• 제목/요약/키워드: stability period

검색결과 1,550건 처리시간 0.026초

THE RULE OF TRAJECTORY STRUCTURE AND GLOBAL ASYMPTOTIC STABILITY FOR A FOURTH-ORDER RATIONAL DIFFERENCE EQUATION

  • Li, Xianyi;Agarwal, Ravi P.
    • 대한수학회지
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    • 제44권4호
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    • pp.787-797
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    • 2007
  • In this paper, the following fourth-order rational difference equation $$x_{n+1}=\frac{{x_n^b}+x_n-2x_{n-3}^b+a}{{x_n^bx_{n-2}+x_{n-3}^b+a}$$, n=0, 1, 2,..., where a, b ${\in}$ [0, ${\infty}$) and the initial values $X_{-3},\;X_{-2},\;X_{-1},\;X_0\;{\in}\;(0,\;{\infty})$, is considered and the rule of its trajectory structure is described clearly out. Mainly, the lengths of positive and negative semicycles of its nontrivial solutions are found to occur periodically with prime period 15. The rule is $1^+,\;1^-,\;1^+,\;4^-,\;3^+,\;1^-,\;2^+,\;2^-$ in a period, by which the positive equilibrium point of the equation is verified to be globally asymptotically stable.

Research on the Safety of Ship and Offshore Structure - on Low Cycle resonance of a Sihp in Severe Following Waves -

  • Hamamoto, M.;Kim, J.A.;Kwon, S.H.;Lee, S. K.;Jo, H.J.
    • Journal of Hydrospace Technology
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    • 제1권1호
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    • pp.57-65
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    • 1995
  • For the mechanism of ship capsizing, we can generally consider that it\`s caused due to pure loss of stability, parametric oscillation(low cycle resonance) of ship in waves and the broaching phenomena. Among them, low cycle resonance occurs due to the dynamic change of righting arm with respect to the relative position of ship to waves. The dynamic change depends on the encounter period of a ship in following waves. This paper discusses the following items : (1) An analytical expression of GZ curve varying with respect to the relative position of ship to waves, (2) Non-linear equation of motion describing low cycle resonance, (3) The effects of righting arm, stability range and encounter period on low cycle resonance.

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The Study of Stability of Oral Pharmaceutical Liquid Preparation II

  • Kang, Min-Kyung;Park, So-Min;Choi, So-Young;Kim, Kil-Soo
    • 대한약학회:학술대회논문집
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    • 대한약학회 2003년도 Proceedings of the Convention of the Pharmaceutical Society of Korea Vol.2-2
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    • pp.226.1-226.1
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    • 2003
  • The available period of oral pharmaceutical liquid preparations was decided according to the study of the stability of unopened preparations. But if one reuses the drug after opening the sealed cap, the major components of the drug could change in quality. In addition, there isn`t any accurate information about the available period of opened oral pharmaceutical liquid preparations. In this study, a long term test, an accelerated test and a microbial limit test are run with C (pseudoephedrine and triprolidine), D (ibuprofen) that are marketed and used frequently. (omitted)

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The Study of Stability of Oral Pharmaceutical Liquid Preparations I

  • Um, So-Young;Han, Kyu-Won;Choi, Jung-Im;Kim, Kil-Soo
    • 대한약학회:학술대회논문집
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    • 대한약학회 2003년도 Proceedings of the Convention of the Pharmaceutical Society of Korea Vol.2-2
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    • pp.233.1-233.1
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    • 2003
  • The available period of oral pharmaceutical liquid preparations was decided according to the study of the stability of unopened preparations. But if one reuses the drug after opening the sealed cap, the major components of the drug could change in quality. In addition, there isn`t any accurate information about the available period of opened oral pharmaceutical liquid preparations. In this study, a long term test, an accelerated test and a microbial limit test are run with A (acetaminophen), B (L-carbocysteine) that are markdted and used frequently. (omitted)

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광디스크 드라이버의 풀인(pull-in) 성능향상을 위한 이득 스케줄링 제어기의 설계 (Design of a Gain Scheduling Controller to Improve Pull-in Performance in Optical Disc Drive)

  • 김은희;오준호
    • 제어로봇시스템학회논문지
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    • 제14권5호
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    • pp.462-466
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    • 2008
  • This paper proposes a stable gain scheduling method of linear time invariant controllers for tracking servo system. In order to read and write the data on the optical disc, the pick-up head should be moved to the exact track quickly and follow the track immediately. Two different controllers are used for each moving and track-following. In pull-in period, a transition period from moving to track-following, the head might slip and miss the target track. This brings on another searching process and increases the total time. One way to avoid slipping is to extend the bandwidth of the track-following controller. But, extending the bandwidth could degrade the following performance. More prevalent way is to use one more controller in this pull-in period and switch to the following controller. In general, however, switching or scheduling of stable controllers cannot guarantee the stability. This paper suggests an scheduling method guaranteeing the overall stability not only in a generalized form but also in special form for SISO system. The sufficient condition is derived from the fact that Q factor of a stable controller should be stay in $RH_{\infty}$ space. In the experiment, the proposed method shows better performance than the switching method such as shorter time and lower current consumption.

