• Title/Summary/Keyword: p-norm

Search Result 270, Processing Time 0.022 seconds

Robust output feedback compensator design for multivariable systems

  • Choi, Han-Ho;Yoo, Dong-Sang;Chung, Myung-Jin
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 1991.10b
    • /
    • pp.1545-1548
    • /
    • 1991
  • In this note, we consider a robust linear shift-invariant feedback compensator design for discrete-time multivariable systems which have both matched and mismatched uncertainties. In order to attack the problem of designing robust compensators guaranteeing uniform ultimate boundedness of every closed-loop system response within a neighborhood of the zero state based solely on the knowledge of the upper norm-bounds of uncertainties, we use an approach which is effective on studying augmented feedback control systems with both mismatched and matched uncertainties. We draw some robust stability conditions using the approach and give an example.

  • PDF

Animal Naming Performance in Korean Elderly: Effects of age, education, and gender, and Typicality

  • Kim, Jung-Wan;Kim, Hyang-Hee
    • International Journal of Contents
    • /
    • v.8 no.3
    • /
    • pp.26-33
    • /
    • 2012
  • The animal naming test (ANT) is known to be influenced not only by age, gender, and education but only by ethnicity, culture, and language. Thus, population-specific norm considering these variables needs to be developed for Korean-speaking elderly. We evaluated 185 healthy elderly people with five measures. Education was the single statistically independent correlate of the total number of words ($R^2$ = .312, p = .038). After adjusting for education, there was slightly significant negative correlation (r = -.215, p = .049) between age and total number of words. Mean number of words produced was $13.71{\pm}3.09$. The production frequency was negatively correlated with the typicality rating (r = -0.41, p < .05). The concrete and exact scoring rule could be set up in the comparison of naming performance between a normal and patient with neuro-linguistic disorder and its data could be utilized in a differential diagnosis for patients with neurological disorders.

MATRIX OPERATORS ON FUNCTION-VALUED FUNCTION SPACES

  • Ong, Sing-Cheong;Rakbud, Jitti;Wootijirattikal, Titarii
    • Korean Journal of Mathematics
    • /
    • v.27 no.2
    • /
    • pp.375-415
    • /
    • 2019
  • We study spaces of continuous-function-valued functions that have the property that composition with evaluation functionals induce $weak^*$ to norm continuous maps to ${\ell}^p$ space ($p{\in}(1,\;{\infty})$). Versions of $H{\ddot{o}}lder^{\prime}s$ inequality and Riesz representation theorem are proved to hold on these spaces. We prove a version of Dixmier's theorem for spaces of function-valued matrix operators on these spaces, and an analogue of the trace formula for operators on Hilbert spaces. When the function space is taken to be the complex field, the spaces are just the ${\ell}^p$ spaces and the well-known classical theorems follow from our results.

P-version Finite Element Analysis of the Irregular Shaped Plates with Singularities (특이성을 갖는 비정형 평판의 p-version 유한요소해석)

  • 우광성
    • Computational Structural Engineering
    • /
    • v.3 no.3
    • /
    • pp.101-111
    • /
    • 1990
  • The elastic analysis of floor slabs using the p-version of finite element method encounters stress singularities at certain types of reentrant corners, openings and cut-outs. Results obtained using the computer code based on C.deg. - hierarchic plate element formulated by Reissner-Mindlin theory are compared with theoretical predictions and with computational results reported in the literature. The convergence rate of h-, p- and hp-version can be estimated on the basis of the energy norm in global sense. If accuracy in terms of the number of degree-of-freedom is used as a criterion, the solutions presented here are the most efficient that have been published up to date. Examples are the rhombic plate with the obtuse angle of 150.deg. and the square plate with cut-outs.

  • PDF

Effect of Microhardness on Premary Teeth following Fluoride Toothpaste for Children (어린이 불소치약에 따른 유치의 미세경도에 대한 효과)

  • Jeong, Mi-Ae;Nam, Seoul-Hee;Kim, Hye-Young
    • The Journal of the Korea Contents Association
    • /
    • v.13 no.12
    • /
    • pp.893-899
    • /
    • 2013
  • This study was to determine the efficacy in the remineralization on premary teeth following the application of toothpaste with and without sodium fluoride. All tooth were checked using microhardness tester and the calcium (Ca) and phosphorous (P) concentration by electron probe microanalyzer (EPMA) analysis for the 4 weeks. The collected data was analysed using the statistical software program SPSS, 20.0. The applied enamel of premary teeth with 0.243% fluoridated toothpaste resulted in significant differences in the microhardness values (p>0.05). The Ca and P concentrations of applied premary teeth with fluoridated toothpaste were also significant difference in norm wt% (p>0.05). As a results, a increasing the surface microhardness of the premary teeth and providing a remineralizing effect by increased Ca and P concentrations.

