• Title/Summary/Keyword: STABILITY

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ON THE GENERAL DECAY STABILITY OF STOCHASTIC DIFFERENTIAL EQUATIONS WITH UNBOUNDED DELAY

  • Meng, Xuejing;Yin, Baojian
    • Journal of the Korean Mathematical Society
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    • v.49 no.3
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    • pp.515-536
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    • 2012
  • This work focuses on the general decay stability of nonlinear stochastic differential equations with unbounded delay. A Razumikhin-type theorem is first established to obtain the moment stability but without almost sure stability. Then an improved edition is presented to derive not only the moment stability but also the almost sure stability, while existing Razumikhin-type theorems aim at only the moment stability. By virtue of the $M$-matrix techniques, we further develop the aforementioned Razumikhin-type theorems to be easily implementable. Two examples are given for illustration.

Stability Criterion of Repetitive Control System Using Phase-Lead and Lag Compensator (진상,지상 보상기를 고려한 반복제어계의 안정성 판별)

  • 서진호;강병철;김상봉
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1997.04a
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    • pp.41-45
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    • 1997
  • To design a control system, it is a elementary point that the stability of the system should be guaranteed. Also, the phase of the system plays an important role for its frequence performance. In this paper, we present two stability criterion of repetitive control system with phase-lead and lag compensator. First, the stability criterion for the servo control system with phase-lead and lag compensator is shown by using small-gain theorem. Second, for the repetitive control system with the compensator, the stability criterion, also, is determined by using small-gain theorem. Two stability criterions show the same results that the stability depends on a coefficient of the phase-lead and lag compensator under some condition in servo control system and repetitive control system.

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Fall Risk Assessments Based on Postural and Dynamic Stability Using Inertial Measurement Unit

  • Liu, Jian;Zhang, Xiaoyue;Lockhart, Thurmon E.
    • Safety and Health at Work
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    • v.3 no.3
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    • pp.192-198
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    • 2012
  • Objectives: Slip and fall accidents in the workplace are one of the top causes of work related fatalities and injuries. Previous studies have indicated that fall risk was related to postural and dynamic stability. However, the usage of this theoretical relationship was limited by laboratory based measuring instruments. The current study proposed a new method for stability assessment by use of inertial measurement units (IMUs). Methods: Accelerations at different body parts were recorded by the IMUs. Postural and local dynamic stability was assessed from these measures and compared with that computed from the traditional method. Results: The results demonstrated: 1) significant differences between fall prone and healthy groups in IMU assessed dynamic stability; and 2) better power of discrimination with multi stability index assessed by IMUs. Conclusion: The findings can be utilized in the design of a portable screening or monitoring tool for fall risk assessment in various industrial settings.

- A Study on the RElationship between Marital Satisfaction and Marital Stability - (결혼만족도와 결혼안정성 간의 관계에 관한 일 연구)

  • 전춘애
    • Journal of the Korean Home Economics Association
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    • v.31 no.2
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    • pp.81-96
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    • 1993
  • The purpose of this study is to investigate how external pressures to remain married and alternative attractions to a marriage influence the relationship between marital satisfaction and marital stability. A total of 228 married women in Seoul responded to structured questionnaires. The major findings are as follows; 1. While the marital satisfaction is positively associated with the marital stability, the alternative attractions to a marriage are negatively associated with the marital stability. But there is no significant correlation between external pressures to remain married and marital stability. 2. The relationship strength between marital satisfaction and marital stability according to the level of external pressures to remain married and actual alternatives to a marriage is not appeared significant difference. 3. When the external pressures to remain marred are low and the imaginary alternatives to a marriage are low, marital satisfaction is the most powerful predictor of marital stability. 4. Whether wife has a job and marital satisfaction affected the marital stability independently.

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Mobility Stabilization of a $6\times6$ Robot Vehicle by Suspension Kinematics Reconfiguration (현가장치 기구 재구성에 의한 $6\times6$ 로봇차량의 기동성 안정화)

  • Baek, W.K.;Lee, J.W.
    • Journal of Power System Engineering
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    • v.14 no.3
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    • pp.39-45
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    • 2010
  • The dynamic stability of a robot vehicle can be enhanced by the Force-Angle Stability Margin concept that considers a variety of dynamic effects. To evaluate the robot vehicle stability, a SPI(stability performance index), which is a function of the suspension arm angles, was used. If the SPI has a minimum value, the robot vehicle has maximum stability. The FASM and SPI concepts were incorporated in the mobility simulation by using ADAMS and MATLAB/Simulink. The simulation results using these concepts showed significant improvements of the vehicle stability on rough terrains.

