• 제목/요약/키워드: Attraction Region

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Estimating the Region of Attraction via collocation for autonomous nonlinear systems

  • Rezaiee-Pajand, M.;Moghaddasie, B.
    • Structural Engineering and Mechanics
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    • 제41권2호
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    • pp.263-284
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    • 2012
  • This paper aims to propose a computational technique for estimating the region of attraction (RoA) for autonomous nonlinear systems. To achieve this, the collocation method is applied to approximate the Lyapunov function by satisfying the modified Zubov's partial differential equation around asymptotically stable equilibrium points. This method is formulated for n-scalar differential equations with two classes of basis functions. In order to show the efficiency of the suggested approach, some numerical examples are solved. Moreover, the estimated regions of attraction are compared with two similar methods. In most cases, the proposed scheme can estimate the region of attraction more efficient than the other techniques.

관광매력물시스템모형과 관광목적지역디자인모형을 응용한 동부산권관광단지개발계획안 분석에 관한 연구 (A Study on the Application of the Tourist Attraction System Model and the Tourism Destination Region Design Model to Analyzing the Eastern Pusan Resort Master Plan)

  • 양위주
    • 한국항만학회지
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    • 제14권3호
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    • pp.279-290
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    • 2000
  • The purpose of this study is to suggest the analytical framework for a spatial structure of a tourism destination master plan by the two types of the tourism development models: Tourist attraction System Model and Tourism Destination Region Design Model. The resort development plan is introduced as a planning tool for regenerating the eastern Pusan regions, but the economic and environmental impacts and the sociocultural dilemma accompanied by the development should be fully considered before launching the business. The development plan announced currently is traced and examined in comparison with the upper-leveled and related plans. The Tourist Attraction System Model based on the systems theory is applied to the designated regions. The Tourism Destination Region Design Model then is applied for analyzing the components of each region on the master plan. The results of the findings suggest that the tourism destination plan is basically different from a general master plan on the physical comprehensive plan, the destination is recognized as a subsystem of the whole tourism system, and thus tourism destination plan is considered as a spatial arrangement of tourism facilities and the inter- and intra-circulation.

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유인수로의 운영에 따른 달성보 인공하도식 어도의 유인효율 평가 (Assessment of Attraction Efficiency of By-pass Fishway at Dalseong Weir According to Operating Attraction Waterway)

  • 박지현;구영훈;백경오;김영도
    • 한국물환경학회지
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    • 제31권1호
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    • pp.1-11
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    • 2015
  • In this study, the attraction efficiency of the by-pass fishway installed at Dalseong Weir in Nakdong River was assessed according to operation of the attraction waterway by using River2D which is a two-dimensional physical habitat simulation model. The model was calibrated and validated through the measured water elevation. The attraction efficiency of the fishway was evaluated at the low flow condition because the target fish, Zacco platypus (Z. platypus), have moved frequently up and downstream at the spawning season from April to June. From simulation results, it can be deduced that the attraction efficiency at situation of open attraction waterway is superior to that of close attraction waterway. Also it is shown that velocity field at inner region of the fishway is suitable for migration of the fish.

ESTIMATING THE DOMAIN OF ATTRACTION VIA MOMENT MATRICES

  • Li, Chunji;Ryoo, Cheon-Seoung;Li, Ning;Cao, Lili
    • 대한수학회보
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    • 제46권6호
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    • pp.1237-1248
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    • 2009
  • The domain of attraction of a nonlinear differential equations is the region of initial points of solution tending to the equilibrium points of the systems as the time going. Determining the domain of attraction is one of the most important problems to investigate nonlinear dynamical systems. In this article, we first present two algorithms to determine the domain of attraction by using the moment matrices. In addition, as an application we consider a class of SIRS infection model and discuss asymptotical stability by Lyapunov method, and also estimate the domain of attraction by using the algorithms.

NEWTON'S METHOD FOR EQUATIONS RELATED TO EXPONENTIAL FUNCTION

  • Jeong, Moonja
    • Korean Journal of Mathematics
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    • 제9권1호
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    • pp.67-73
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    • 2001
  • For some equation related with exponential function, we seek roots and find the properties of the roots. By using the relation of the roots and attractors, we find a region in the basin of attraction of the attractor at infinity for Newton's method for solving given equation.

