• Title/Summary/Keyword: positive real function

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Adaptive Control Based on Speed-Gradient Algorithm (Speed Gradient 알고리즘을 이용한 적응제어)

  • 정사철;김진환;이정규;함운철
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.31B no.3
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    • pp.39-46
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    • 1994
  • In this paper, three types of parameter update law which can be used in model reference adaptive control are suggested based on speed-gradient algorithm which was introduced by Fradkov. It is shown that the parameter update law which was proposed by Narendra is a special from of these laws and that proposed parameter update laws can insure the global stability under some conditions such as attainability and convexity. We also comment that the transfer function of reference model shoud be positive real for the realization of parameter update law.

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Disturbance Compensation Control by FXLMS Algorithm (FXLMS 알고리즘을 이용한 외란보상 제어기 설계)

  • 강민식
    • Journal of the Korean Society for Precision Engineering
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    • v.20 no.11
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    • pp.100-107
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    • 2003
  • This paper represents a disturbance compensation control for attenuating disturbance responses. In the consideration of the requirements on the model accuracy in the model based compensator designs, an experimental feed forward compensator design based on adaptive estimation by Filtered-x least mean square (FXLMS) algorithm is proposed. The convergence properties of the FXLMS algorithm are discussed and its conditions for the asymptotic convergence are derived theoretically. The effectiveness of the proposed method and the theoretical proof are verified by computer simulation.

Discrete Model Reference Adaptive Control based on Lyapunov's Stability Theory (Lyapunov 안정도이론에 기초를 둔 이산기준모델 적응제어)

  • 함운철;최계근
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.24 no.6
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    • pp.942-947
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    • 1987
  • In this paper, we suggest a new adaptive control theory for discrete-time single-input single output systems based on the Lyapunov's stability theory by using the fact that the transfer function of the model is strictly positive real. And also, obervers are used in the structure of controller. The result of computer simulation shows that the proposed algorithm can be applied to both stable and unstable plants.

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General Laws of the Iterated Logarithm for Levy Processes

  • Wee, In-Suk;Kim, Yun-Kyong
    • Journal of the Korean Statistical Society
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    • v.17 no.1
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    • pp.30-45
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    • 1988
  • Let ${X(t) : 0 \leq t < \infty}$ be a real-valued process with stationary independent increments. In this paper, we obtain necesary and sufficint condition for there to exist a positive, nondecreasing function $\beta(t)$ so that $0 < lim sup $\mid$X(t)$\mid$/\beta(t) < \infty$ a.s. both as t tends to zero and infinity. When no such $\beta(t)$ exists we give a simple integral test for whether $lim sup $\mid$X(t)$\mid$/\beta(t)$ is zero or infinity for a given $\beta(t)$.

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Efficient Illegal Contents Detection and Attacker Profiling in Real Environments

  • Kim, Jin-gang;Lim, Sueng-bum;Lee, Tae-jin
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.16 no.6
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    • pp.2115-2130
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    • 2022
  • With the development of over-the-top (OTT) services, the demand for content is increasing, and you can easily and conveniently acquire various content in the online environment. As a result, copyrighted content can be easily copied and distributed, resulting in serious copyright infringement. Some special forms of online service providers (OSP) use filtering-based technologies to protect copyrights, but illegal uploaders use methods that bypass traditional filters. Uploading with a title that bypasses the filter cannot use a similar search method to detect illegal content. In this paper, we propose a technique for profiling the Heavy Uploader by normalizing the bypassed content title and efficiently detecting illegal content. First, the word is extracted from the normalized title and converted into a bit-array to detect illegal works. This Bloom Filter method has a characteristic that there are false positives but no false negatives. The false positive rate has a trade-off relationship with processing performance. As the false positive rate increases, the processing performance increases, and when the false positive rate decreases, the processing performance increases. We increased the detection rate by directly comparing the word to the result of increasing the false positive rate of the Bloom Filter. The processing time was also as fast as when the false positive rate was increased. Afterwards, we create a function that includes information about overall piracy and identify clustering-based heavy uploaders. Analyze the behavior of heavy uploaders to find the first uploader and detect the source site.

