• Title/Summary/Keyword: Stability Condition

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Stability Conditions for Positive Time-Varying Discrete Interval System with Unstructured Uncertainty (비구조화 불확실성을 갖는 양의 시변 이산 구간 시스템의 안정 조건)

  • Han, Hyung-seok
    • Journal of Advanced Navigation Technology
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    • v.23 no.6
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    • pp.577-583
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    • 2019
  • A dynamic system is called positive if any trajectory of the system starting from non-negative initial states remains forever non-negative for non-negative controls. In this paper, we consider the new stability condition for the positive time-varying linear discrete interval systems with time-varying delay and unstructured uncertainty. The delay time is considered as time-varying within certain interval having minimum and maximum values and the system is subjected to nonlinear unstructured uncertainty which only gives information on uncertainty magnitude. The proposed stability condition is an improvement of the previous results which can be applied only to time-invariant systems or had no consideration of uncertainty, and they can be expressed in the form of a very simple inequality. The stability conditions are derived using the Lyapunov stability theory and have many advantages over previous results using the upper solution bound of the Lyapunov equation. Through numerical example, the proposed stability conditions are proven to be effective and can include the existing results.

Comparison of Abdominal Oblique Muscle Activity During Leg Raising in Hook-lying Position According to Surface Conditions (Hook-lying 자세에서 한쪽 다리 들기시 지지면의 안정성에 따른 복사근의 근활성도 비교)

  • Kim, Su-Jeong;Weon, Jong-Hyuck;Oh, Jae-Seop;Kwon, Oh-Yun
    • Physical Therapy Korea
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    • v.13 no.3
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    • pp.102-110
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    • 2006
  • To improve trunk stability, various exercise protocols were introduced into the clinical field. Trunk and lumbar stability exercises on unstable surfaces are especially recommended to improve lumbar stability. The purpose of this study was to compare abdominal oblique muscle activity during leg raising in hook-lying position among 3 different type of surface conditions (on floor (F), vestibular board (VB), and foam roll (FR)). Sixteen able-bodied volunteers, who had no medical history of lower extremity or lumbar spine disease, were recruited for this study. Surface electromyography (EMG) activity was recorded from the internal and external oblique muscles of both sides. The normalized EMG activity was compared using a one-way repeated ANOVA. The results showed that the EMG activities of the internal oblique and external oblique of the lifted leg side during straight leg raising significantly increased under the FR condition when compared to the F condition. There was no significant difference of the EMG activity in abdominal oblique muscles between the VB and the FR conditions. The EMG activity of the internal oblique of supported leg side during the straight leg raising was significantly greater under the FR condition than the VB and F conditions (p<.05). The composition ratio of EMG activity of internal oblique muscles during straight leg raising was significantly increased under the FR condition. Therefore, straight leg raising exercise on foam roll in hook lying position could be beneficial to improve trunk and lumbar stability.

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Change of Slope Stability due to Slope Inclination and Surface Conditions (사면경사와 표면 조건에 따른 사면안정성 해석)

  • Hwang, Young-Cheol
    • Journal of the Korean Geotechnical Society
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    • v.31 no.2
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    • pp.5-11
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    • 2015
  • Slope stability is affected by duration of precipitation, probable rainfall intensity, unsaturated soil property, and soil strength. The recent analyses of slope stability tend to include unsaturated analysis based on infiltration properties of soil, while researches of unsaturated soil slope tend to include the analysis of deformation and stress distribution of soil over time. However, infiltration property of unsaturated soil slope depends not only on intensity or duration of precipitation, but also on relief and surface condition, which is not considered in status quo. This research uses hydrologic model parameters of soil in order to consider effects of inclination on filtration, and carries out analysis of unsaturated soil slope to confirm the effects according to slope inclination and surface condition. In conclusion, using slope stability analysis, the need to consider infiltration rate according to inclination and surface condition was confirmed even under the same precipitation conditions.

STUDIES ON THE STABILITY QUALITIES TRAWLER (Trawl 어선의 안정성에 관한 연구)

  • GO Jang-Gweon
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.9 no.4
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    • pp.287-292
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    • 1976
  • The author studied the stability Tualities of stern trawlers in the North Pacific Ocean according to Kato's simple judging method. The author selected 1,000 gross tonnage of A and B types, and calculated each characteristics for various conditions under 5 different free-board and S different KG. Finally, authour obtained some data of stability factors for the two types, and pointed out the zone of safety and danger between stability factor, GM and GZ max. The results obtained here are summarized as follows: The A type of ship is judged that it has the condition of safety when displacement is 2,400 tonnage and the value of K¢ was 3.40m or 3.70m. The B type of ship is judged that it only has the condition of some safety when displacement was 2,400 tonnage and the value of KG is 3.40 m, but ships of the both types have the condition of danger when displacement is 1,300-2,200 tonnage and the value of KG is 3.40-4.60m. Any types of ships under various condition must have appropriate dimensions among GM, free-oard and GZ max for the stability of ships.