A Stop-and-Go Cruise Control Strategy with Guaranteed String Stability (String Stability를 보장하는 정지/서행 순항제어 시스템)

  • 박요한;이경수
    • Transactions of the Korean Society of Automotive Engineers
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    • v.10 no.6
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    • pp.227-233
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    • 2002
  • A vehicle longitudinal control strategy with guaranteed string stability for vehicle stop-and-go(SG) cruise control is presented in this paper. The SG cruise control systems should be designed such that string stability can be guaranteed in addition to that every vehicle in a string of SG cruise control vehicles must track any bounded acceleration and velocity profile of its preceding vehicle with a bounded spacing and velocity error. An optimal vehicle following control law based on the information of the 1311owing distance (clearance) and its velocity relative to the vehicle ahead (relative velocity) has been used and string stability analysis has been done based on the control law and constant time gap spacing policy, A validated multi-vehicle simulation package has been shown that the string stability analysis using the approximate model of the vehicle servo-loop which includes vehicle powertrain and brake control system dynamics is valid in the design of the SG cruise control law with guaranteed string stability.

The Hydrodynamic Stability of Natural Convection Flows Adjacent to an Inclined Isothermal Surface Submerged in Cold, Pure Water (순수한 찬물속에 잠겨있는 경사진 등온벽면 부근의 자연대류에 관한 수동력학적 안정성)

  • Hwang, Y.K.;Jang, M.R.
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.2 no.4
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    • pp.268-278
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    • 1990
  • Hydrodynamic stability equations are formulated for natural convection flows adjacent to a heated or cooled, inclined, isothermal surface in pure water at $4^{\circ}C$, where the density variation with temperature becomes nonlinear. The resulting stability equations, when reduced to ordinary differential equations by a similarity transformation, constitute a two-point boundary-value problem, which was solved numerically. It is found from the obtained stability results that the neutral stability curves are systematically shifted to have lower critical Grashof numbers, as the inclination angle of upward-facing plate increases. Also, the nose of the neutral stability curve becomes blunter as the angle increases. It implies that the greater the inclination of the upward-facing plate, the more susceptible of the flow to instability for the wide range of disturbance wave number and frequency.

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A Study on Relative Stability for Poppet Valve with Drain Orifice (드레인 오리피스를 갖는 포펫 밸브의 상대 안정도에 관한 연구)

  • Yun, S.N.;Jeong, H.H.;Seo, J.K.;Ham, Y.B.
    • 유공압시스템학회:학술대회논문집
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    • 2010.06a
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    • pp.12-17
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    • 2010
  • The poppet valve had used every field area due to high quality of leakage property and response characteristic. But this valve still has terrible disadvantage that is self-exited vibration. This problem affects stability of total system and raises noise. The researcher tries to reduce that self-exited vibration when valve was designed. The stability discriminant is the typical study to improve the performance of the poppet valve. This paper concerns about stability discriminant that uses poppet valve with a drain orifice. At the first, the mathematical model is computed from poppet valve. After that, the limitation of stability is calculated that based on Nyquist criterion. At the final, the stability discriminant is selected in each condition and the graph that shows stability in the system is drown by dimensionless quantity.

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Hybrid Voltage Stability Analysis (혼합형 전압안정도 해석)

  • Kim, Won-Gyeom;Kim, Geon-Jung;Ju, Un-Pyo;Lee, Sang-Jung
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.49 no.2
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    • pp.43-49
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    • 2000
  • It is a complex process to analyze power system voltage stability problems with all of the dynamics of a system, because a large power network system sophisticatedly consists of generators, lines, loads and so forth. So we considered the dynamics of loads so as to analyze voltage stability method- by carrying out an analysis of steady state voltage stability and dynamic voltage stability simultaneously. To perform a steady state voltage stability program in advance makes it possible to cut down on laborious calculations so that an analysis of dynamic voltage stability becomes concise. The validity and efficiency of the method presented in this paper were verified by applying the IEEE 14 bus system.

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Calculation of Combustion Stability Limits Using Linear Stability Analysis in Liquid Rocket Engines (액체 로켓엔진에서 선형 연소 불안정 해석을 이용한 연소 안정한계 곡선 계산)

  • Sohn, Chae-Hoon;Moon, Yoon-Wan;Huh, Hwan-Il
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.32 no.10
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    • pp.93-101
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    • 2004
  • A method to calculate stability limits is investigated to predict the characteristics of high-frequency combustion instability in liquid-propellant rocket engine. It is based on the theory of linear stability analysis proposed in previous works and useful to predict combustion stability at the beginning stage of engine development. The system of equations governing reactive flow in combustor has the simplified and linearized forms. The overall equation expressing stability limits is adopted. The procedures to evaluate quantitatively each term included in the equation are proposed. The thermo-chemical properties and flow variables required in the evaluation can be obtained from calculation of thermodynamic equilibrium, CFD results, and experimental test data. Based on the existent data, stability limits are calculated with actual rocket engine (KSR-III rocket engine). The present calculations show the reasonable stability limits in a quantitative manner and the stability characteristics of the engine are discussed. The prediction from linear stability analysis could be serve as the first approximation to the true prediction.