• Title/Summary/Keyword: convergence and stability

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IMPLICIT DIFFERENCE APPROXIMATION FOR THE TWO-DIMENSIONAL SPACE-TIME FRACTIONAL DIFFUSION EQUATION

  • Zhuang, Pinghui;Liu, Fawang
    • Journal of applied mathematics & informatics
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    • v.25 no.1_2
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    • pp.269-282
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    • 2007
  • In this paper, we consider a two-dimensional fractional space-time diffusion equation (2DFSTDE) on a finite domain. We examine an implicit difference approximation to solve the 2DFSTDE. Stability and convergence of the method are discussed. Some numerical examples are presented to show the application of the present technique.

Stability of SA Fragility Curves on Elastic Modulus (탄성계수에 대한 SA 손상도 곡선의 안정성)

  • Lee, Jong-Heon
    • Journal of the Korean Society of Industry Convergence
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    • v.9 no.3
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    • pp.207-214
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    • 2006
  • In this paper, the stability of SA(Spectral Acceleration) fragility curves is studied for the two sets of elastic modulus of concrete. In doing that, general purpose structural analysis program and generally used probability density function are used. The results of structural analysis are represented by Bernoulli distribution which says damage or no damage. By the use of Maximum Likelihood Method, two parameters of lognormal distribution - median and standard deviation - are found. With them, the fragility curves are constructed.

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A Partial Pole Placement Method. (부분 극배치 기법)

  • 김성열;김진용;이정국;이금원
    • Proceedings of the Korea Institute of Convergence Signal Processing
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    • 2003.06a
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    • pp.188-192
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    • 2003
  • Pole placement method is widely used in controller design. For the stability of the closed loop system, user-specified desired locations including extra pole locations in the s-plane is chosen and by some procedure, feedback gain is obtained. In this paper, only desired pole location is used, and the calculation process is done for attaining linear quadratic stability. Similarly transformation is used for this. By computer simulations using MATLAB, the effectiveness is shown.

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CONVERGENCE ANALYSIS OF PERTURBED HEMIVARIATIONAL INEQUALITIES

  • Mansour, Mohamed-Ait;Riahi, Hassan
    • Journal of applied mathematics & informatics
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    • v.14 no.1_2
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    • pp.329-341
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    • 2004
  • We consider the rate of convergence for a class of perturbed hemivariational inequalities in reflexive Banach Spaces. Our results can be viewed as an extension and refinement of some previous known results in this area.

Study on the Stability of Force Control using a 6-axis Compliance Device with F/T Sensing (F/T측정 기능을 갖는 6축 순응장치를 이용한 힘제어 안정성 연구)

  • Gi-Seong Kim;Sung-Hun Jeong;Han-Sung Kim
    • Journal of the Korean Society of Industry Convergence
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    • v.26 no.1
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    • pp.211-215
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    • 2023
  • In this paper, the stability and effectiveness of the force control with a 6-axis compliance device are verified by performing comparative experiments with a commercial F/T sensor. The position/force control algorithm based on the Cartesian stiffness of a compliance device is briefly introduced and the design result of a 6-axis compliance device with F/T sensing is presented. The comparative experiments show that the force control using a compliance device is much more stable than that with rigid F/T sensor due to the enough compliance of a compliance device larger than robot positional resolution.

NOTE OF BEHAVIOR OF A COUPLED NONAUTONOMOUS ORDINARY DIFFERENTIAL EQUATION

  • Hong, Keum-Shik
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.227-230
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    • 1995
  • Stability of a coupled nonautonomous ordinary differential equation is investigated. Asymptotic convergence to zero of a part of state vector is additionally shown, otherwise only uniform stability could have been concluded by the Lyapunov direct method. Obtained results could be particularly useful in analysis of nonautonomous systems in which the invariance principle does not hold. An illustrating example is given.

