• Title/Summary/Keyword: criteria of stability

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EXISTENCE AND GLOBAL EXPONENTIAL STABILITY OF POSITIVE ALMOST PERIODIC SOLUTIONS FOR A DELAYED NICHOLSON'S BLOWFLIES MODEL

  • Xu, Yanli
    • Journal of the Korean Mathematical Society
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    • v.51 no.3
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    • pp.473-493
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    • 2014
  • This paper concerns with a class of delayed Nicholson's blowflies model with a nonlinear density-dependent mortality term. Under appropriate conditions, we establish some criteria to ensure that the solutions of this model converge globally exponentially to a positive almost periodic solution. Moreover, we give some examples and numerical simulations to illustrate our main results.

Improvement of Housing Market Related Laws and Policies Causing Sudden Changes according to the Application Criteria (적용기준에 따라 큰 변화를 수반하는 주택시장관련 법률 및 정책의 개선방안)

  • Lee, Yong-Seong;Kim, Kyung-Hwan
    • Korean Journal of Construction Engineering and Management
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    • v.20 no.5
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    • pp.12-20
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    • 2019
  • This study analyzes and suggests improvement direction for the problems of housing related market laws and policies that cause sudden changes according to the application criteria. These laws and policies include income deduction from housing subscription, monthly rent loan for housing stability, high price house, penalty points from poor quality construction, and real estate brokerage commission. Each has one or more specific values that decide application criteria causing noticeable different results. Benefit or loss can be decided when an application range is changed by a small difference of the application value near to the boundary. This study suggest to use equations instead of a certain values to remove those sudden changes and to make them steadily increasing slopes which can be lines or curves. The concept can be applied to other laws and policies that have significantly different results between criteria.

Proper Conditions of Structure to Prevent Eddy Creation in Cooling Water Intake Canal of Stream Power Plant (화력발전소 냉각 취수로내의 와류발생 방지를 위한 구조물의 적정조건검토)

  • 조진훈;천만복
    • Proceedings of the Korean Society of Agricultural Engineers Conference
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    • 1999.10c
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    • pp.465-472
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    • 1999
  • Hydraulic model tests are performed to find economical and hdrqulically stable design of cooling water intake channel of steam power plant. The result of tests show that the standard distributiion of y-components in the chamber of CWP(circulating Water Pump) are recommended below 3.5 to maintain hydraulic stability, so that this value is considered as the design criteria. Common basin is necessary to improve the hydraulic stability of inflow, however the longer basin does not always improve the hydraulic stability , and the optimal length of basin can be found in some range. From the results the flow stability maintained the best condition when the length of basin is 7.2m. Beside the standard tests the auxiliary tests like edge , baffle, trapezoidal section and increase of pump capacity are carried out based on the optimal condition foudn in the standard tests. From the series of tests the economical and hydraulically stable design of intake channel was proposed.

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Novel Results for Global Exponential Stability of Uncertain Systems with Interval Time-varying Delay

  • Liu, Yajuan;Lee, Sang-Moon;Kwon, Oh-Min;Park, Ju H.
    • Journal of Electrical Engineering and Technology
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    • v.8 no.6
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    • pp.1542-1550
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    • 2013
  • This paper presents new results on delay-dependent global exponential stability for uncertain linear systems with interval time-varying delay. Based on Lyapunov-Krasovskii functional approach, some novel delay-dependent stability criteria are derived in terms of linear matrix inequalities (LMIs) involving the minimum and maximum delay bounds. By using delay-partitioning method and the lower bound lemma, less conservative results are obtained with fewer decision variables than the existing ones. Numerical examples are given to illustrate the usefulness and effectiveness of the proposed method.

A Study on the Longitudinal Flight Control Law of T-50 (T-50 세로축 비행제어법칙 설계에 관한 연구)

  • Hwang Byung-moon;Kim Seong-Jun;Kim Chong-sup
    • Journal of Institute of Control, Robotics and Systems
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    • v.11 no.11
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    • pp.963-969
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    • 2005
  • An advanced method of Relaxed Static Stability (RSS) is utilized for improving the aerodynamic performance of modem version supersonic jet fighter aircraft. The flight control system utilizes RSS criteria in both longitudinal and lateral-directional axes to achieve performance enhancements and improve stability. The T-50 advanced trainer employs the RSS concept in order to improve the aerodynamic performance and the flight control law in order to guarantee aircraft stability, The T-50 longitudinal control laws employ the dynamic inversion and proportional-plus-integral control method. This paper details the design process of developing longitudinal control laws for the RSS aircraft, utilizing the requirement of MIL-F-8785C. In addition, This paper addresses the analysis of aircraft characteristics such as damping, natural frequency, gain and phase margin about state variables for longitudinal inner loop feedback design.

