions defined on X which vanish at infinity, equipped with the usual sup norm. In case X is compact, we write C(X) instead of $C_0(X)$. A well-known Banach-Stone theorem states that the existence of an isometry between the function spaces $C_0(X)$ and $C_0(Y)$ implies X and Y are homemorphic. D. Amir [1] and M. Cambern [2] independently generalized this theorem by proving that if $C_0(X)$ and $C_0(Y)$ are isomorphic under an isomorphism T satisfying $\left\$\mid$ T \right\$\mid$ \left\$\mid$ T^1 \right\$\mid$ < 2$, then X and Y must also be homeomorphic.

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Takagi-Sugeno Fuzzy Model-based Iterative Learning Control Systems: A Two-dimensional System Theory Approach

  • Chu, Jun-Uk;Lee, Yun-Jung
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2001년도 ICCAS
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    • pp.169.3-169
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    • 2001
  • This paper introduces a new approach to analysis of error convergence for a class of iterative learning control systems. First, a nonlinear plant is represented using a Takagi-Sugeno(T-S) fuzzy model. Then each iterative learning controller is designed for each linear plant in the T-S fuzzy model. From the view point of two-dimensional(2-D) system theory, we transform the proposed learning systems to a 2-D error equation, which is also established in the form of T-S fuzzy model. We analysis the error convergence in the sense of induced 2 L -norm, where the effects of disturbances and initial conditions on 2-D error are considered. The iterative learning controller design problem to guarantee the error convergence can be reduced to linear matrix inequality problems. In comparison with others, our learning algorithm ...

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An H Output Feedback Control for Uncertain Singularly Perturbed T-S Fuzzy Systems

  • 류석환;오설동
    • 한국지능시스템학회논문지
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    • 제19권6호
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    • pp.840-847
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    • 2009
  • This paper deals with an $H_{\infty}$ output feedback controller design for uncertain singularly perturbed T-S fuzzy systems. Integral quadratic constraints are used to describe various kinds of uncertainties of the plant. It is shown that the $H_{\infty}$ norm of the uncertain singularly perturbed fuzzy system is less than $\gamma$ for a sufficiently small $\varepsilon$ > 0 if the $H_{\infty}$ norms of both the slow and fast subsystem are less than $\gamma$. Using this fact, we develop a linear matrix inequality based design method which is independent of the singular perturbation parameter $\varepsilon$. A numerical example is provided to demonstrate the efficacy of the proposed design method.

A Note on Subnormal and Hyponormal Derivations

  • Lauric, Vasile
    • Kyungpook Mathematical Journal
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    • 제48권2호
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    • pp.281-286
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    • 2008
  • In this note we prove that if A and $B^*$ are subnormal operators and is a bounded linear operator such that AX - XB is a Hilbert-Schmidt operator, then f(A)X - Xf(B) is also a Hilbert-Schmidt operator and $${\parallel}f(A)X\;-\;Xf(B){\parallel}_2\;\leq\;L{\parallel}AX\;-\;XB{\parallel}_2$$, for f belonging to a certain class of functions. Furthermore, we investigate the similar problem in the case that S, T are hyponormal operators and $X\;{\in}\;\cal{L}(\cal{H})$ is such that SX - XT belongs to a norm ideal (J, ${\parallel}\;{\cdot}\;{\parallel}_J$) and prove that f(S)X - Xf(T) $\in$ J and ${\parallel}f(S)X\;-\;Xf(T){\parallel}_J\;\leq\;C{\parallel}SX\;-\;XT{\parallel}_J$, for f in a certain class of functions.

Dynamic Tracking Aggregation with Transformers for RGB-T Tracking

  • Xiaohu, Liu;Zhiyong, Lei
    • Journal of Information Processing Systems
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    • 제19권1호
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    • pp.80-88
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    • 2023
  • RGB-thermal (RGB-T) tracking using unmanned aerial vehicles (UAVs) involves challenges with regards to the similarity of objects, occlusion, fast motion, and motion blur, among other issues. In this study, we propose dynamic tracking aggregation (DTA) as a unified framework to perform object detection and data association. The proposed approach obtains fused features based a transformer model and an L1-norm strategy. To link the current frame with recent information, a dynamically updated embedding called dynamic tracking identification (DTID) is used to model the iterative tracking process. For object association, we designed a long short-term tracking aggregation module for dynamic feature propagation to match spatial and temporal embeddings. DTA achieved a highly competitive performance in an experimental evaluation on public benchmark datasets.