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Evaluation of Water Supply Stability for Upland Crop in Reservoir Irrigation Districts Using Resilience Indexes (레질리언스 지표를 이용한 저수지 수혜구역의 전작농지 용수공급 안정성 평가)

  • Park, Jinseok;Jang, Seongju;Lee, Hyeokjin;Shin, Hyungjin;Chung, Soo;Song, Inhong
    • Journal of The Korean Society of Agricultural Engineers
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    • v.66 no.1
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    • pp.25-37
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    • 2024
  • As the agricultural land use shifts from paddy to upland, ensuring reservoir water supply stability for upland crop irrigation becomes essential. The objectives of this study were to estimate the irrigation water requirements considering the upland irrigation scenario and to evaluate the reliability of the water supply from the agricultural reservoir using resilience indexes. Two study sites, Sinheung and Hwajeong, were selected, and soybean and red peppers, the most water-intensive crops, were selected as study crops, respectively. For the irrigation scenario, two irrigation methods of traditional scheduling (which irrigates all sites at once) and rotational scheduling (which distributes irrigation by districts), along with the upland conversion rate, were considered. The net irrigation requirement was estimated through a water balance analysis. The stability of the reservoir was evaluated using resilience indexes based on the simulated 10-years reservoir water levels and drought criterion. Overall, the water supply of the reservoir was evaluated as stable during the simulated 10 years, except for the one year. Compared to the two irrigation methods, rotational scheduling resulted in lower irrigation water usage in both sites, with reductions of 1.6%, and 0.3%, respectively. As the upland conversion rate increases, the water deficit could be intensified in Hwajeong with a conversion rate exceeding 50%, showing the number of deficit(ND) over the one and a rapid increase in the deficit ratio(DR). It was confirmed that the reservoir operation criteria can be enhanced by incorporating resilience indicators along with crop growth information, thus, this will be a further study.

Convergence Correlation Analysis of Physical Characteristics and Functional Movement Screen in Healthy Adults (정상 성인의 신체적 특성과 기능적 움직임 검사에 대한 융합적 상관관계 분석)

  • Kim, Hyun-Seung;Cho, Sung-Hyoun
    • Journal of the Korea Convergence Society
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    • v.11 no.4
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    • pp.87-93
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    • 2020
  • The purpose of this study was to examine the convergence correlation between physical characteristics and functional movement screen(FMS). Overall, 193 adults with normal single measurement values participated in the study. For data analysis, we used the SPSS Ver. 26.0 statistical program to perform t-tests and to determine Pearson's correlation coefficients for variables. Data analysis revealed significant sex differences in the active straight-leg raise and trunk stability push up tests (P<.05). In addition, our data analysis also revealed a negatively correlation between body fat percentage and FMS tests, except in the shoulder mobility and active straight leg raise test. In the active straight leg raise, the quality of functional movement was higher in women than in men; while in the trunk stability push ups, the quality of functional movement was higher in men than in women. Therefore, we conclude that men should reinforce the flexibility of the lower extremities, and females should apply upper body muscular strength for better trunk stability movement.

Optimal Dimension Design and Stability Analysis of Non-slip Steel Grating (금속 그레이팅의 높이변화에 따른 최적치수 설계 및 안정성 해석)

  • Son, In-Soo
    • Journal of the Korean Society of Industry Convergence
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    • v.25 no.3
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    • pp.357-363
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    • 2022
  • In this study, in order to develop an non-slip metal grating, the stability of the grating according to the span of the grating and the gap and height of the bearing bar was evaluated. The optimal shape design of the grating was performed using the results of determining the stability of the grating. The purpose of this study is to determine the stability according to the spacing and height of the bearing bar by applying the design pressure at the design stage to develop the anti-skid grating, and to design the optimal shape for cost reduction. In the optimal design, the target variable was set as the mass, and the optimal design of the grating was performed based on about 20%. Regardless of the height of the bearing bar of the grating, the stress and deformation of the span and the grating showed a proportional tendency to each other, and it was found that the stress decreased as the height of the bearing bar increased. Based on the structural analysis results, an optimal design was performed using mass as the objective variable, and the existing 2mm thickness was changed to 1.6mm, reducing the mass by about 19%. The stress increased by about 4.4% compared to the maximum stress of the existing grating, but the minimum safety factor was 3.1, indicating that the optimally designed grating was stable.

SOME STABILITY RESULTS FOR COINCIDENCE POINT ITERATIVE ALGORITHMS WITH THREE MAPPINGS

  • Kim, Seung-Hyun;Kang, Mee-Kwang
    • The Pure and Applied Mathematics
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    • v.27 no.1
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    • pp.61-70
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    • 2020
  • In this paper, we introduce a new concept of stability of coincidence iterative algorithm for three mappings and derive a new three-step Jungck-type iterative algorithm. And, we prove a stability result and a strong convergence result for the Jungck-type algorithm using the MJ-contractive condition. Our results extend and unify the corresponding ones in [3, 6, 7, 13].