Improved Stability and Stabilization for Sampled-data Control System via Augmented Lyapunov-Krasovskii Functional (합성된 리아프노프 함수법을 통한 샘플링 된 데이터 제어 시스템의 향상된 안정화 조건 및 제어기 설계)

  • Lee, Chang-Ho;Lee, Seung-Hoon;Park, Myeong-Jin;Kwon, Oh-Min
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.66 no.1
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    • pp.127-136
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    • 2017
  • This paper investigates improved stability and stabilization criteria for sampled-data control systems. By using a suitable and newly constructed augmented Lyapunov-Krasovskii functional and some recent mathematic techniques such as auxiliary function-based integral inequalities, sufficient conditions for stability and stabilization conditions are derived within the framework of linear matrix inequalities(LMI) form. The superiority and validity of the proposed results are illustrated by three numerical examples.

A Study on Proportional and Derivative Control of Fluid Film Journal Bearings (유체 윤활 베어링의 비례 및 미분 제어에 관한 연구)

  • 노병후;김경웅
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 2001.06a
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    • pp.212-217
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    • 2001
  • This paper presents the stability characteristics of a rotor-bearing system supported by actively controlled hydrodynamic journal bearing. The proportional and derivative controls including coupled motion are adopted for the control algorithm to control the hydrodynamic journal bearing with a circumferentially groove. Also, the cavitation algorithm implementing the Jakobsson-Floberg-Olsson boundary condition is adopted to predict cavitation regions in the fluid film more accurately than conventional analysis which uses the Reynolds condition. The stability characteristics are investigated with the Routh-Hurwitz criteria using the linear dynamic coefficients which are obtained from the perturbation method. The stability characteristics of the rotor-bearing system supported by active controlled hydrodynamic journal bearing are investigated for various control gain. It is found that the speed at onset of instability is increased for both proportional and derivative control of the bearing, and the proportional and derivative control of coupled motion is more effective than proportional and derivative control of uncoupled motion.

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Thermal stability of superconducting systems conduction-cooled by cryocooler (극저온냉동기로 전도냉각되는 초전도시스템의 열적 안정성)

  • 권기범;장호명
    • Progress in Superconductivity and Cryogenics
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    • v.3 no.1
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    • pp.56-63
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    • 2001
  • The thermal stability conditions are investigated for superconducting magnet systems cooled conductively by cryocooler without liquid cryogens. The worst scenario in the systems is that the heat generation in the resistive state exceeds the refrigeration. causing a rise in the temperature of the magnet winding and leading to the burnout. It is shown by an analytical solution that in the continuous resistive state, the temperature may increase indefinitely or a stable steady-state may be reached, depending upon the relative size of the magnet with respect to the refrigeration capacity of the cryocooler. The stability criteria include the temperature-dependent Properties of the magnet materials and the refrigeration characteristics of the cryocooler. A useful graphical scheme is Presented and discussed to demonstrate the physical importance of the results.

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Assessment of Stability and Safety of Maskne Cosmetic

  • Minjung, Kim;Jeonghee, Kim
    • Journal of Fashion Business
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    • v.26 no.6
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    • pp.105-115
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    • 2022
  • Wearing a mask is still advised since COVID-19 continues to spread. However, masks may also irritate the skin and cause mask acne, often known as "maskne", which is a type of acne mechanica caused by friction between the skin and clothing. Therefore, there is a need to develop an effective maskne cosmetic. In this study, we made the maskne cosmetics containing humulus lupulus extract and copper tripeptide-1 and investigated its stability and safety. To measure stability, a centrifugation test and heat-cool cycling were done, and changes in viscosity and pH were measured for 8 weeks. The Cumulative Irritation Test (CIT, WKIRB-202111-HR-096) was performed and positive reactions were determined by the ICDRG criteria. The results indicated that the samples were stable after centrifugation, temperature cycling, viscosity, and pH tests. In addition, cosmetic safety test results revealed that maskne cosmetics containing humulus lupulus extract and copper tripeptide-1 did not cause any skin responses. These findings indicate that prepared maskne cosmetics' stability and safety were comparable to those of currently available commercial cosmetics.

Stability and minimum bracing for stepped columns with semirigid connections: Classical elastic approach

  • Aristizabal-Ochoa, J. Dario
    • Structural Engineering and Mechanics
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    • v.5 no.4
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    • pp.415-431
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    • 1997
  • Stability equations that evaluate the elastic critical axial load of stepped columns under extreme and intermediate concentrated axial loads in any type of construction with sidesway totally inhibited, partially inhibited and uninhibited are derived in a classical manner. These equations can be utilized in the stability analysis of framed structures (totally braced, partially braced, and unbraced) with stepped columns with rigid, semirigid, and simple connetions. The proposed column classification and the corresponding stability equations overcome the limitations of current methods which are based on a classification of braced and unbraced columns. The proposed stability equations include the effects of: 1) semirigid connections; 2) step variation in the column cross section at the point of application of the intermediate axial load; and 3) lateral and rotational restraints at the intermediate connection and at the column ends. The proposed method consists in determining the eigenvalue of a $2{\times}2$ matrix for a braced column at the two ends and of a $3{\times}3$ matrix for a partially braced or unbraced column. The stability analysis can be carried out directly with the help of a pocket calculator. The proposed method is general and can be extended to multi-stepped columns. Various examples are include to demonstrate the effectiveness of the proposed method and to verify that the calculated results are exact. Definite minimum bracing criteria for single stepped columns is also presented.