우리나라 하수처리장 방류수 수질현황 및 특성 (Survey of the Secondary Effluents from Municipal Wastewater Treatment Plants in Korea)

  • 김영철;안익성;강민기
    • 한국물환경학회지
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    • 제21권2호
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    • pp.158-168
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    • 2005
  • In this study, the discharging effluents from have been 9 municipal wastewater treatment plants surveyed for 1 year-period. Statistics including probability distribution, cumulative occurrence concentration and other statistical parameters were presented. In addition, treatment performance and its stability were also discussed. Most of the plants, have an operational problem of high soluble organic content in the secondary effluent which may be associated with the integrated treatment of human and livestock manures. Nitrogen concentration in the effluents were usually higher during the period of summer and winter. It was found that this is mainly due to lack of the proper C/N ratio during the summer, or/and the effects of low temperature and less dilution by dry weather during the winter. Phosphorus concentration is sharply increased in June. Discussion with plant operators told that it is due to the dissolution of phosphate from the sludge accumulated in the primary settling tanks from the early spring to june. During this period, usually, sludge treatment line is highly overloaded with flush-outs of the sediments also stored in the bottom of combined sewer due to the low flow during winter season. Most of the plants can meet new effluent discharge limits of the nitrogen and phosphorus, and total coliform without further treatment.

Observer-based Fault Tolerant Control for Constrained Switched Systems

  • Yang, Hao;Jiang, Bin;Cocquempot, Vincent
    • International Journal of Control, Automation, and Systems
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    • 제5권6호
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    • pp.707-711
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    • 2007
  • An observer-based fault tolerant control (FTC) method is proposed for constrained switched systems (CSS) with input constraints. A family of Lyapunov-based bounded controllers are designed to ensure that, whenever actuator faults occur at the dwell time period of each continuous mode, the mode is always within its corresponding stability region. A set of switching laws are designed to guarantee the asymptotic stability of the overall CSS. The fixed stability regions on which the FTC method is based are also relaxed by the proposed variable stability regions. An example of CPU processing illustrates the effectiveness of proposed method.

경사제 피복재의 안정성 해석을 위한 동력학적 신뢰성 모형 (Dynamic Reliability Model for Stability Analysis of Armor Units on Rubble-Mound Breakwater)

  • 이철응
    • 산업기술연구
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    • 제21권B호
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    • pp.163-174
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    • 2001
  • A dynamic reliability model for analyzing the stability of armor units on rubble-mound breakwater is mathematically developed by using Hudson's formula and definition of single-failure mode. The probability density functions of resistance and loading functions are defined properly, the related parameters to those probability density functions are also estimated straightforwardly by the first-order analysis. It is found that probabilities of failure for the stability of armor units on rubble-mound breakwater are continuously increased as the service periods are elapsed, because of the occurrence of repeated loading of random magnitude by which the resistance may be deteriorated. In particular, the factor of safety is incorporated into the dynamic reliability model in order to evaluate the probability of failure as a function of factor of safety. It may thus be possible to take some informations for optimal design as well as managements and repairs of armor units on rubble-mound breakwater from the dynamic reliability analyses.

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Storage stability of silk solution for viscosity and electrospinnability

  • Kim, Su Jin;Um, In Chul
    • International Journal of Industrial Entomology and Biomaterials
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    • 제33권2호
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    • pp.138-143
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    • 2016
  • In the present study, silk fibroin (SF) was dissolved in $CaCl_2/H_2O/EtOH$ solution at $85^{\circ}C$. After the dissolution, the SF solution was cooled down and stored at $4^{\circ}C$ for 28 d. The stability of the solution's viscosity and electrospinnability was observed to examine the stability of SF molecules during storage in $CaCl_2/H_2O/EtOH$ solution. The viscosities of $SF/CaCl_2/H_2O/EtOH$ solution and SF formic acid solution did not change during 28 days' storage of SF in $CaCl_2/H_2O/EtOH$ solution. The electrospinnability of the SF solution, mean diameter of the electrospun SF fiber, and crystallinity index of electrospun SF web did not change, regardless of the length of the storage period. These results imply that SF molecules do not degrade during 28 days' storage in $CaCl_2/H_2O/EtOH$ solution.

식품 소재로서 장미꽃잎 색소의 안정성 (Stability for Rose Petals Pigment as a Food Material)

  • 양미옥;조은자
    • 동아시아식생활학회지
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    • 제16권4호
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    • pp.468-473
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    • 2006
  • This study was conducted to develop pigment of flowers as a food material and the red rose(Rosa hybrida L.) was used for this study. To check the possibility of using the rose pigment as a food additive we have extracted the pigment from rose and examined all the factors (pH, temperature, free sugars, organic acids, metal ions) for stability. The results obtained are as follows: In examining the stability of the pigment, the residue of the pigment noticeably decreased with the increase of the pH and the temperature, and among free sugars (fructose, glucose, sucrose) the addition of fructose made the residue the lowest. With the addition of organic acids the samples exhibited the hyperchromic effect throughout the period of the storage. The pigment residue decreased when the amount of the metal ions increased and especially the Cu$^{2+}$ ion was most destructive.

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