• 제목/요약/키워드: Absolute Stability Theory

검색결과 13건 처리시간 0.033초

Robust control of linear systems under structured nonlinear time-varying perturbations I - Analysis

  • Bambang, Riyanto-T.;Shimemura, Etsujiro
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1993년도 한국자동제어학술회의논문집(국제학술편); Seoul National University, Seoul; 20-22 Oct. 1993
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    • pp.81-87
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    • 1993
  • In this paper robust stability conditions are obtained for linear dynamical systems under structured nonlinear time-varying perturbations, using absolute stability theory and the concept of dissipative systems. The conditions are expressed in terms of solutions to linear matrix inequality(LMI). Based on this result, a synthesis methodology is developed for robust feedback controllers with worst-case H$_{2}$ perforrmance via convex optimization and LMI formulation.

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Numerical Nonlinear Stability of Traveling Waves for a Chemotaxis Model

  • Min-Gi Lee
    • Kyungpook Mathematical Journal
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    • 제63권2호
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    • pp.141-154
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    • 2023
  • We study the stability of traveling waves of a certain chemotaxis model. The traveling wave solution is a central object of study in a chemotaxis model. Kim et al. [8] introduced a model on a population and nutrient densities based on a nonlinear diffusion law. They proved the existence of traveling waves for the one dimensional Cauchy problem. Existence theory for traveling waves is typically followed by stability analysis because any traveling waves that are not robust against a small perturbation would have little physical significance. We conduct a numerical nonlinear stability for a few relevant instances of traveling waves shown to exist in [8]. Results against absolute additive noises and relative additive noises are presented.

차세대 고속철도 시스템해석을 위한 동역학 솔버 플랫폼 개발 (Development of a Dynamic Solver Platform for the Next Generation Railway Vehicle)

  • 윤지원;박태원;정성필;박성문;김영국;김영모
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2008년도 춘계학술대회 논문집
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    • pp.913-918
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    • 2008
  • When developing railway vehicle system, investigation of the dynamical stability is essential as a virtual prototyping process. Not only the verification using the commercial analysis tools, systematic analysis using customized tools is also necessary, because these can give other points of view in stability, which is sometimes unable to evaluate in the former one. As a solver platform for customization, it is important to derive basic theory about flexible bodies and build flexible structure, which enables easy module insertion of user-created functions. In the paper, a flexible dynamic analysis system is developed, using absolute cartesian coordinate, modal coordinate and absolute nodal coordinate. Each coordinate system is verified by respective examples for every system. This solver system will play an important role for building the basic platform for analysis system, keeping pace with the concurrent development of the modules, such as wheel-contact force, constraints and user-defined force modules. Using the information from the analysis, the evaluation of the dynamic behavior of the train and its stability analysis will be available.

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Haptic Friction Display of a Hybrid Active/Passive Force Feedback Interface

  • An, Jin-Ung;Kwon, Dong-Soo
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2005년도 ICCAS
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    • pp.1673-1678
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    • 2005
  • This paper addresses both theoretical and experimental studies of the stability of haptic interfaces during the simulation of virtual Coulomb friction. The first objective of this paper is to present an analysis of how friction affects stability in terms of the describing function method and the absolute stability theory. Two different feedback methods are introduced and are used to evaluate the analysis: an active force feedback, using a motor, and a passive force feedback, using controllable brake. The second objective of this paper is to present a comparison of the theoretical and experimental results. The results indicate that the sustained oscillations due to the limit cycle occur when simulating friction with an active force feedback. In contrast, a passive force feedback can simulate virtual friction without the occurrence of instability. In conclusion, a hybrid active/passive force feedback is proposed to simulate a highly realistic friction display.