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산학연관 협력네트워크를 활용한 강원도의 POSCO 유치 전략 (A Strategy for the Attraction of POSCO into Gangwon Province through the Collaborative Network of Industry-University Institute-Government)

  • 김인중;김석중;정성훈;김경환
    • 한국경제지리학회지
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    • 제13권4호
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    • pp.710-726
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    • 2010
  • 이 논문의 목적은 산업발전을 위한 불리한 입지여건을 지닌 강원도가 산학연관 협력적 네트워크를 통하여 POSCO 를 유치한 전략을 고찰하는 데 있다. 그러나 최근 POSCO의 마그네슘 제련공장을 강릉에 유치하게 되면서 강원도의 산업 발전은 새로운 국면을 맞이하고 있다. 강원도의 POSCO 마그네슘 제련공장 유치의 성공 요인은 다음과 같다. 첫째, 지자체와 지방연구소, 투자 대상 기업의 기술연구소, 지역의 연관 기업이 상호 협력적으로 역할 분담, 둘째, 지자체와 투자대상 기업, 연구소의 상호 배려에 입각한 합리적인 제안을 통해 형성한 신뢰, 셋째, 기업에 대한 철저한 분석을 토대로 수립한 기업 유치 전략, 마지막으로, 전방산업의 수요시장의 확보 등을 들 수 있다.

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영역 제거법의 확장을 통한 전체 최적화 알고리듬 개선 (A Global Optimization Algorithm Based on the Extended Domain Elimination Method)

  • 오승환;이병채
    • 대한기계학회논문집A
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    • 제24권1호
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    • pp.240-249
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    • 2000
  • An improved global optimization algorithm is developed by extending the domain elimination method. The concept of triangular patch consists of two or more trajectories of local minimizations is introduced to widen the attraction region of the domain elimination method. Using the an-]c between each of three vertices of the patch and a design point, we measure the proximity, between the design point and the patch. With the Gram-Schimidt orthonormalization, this method can be extended to general n-dimensional problems. We code the original domain elimination algorithm and a patch-based algorithm. Then we compare the performance of two algorithms. Through the well-known example problems. the algorithm using patch is shown to be superior to the original domain elimination algorithm in view of computational efficiency.

비례솔레노이드 액추에이터를 이용한 압력제어밸브 (Pressure Control Valve using Proportional Electro-magnetic Solenoid Actuator)

  • 함영복;박평원;윤소남
    • 대한기계학회논문집A
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    • 제30권10호
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    • pp.1202-1208
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    • 2006
  • This paper presents an experimental characteristics of electro-hydraulic proportional pressure control valve. In this study, poppet and valve body which are assembled into the proportional solenoid were designed and manufactured. The constant force characteristics of proportional solenoid actuator in the control region should be independent of the plunger position in order to be used to control the valve position in the fluid flow control system. The stroke-force characteristics of the proportional solenoid actuator is determined by the shape (or parameters) of the control cone. In this paper, steady state and transient characteristics of the solenoid actuator for electro-hydraulic proportional valve are analyzed using finite element method and it is confirmed that the proportional solenoid actuator has a constant attraction force in the control region independently on the stroke position. The effects of the parameters such as control cone length, thickness and taper length are also discussed.

Derivation of a Group of Lyapunov Functions reflecting Damping Effects and its Application

  • Moon, Young-Hyun;Park, Byoung-Kon;Cho, Byoung-Hoon;Roh, Tae-Hoon
    • Journal of Electrical Engineering and information Science
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    • 제3권3호
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    • pp.322-329
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    • 1998
  • Stability analysis of nonlinear systems is mostly based on the Lyapunov stability theory. The well-known Lyapunov function method provides precise and rigorous theoretical backgrounds. However, the conventional approach to direct stability analysis has been performed without taking account of damping effects, which is pointed as a minor but crucial drawback. For accurate has been performed without taking account of damping effects, which is pointed as a minor but crucial drawback. For accurate stability analysis of nonlinear systems, it is required to take the damping effects into account. This paper presents a new method to derive a group of Lyapunov functions to reflect the damping effects by considering the integral relationships of the system governing equations. A systematical approach is developed to convert a part of damping loss into some appropriate system energy terms. Examples show that the proposed method remarkably improves the estimation of the region of attraction compared considering damping effects. The proposed method can be utilized as a useful tol to determine the region of attraction.

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지역마케팅이 기업유치에 미치는 영향요인에 관한 연구 (A study on the Region Marketing Influencing on the Businesses Attraction)

  • 이승희;이홍희;남유진;김영수;도재홍
    • 디지털융복합연구
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    • 제8권3호
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    • pp.63-77
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    • 2010
  • 본 연구의 목적은 지역마케팅이 국내외 기업유치에 미치는 영향 요인을 살펴보는데 있다. 선행연구 및 과거사례를 근거로 본 연구를 위한 가설을 설정하였고, 도시태도 및 투자결정에 영향을 미치는 변수를 경영환경, 생활환경, 시장성, 투자지원환경으로 분류하여 분석하였다. 그 결과 시장성과 투자지원환경 도시태도와 투자결정에 정의(+)의 결과를 보였으며, 도시태도 역시 투자결정에 정의(+)결과를 보였다.

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