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Landing with Visual Control Reveals Limb Control for Intrinsic Stability

  • Lee, Aeri;Hyun, Seunghyun;Ryew, Checheong
    • International Journal of Internet, Broadcasting and Communication
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    • v.12 no.3
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    • pp.226-232
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    • 2020
  • Repetition of landing with visual control in sports and training is common, yet it remains unknown how landing with visual control affects postural stability and lower limb kinetics. The purpose of this study was to test the hypothesis that landing with visual control will influence on lower limb control for intrinsic dynamic postural stability. Kinematics and kinetics variables were recorded automatically when all participants (n=10, mean age: 22.00±1.63 years, mean heights: 177.27±5.45 cm, mean mass: 73.36±2.80 kg) performed drop landings from 30 cm platform. Visual control showed higher medial-lateral force, peak vertical force, loading rate than visual information condition. This was resulted from more stiff leg and less time to peak vertical force in visual control condition. Leg stiffness may decrease due to increase of perturbation of vertical center of gravity, but landing strategy that decreases impulse force was shifted in visual control condition during drop landing. These mechanism explains why rate of injury increase.

Robustness of Independent Modal Space Control for Parameter and Modal Filter Errors (파라메터오차 및 모달필터오차에 대한 독립모달공간 제어기법의 강인성 해석)

  • Hwang, Jai-Hyuk;Kim, Joon-Soo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.11
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    • pp.3549-3559
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    • 1996
  • In this study, the effect of parameter and modal filter errors on the vibration control characteristics of flexible structures is analyzed for IMSC ( Independent Modal Space Control). If the control force is designed on the basis of the mathematical model with the parameter and modal filter errors, the closed-loop performance of the vibration control system will be degraded depending on the magnitude of the errors. An asymptotic stability condition of the system with parameter and modal filter errors has more significant effect on the stability condition of the system with parameter and modal filter errors has been drived using Lyapunov approach. It has been found that modal filter error has more significant effect on the stability of closed-loop system than parameter error does. The extent of the response deviation of the closed-loop system is also derived and evaluated using operator thchniques.

Research on the Applicability of Target-detection Methods for Land-based Hyperspectral Imaging

  • Qianghui Wang;Bing Zhou;Wenshen Hua;Jiaju Ying;Xun Liu;Lei Deng
    • Current Optics and Photonics
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    • v.8 no.3
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    • pp.282-299
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    • 2024
  • Target detection (TD) is a research hotspot in the field of hyperspectral imaging (HSI). Traditional TD methods often mine targets from HSIs under a single imaging condition, without considering the influence of imaging conditions. In fact, the spectra of ground objects in HSIs are uncertain and affected by the imaging conditions (weather, atmospheric, light, time, and other angle conditions including zenith angle). Hyperspectral data changes under different imaging conditions. Therefore, the detection result for a single imaging condition cannot accurately reflect the effectiveness of the detection method used. It is necessary to analyze the performance of various detection methods under different imaging conditions, to find a more applicable detection method. In this paper, we study the performance of TD methods under various land-based imaging conditions. We first summarize classical TD methods and evaluation methods. Then, the detection effects under various imaging conditions are analyzed. Finally, the concepts of the stability coefficient (SC) and effective area under the curve (EAUC) are proposed to comprehensively evaluate the applicability of detection methods under land-based imaging conditions, in terms of both detection accuracy and stability. This is conducive to our selection of detection methods with better applicability in land-based contexts, to improve detection accuracy and stability.

A Note on Schur Stability of Real Weighted Diamond Polynomials

  • Otsuka, Naohisa;Ichige, Koichi;Ishii, Rokuya
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.421-424
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    • 2004
  • This paper presents a sufficient condition for the real weighted diamond polynomials to be Schur stable using bilinear transformation and Kharitonov's theorem.

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EXISTENCE, UNIQUENESS AND STABILITY OF IMPULSIVE STOCHASTIC PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAYS

  • Anguraj, A.;Vinodkumar, A.
    • Journal of applied mathematics & informatics
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    • v.28 no.3_4
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    • pp.739-751
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    • 2010
  • This article presents the result on existence, uniqueness and stability of mild solution of impulsive stochastic partial neutral functional differential equations under sufficient condition. The results are obtained by using the method of successive approximation.