WEAKTYPE $L^1(R^n)$-ESTIMATE FOR CRETAIN MAXIMAL OPERATORS

  • Kim, Yong-Cheol
    • Journal of the Korean Mathematical Society
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    • v.34 no.4
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    • pp.1029-1036
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    • 1997
  • Let ${A_t)}_{t>0}$ be a dilation group given by $A_t = exp(-P log t)$, where P is a real $n \times n$ matrix whose eigenvalues has strictly positive real part. Let $\nu$ be the trace of P and $P^*$ denote the adjoint of pp. Suppose that $K$ is a function defined on $R^n$ such that $$\mid$K(x)$\mid$ \leq k($\mid$x$\mid$_Q)$ for a bounded and decreasing function $k(t) on R_+$ satisfying $k \diamond $\mid$\cdot$\mid$_Q \in \cup_{\varepsilon >0}L^1((1 + $\mid$x$\mid$)^\varepsilon dx)$ where $Q = \int_{0}^{\infty} exp(-tP^*) exp(-tP)$ dt and the norm $$\mid$\cdot$\mid$_Q$ stands for $$\mid$x$\mid$_Q = \sqrt{}, x \in R^n$. For $f \in L^1(R^n)$, define $mf(x) = sup_{t>0}$\mid$K_t * f(x)$\mid$$ where $K_t(X) = t^{-\nu}K(A_{1/t}^* x)$. Then we show that $m$ is a bounded operator of $L^1(R^n) into L^{1, \infty}(R^n)$.

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Analysis of Elementary School Students' Visual Attention on the Editorial Design of 'Structure and Function of Our Body' in the 2007·2009 Revised Elementary Science Textbook (2007·2009 개정 초등 과학 교과서 '우리 몸의 구조와 기능' 단원의 편집디자인에 따른 초등학생들의 시각적 주의 분석)

  • Shin, Won-Sub
    • Journal of Korean Elementary Science Education
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    • v.36 no.4
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    • pp.428-438
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    • 2017
  • The purpose of this study is to analyze the visual attention of elementary school students according to the editorial design of the 2007 2009 revised elementary science textbook 'Structure and function of our body'. For this purpose, eye movements were collected while elementary school students were watching real textbooks wearing mobile eye tracker. The BeGaze 3.7 program of SMI company was used analyzing eye movements. Twenty-six elementary school students participated voluntarily in mobile tracking research. Elementary students learned the contents of textbook related to 'digestive organ' and 'respiratory organ' by using double reading learning strategy. The results of this study are as follows. First, as a result of pre- and post-knowledge tests, there was no statistically significant difference in learning effect between 2007 revised and 2009 revised textbook editing design. Second, elementary school students tended to give more visual attention to text than textbook illustrations. Third, the selective attention and persistent attention of elementary students showed a very strong positive correlation (.940), but the selective attention and self-control showed a strong positive correlation (.499). Fourth, students with high level of attention and low level showed high visual occupancy in text than in illustrations. Fifth, elementary school students preferred the 2009 revised science textbook to the 2007 revised.

BLASCHKE PRODUCTS AND RATIONAL FUNCTIONS WITH SIEGEL DISKS

  • Katagata, Koh
    • Journal of the Korean Mathematical Society
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    • v.46 no.1
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    • pp.151-170
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    • 2009
  • Let m be a positive integer. We show that for any given real number ${\alpha}\;{\in}\;[0,\;1]$ and complex number $\mu$ with $|\mu|{\leq}1$ which satisfy $e^{2{\pi}i{\alpha}}{\mu}^m\;{\neq}\;1$, there exists a Blaschke product B of degree 2m + 1 which has a fixed point of multiplier ${\mu}^m$ at the point at infinity such that the restriction of the Blaschke product B on the unit circle is a critical circle map with rotation number $\alpha$. Moreover if the given real number $\alpha$ is irrational of bounded type, then a modified Blaschke product of B is quasiconformally conjugate to some rational function of degree m + 1 which has a fixed point of multiplier ${\mu}^m$ at the point at infinity and a Siegel disk whose boundary is a quasicircle containing its critical point.

SPECTRAL ANALYSIS FOR THE CLASS OF INTEGRAL OPERATORS ARISING FROM WELL-POSED BOUNDARY VALUE PROBLEMS OF FINITE BEAM DEFLECTION ON ELASTIC FOUNDATION: CHARACTERISTIC EQUATION

  • Choi, Sung Woo
    • Bulletin of the Korean Mathematical Society
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    • v.58 no.1
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    • pp.71-111
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    • 2021
  • We consider the boundary value problem for the deflection of a finite beam on an elastic foundation subject to vertical loading. We construct a one-to-one correspondence �� from the set of equivalent well-posed two-point boundary conditions to gl(4, ℂ). Using ��, we derive eigenconditions for the integral operator ��M for each well-posed two-point boundary condition represented by M ∈ gl(4, 8, ℂ). Special features of our eigenconditions include; (1) they isolate the effect of the boundary condition M on Spec ��M, (2) they connect Spec ��M to Spec ����,α,k whose structure has been well understood. Using our eigenconditions, we show that, for each nonzero real λ ∉ Spec ����,α,k, there exists a real well-posed boundary condition M such that λ ∈ Spec ��M. This in particular shows that the integral operators ��M, arising from well-posed boundary conditions, may not be positive nor contractive in general, as opposed to ����,α,k.