A Study of the Smoking Cessation Behavior of University Student- Based on the Theory of Planned Behavior, Self Efficacy, Health Locus of Control - (대학생의 금연 행위에 대한 연구- 계획된 행위이론, 자기효능, 건강통제위와의 관계 고찰을 중심으로 -)

  • Ahn Hye-Young
    • Child Health Nursing Research
    • /
    • v.7 no.3
    • /
    • pp.371-382
    • /
    • 2001
  • This study was conducted to investigate correlation theory of planned behavior, self efficacy and health locus of control about smoking cessation behavior for university student. We sampled 204 university student smokers using questionnaires and analyzed the data using Pearson correlation coefficient. The results of this study were as follows : 1. There were significant positive correlation between theory of planned behavior(intention : r=.215, p=.005, attitude : r=.160, p=.025, perceived behavior control : r=.298, p=.000) and self efficacy. 2. There were significant positive correlation between theory of planned behavior(attitude : r=.228, p=.002) and internal health locus of control. There were significant positive correlation between theory of planned behavior(attitude : r=.203, p=.004, subjective norm : r=.141, p=.047) and external health locus of control. There were significant negative correlation between theory of planned behavior(perceived behavior control : r=-.152, p=.034) and accidental health locus of control. This study has shown a correlation between theory of planned behavior and self efficacy and health locus of control. As a result of these findings, I suggest to develop the intervention program for smoking cessation.

  • PDF

${H^1}({\Omega})$-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
    • Communications of the Korean Mathematical Society
    • /
    • v.9 no.2
    • /
    • pp.467-489
    • /
    • 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)

  • PDF

EXISTENCE OF SOLUTIONS FOR FRACTIONAL p&q-KIRCHHOFF SYSTEM IN UNBOUNDED DOMAIN

  • Bao, Jinfeng;Chen, Caisheng
    • Bulletin of the Korean Mathematical Society
    • /
    • v.55 no.5
    • /
    • pp.1441-1462
    • /
    • 2018
  • In this paper, we investigate the fractional p&q-Kirchhoff type system $$\{M_1([u]^p_{s,p})(-{\Delta})^s_pu+V_1(x){\mid}u{\mid}^{p-2}u\\{\hfill{10}}={\ell}k^{-1}F_u(x,\;u,\;v)+{\lambda}{\alpha}(x){\mid}u{\mid}^{m-2}u,\;x{\in}{\Omega}\\M_2([u]^q_{s,q})(-{\Delta})^s_qv+V_2(x){\mid}v{\mid}^{q-2}v\\{\hfill{10}}={\ell}k^{-1}F_v(x,u,v)+{\mu}{\alpha}(x){\mid}v{\mid}^{m-2}v,\;x{\in}{\Omega},\\u=v=0,\;x{\in}{\partial}{\Omega},$$ where ${\Omega}{\subset}{\mathbb{R}}^N$ is an unbounded domain with smooth boundary ${\partial}{\Omega}$, and $0<s<1<p{\leq}q$ and sq < N, ${\lambda},{\mu}>0$, $1<m{\leq}k<p^*_s$, ${\ell}{\in}R$, while $[u]^t_{s,t}$ denotes the Gagliardo semi-norm given in (1.2) below. $V_1(x)$, $V_2(x)$, $a(x):{\mathbb{R}}^N{\rightarrow}(0,\;{\infty})$ are three positive weights, $M_1$, $M_2$ are continuous and positive functions in ${\mathbb{R}}^+$. Using variational methods, we prove existence of infinitely many high-energy solutions for the above system.

A Study on the Sparse Channel Estimation Technique in Underwater Acoustic Channel (수중음향채널에서 Sparse 채널 추정 기법에 관한 연구)

  • Gwun, Byung-Chul;Lee, Oi-Hyung;Kim, Ki-Man
    • Journal of the Korea Institute of Information and Communication Engineering
    • /
    • v.18 no.5
    • /
    • pp.1061-1066
    • /
    • 2014
  • Transmission characteristics of the sound propagation is very complicate and sparse in shallow water. To increase the performance of underwater acoustic communication system, lots of channel estimation technique has been proposed. In this paper, we proposed the channel estimation based on LMS(Least Mean Square) algorithm which has faster convergence speed than conventional sparse-aware LMS algorithms. The proposed method combines $L_p$-norm LMS with soft decision process. Simulation was performed by using the sound velocity profile which acquired in real sea trial. As a result, we confirmed that the proposed method shows the improved performance and faster convergence speed than conventional methods.

Analysis of Measurement Errors Using Short-Baseline GPS Positioning Model (단기선 GPS측위 모델을 이용한 관측오차 분석)

  • Hong, Chang-Ki;Han, Soohee
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
    • /
    • v.35 no.6
    • /
    • pp.573-580
    • /
    • 2017
  • Precise stochastic modeling for GPS measurements is one of key factors in adjustment computations for GPS positioning. To analyze the GPS measurement errors, Minimum Norm Quadratic Unbiased Estimators(MINQUE) approach is used in this study to estimate the variance components for measurement types with short-baseline GPS positioning model. The results showed the magnitudes of measurement errors for C1, P2, L1, L2 are 22.3cm, 27.6cm, 2.5mm, 2.2mm, respectively. To reduce the memory usage and computational burden, variance components are also estimated on epoch-by-epoch basis. The results showed that there exists slight differences between the solutions. However, epoch-by-epoch analysis may also be used for most of GPS applications considering the magnitudes of the differences.