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노인이 인지하고 있는 건강의 가치신념에 관한 연구 (A Study on Recognizing Value and Belief of Health with aged)

  • 신동순;홍춘실
    • 지역사회간호학회지
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    • 제7권1호
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    • pp.38-51
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    • 1996
  • There is a increasingly growing emphasis on health promotion, disease prevention and optimum functioning for peaple including the chronically ill and disabled. According as the purpose of the nursing is the promotion of health, the value and belief of heal th within the nursing paradigm need to be defined in every culture. The paradigm components must be explored for meaning given by the aged in their traditional thought and philosophy, The problem addressed by this qualitative study was how the aged recognize value and belief of health, which contribute to the development of Korean nursing theory. Theoretical support for the study was from Leininger's cultural care theory and Korean philosophy and traditional oriented thought. Literature review refers to literature on the aged, health of the aged, and definition and meaning of general health concept. Grounded theory methodology guied the research methodology and analysis to build a substantive theory. The informants were 119 from a variety of social levels and family patterns; traditionally the aged are responsible for the health. The concentrated interviewing period was from may to june, 1995 ; the interviews were done by the researcher with two supporter and most were recorded on audio tape. Result from analysis of base datas follows; The value and belief of health that emerged from the categories and properties were the physical stability, the stability of mind, the stability of mind and body, the smoothness (harmony) of body function, the family concord, and the perfection of self. These values and beliefs of health are affected by the cosmic dual forces thought is based on the Great Absolute, family principle of confucian scholar, and Buddism. Among the values and beliefs of health, family concord is found out Korean culture peculiarities. These values and beliefs are all integrated into the idea of health. The study provided implications for nursing theory research, education, and practice change and development.

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급속 응고한 Al-Pb 편정 합금의 조직과 성질;I. 급속 응고 조직 특성 (Structure and Properties of Rapidly-Solidified Al-Pb Monotectic Alloys.;I. Characteristics of Rapidly-Solidified Microstructure)

  • 김명호;배차헌;이호인
    • 한국주조공학회지
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    • 제9권1호
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    • pp.73-79
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    • 1989
  • Microstructural characteristics of Al-3.63wt.%Pb hyper-monotectic alloy rapidly-solidified by melt spinning were examined. Possibility of forming a planar liquid -solid interface during rapid solidification of this alloy was also considered with a morphological stability theory, and a mechanism of forming banded structure observed at the bottom parts of melt-spinned specimens was considered as well. Application of the absolute stability criterion predicts the liquid-solid interface of the primary aluminium phase to be able to maintain a planar interface during the early stage of rapid solidification. Formation of banded structure was supposed to be resulted from the release of latent heat during solidification, which affect the stability of a planar liquid-solid interface.

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유도탄 유도루프의 절대안정한 시간영역 (Absolutely Stable Region for Missile Guidance Loop)

  • 김종주;유준
    • 한국항공우주학회지
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    • 제36권3호
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    • pp.244-249
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    • 2008
  • 본 논문에서는 적분비례항법 유도방식을 사용하는 유도탄 유도루프에 대한 안정된 시간영역을 유도하였다. 고려된 유도탄 유도루프는 한 개의 선형 시불변요소와 시변 궤환이득으로 구성된 제어시스템으로 형식화될 수 있다. Circle criterion 을 적용함으로써 안정성이 보장되는 비행 잔여시간에 대한 한계치를 총 비행시간의 함수로 유도할 수 있었으며, Popov criterion 을 통해 얻는 결과에 비해 덜 보수적인 결과를 얻었다.

反復荷重을 받는 흙의 構成關係式 開發 (Development of Constitutive Equation for Soils Under Cyclic Loading Conditions)

  • 장병욱;송창섭
    • 한국농공학회지
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    • 제34권1호
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    • pp.41-48
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    • 1992
  • Various soil behaviors usually occurring in the geotechnical problems, such as, cutting and embankments, stability of slope, seepage, consolidations, shearing failures and liquefaction, should be predicted and analyzed in any way. An approach of these predictions may be followed by the development of the constitutive equations as first and subsequently solved by numerical methods. The purpose of this paper is develop the constitutive equation of sands uder monotonic or cyclic loadings. The constitutive equation which is based on elasto-plastic theory, modified anisotropic consolidated stress parameter by Sekiguchi et al and Pender's theory is derived. And the equation is included a new stress parameter, hardening function, Bauschinger's effects and Pender's theory. The model is later evaluated and confirmed the validity by the test data of Ottawa sand, Banwol sand Hongseong sand. The following conclustions may be drawn: 1. The consititutive equation which is based on elasto-plastic theory, modified anisotropic consolidated stress parpameter by Sekiguchi et al and Pender's theory is derived. The equation in included a new stress parameter, hardening function, Bauschinger's effect and Pender's theory. 2. For Ottawa sand, the result of the constitutive equation shows a better agreement than that of Oka et al. The result of axial strain agrees well with the tested data. However, the result of horizontal strain is little bit off for the cyclic loadings or large stress. It is thought that the deviation may be improved by considering Poisson's ratio and precise measurement of shear modulus. 3. Banwol sand is used for the strain and stress tests with different relative densitites and confining pressures. The predeicted result shows a good agreement with the tested data because the required material parameters were directly measurd and determined form this laboratory. 4. For Hongseong sand, the tests under same amplitude of cyclic deviatoric stress shows a similar result with the tested data in absolute strain. It shows the acute shape of turning point because the sine wave of input is used in the test but the serrated wave in prediction.

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확율유한요소법을 이용한 균질 사면의 신뢰성 해석 (The Reliability Analysis for Homogeneous Slope Stability Using Stochastic Finite Element Method)

  • 조래청;도덕현
    • 한국농공학회지
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    • 제38권5호
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    • pp.125-139
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    • 1996
  • This study was performed to provide the design method for soil structure which guarantees proper safety with uncertainty of soil parameters. For this purpose, the effect of uncertainty of soil parameters for slope stability was analyzed by Bishop's simplified method and Monte Carlo simulation(MC). And reliability analysis program, RESFEM, was developed by combining elastic theory, MC, FEM, SFEM, and reliability, which can consider uncertainty of soil parameters. For factor of safety(FS) 1.0 and 1.2 by Bishop's simplified method, the probability of failure(Pf) was analyzed with varying coefficient of variation(c.o.v.) of soil parameters. The Pf increased as c.o.v. of soil parameters increased. This implies that FS is not the absolute index of slope safety, and even if FS is same, it has different Pf according to c.o.v. of soil parameters. The RESFEM was able to express the Pf at each element in slope quantitatively according to uncertainty of soil parameters. The variation of Pf with uncertainty of soil parameters was analyzed by RESFEM, and it was shown that the Pf increased as the c.o.v. of soil parameters increased.

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미국의 패권전략과 한국 군사전략 발전방향 (Study on the Direction of Korea's National Defense Strategy Focused on the Hegemony Strategy of U.S.A.)

  • 김성우
    • 안보군사학연구
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    • 통권8호
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    • pp.239-270
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    • 2010
  • This thesis is to make an appropriate national defense policy of Republic of Korea through studying the Hegemony Strategy of United States. I searched the theory of hegemony. The hegemony was differently defined by the point of time and region. The strong power nations with the hegemony have been making efforts to maintain their hegemony everytime. I have conclusion that the presence of hegemony once emerged, it brought regional stability in place whether it is coercive or beneficial. The stability and instability of international order IS not exclusively dependent on hegemony. Even if the safety of hegemony cannot guarantee absolute stability of international order, there IS on doubt that the hegemony has enormous impact on that. According to the hegemonic theory, the history of mankind equals to the history of rising and falling hegemony. The international order was changed as the hegemony changes. The United States has been making efforts to maintain her global hegemony during the post cold-war era as well. Taking all these into consideration, relevant military strategy direction able to pursue national interest is that to make up for the relative weakness in the strategic environment. South Korea have to prepare security policy response as following. First, South Korea should build the military force equipped with advanced weapons in military technology sector and solidify military diplomatic relation able to form cooperative relation in wartime. Second, South Korea should make solid Alliance of Korea and U.S. Third, develop and maintain multilateral security cooperation of East Asia. Forth, we could realize that there are means that can neutralize opponent's strong point by seeking one or two and more asymmetry in the aspect of strategy, tactics, and means through asymmetric strategy. Than the military force of South Korea should develop into a force that is able to overcome to the traditional North Korea's threat and new type of conflicts. And the force should have sufficient strength and be deployed to effectively defend the Korean Peninsula. So, we need to establish a denial and defense system against any hostile neighboring country. Therefore, ROK military forces preparing for the future should try to construct a future military power to gradually establish enough strength for self-defense to prepare for a uncertain security environment and when the Korean Peninsula is unified in a future.

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