• Title/Summary/Keyword: differential inequality

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LMI Based L2 Robust Stability Analysis and Design of Fuzzy Feedback Linearization Control Systems (LMI를 기반으로 한 퍼지 피드백 선형화 제어 시스템의 L2 강인 안정성 해석)

  • Hyun, Chang-Ho;Park, Chang-Woo;Park, Mignon
    • Journal of the Korean Institute of Intelligent Systems
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    • v.13 no.5
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    • pp.582-589
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    • 2003
  • This paper presents the robust stability analysis and design methodology of the fuzzy feedback linearization control systems. Uncertainty and disturbances with known bounds are assumed to be included Un the Takagi-Sugeno (TS) fuzzy models representing the nonlinear plants. $L_2$ robust stability of the closed system is analyzed by casting the systems into the diagonal norm bounded linear differential inclusions (DNLDI) formulation. Based on the linear matrix inequality (LMI) optimization programming, a numerical method for finding the maximum stable ranges of the fuzzy feedback linearization control gains is also proposed. To verify the effectiveness of the proposed scheme, the robust stability analysis and control design examples are given.

Kinematic Control of Redundant Robots in the Constrained Environment and Its Applicaiton to a Nozzle Dam Installation/Detachment Task in Nuclear Power Plants (구속된 환경에서의 여유자유도 로봇의 기구학적 제어와 원자력 발전소 노즐댐 장 /탈착작업에의 적용)

  • Park, Ki-Cheol;Chang, Pyung-Hun;Kim, Seung-Ho
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.12
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    • pp.3871-3882
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    • 1996
  • In this paper, a closed-form formulation for inverse kinematics of robot manipulators with kinematic redundancy under the constrained environment has been derived using the Kuhn-Tucker condition, the extended Lagrange multiplier method and the working set method. The proposed algorithm satisfies the necessaryand sufficient conditions for optimization subject to equality and inequality constraints. In addition, computationally efficient kinematic control methods have been proposed using differential kinemetics and gradient projection mehtod. The effectiveness of the proposed methods has been demonstrated with a 4-dof planar robot, and then a 7-dof spatial robot as a practical application to the nozzle dam task in the Nuclear Power Plant.

INERTIAL EXTRAPOLATION METHOD FOR SOLVING SYSTEMS OF MONOTONE VARIATIONAL INCLUSION AND FIXED POINT PROBLEMS USING BREGMAN DISTANCE APPROACH

  • Hammed A. Abass;Ojen K. Narain;Olayinka M. Onifade
    • Nonlinear Functional Analysis and Applications
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    • v.28 no.2
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    • pp.497-520
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    • 2023
  • Numerous problems in science and engineering defined by nonlinear functional equations can be solved by reducing them to an equivalent fixed point problem. Fixed point theory provides essential tools for solving problems arising in various branches of mathematical analysis, such as split feasibility problems, variational inequality problems, nonlinear optimization problems, equilibrium problems, complementarity problems, selection and matching problems, and problems of proving the existence of solution of integral and differential equations.The theory of fixed is known to find its applications in many fields of science and technology. For instance, the whole world has been profoundly impacted by the novel Coronavirus since 2019 and it is imperative to depict the spread of the coronavirus. Panda et al. [24] applied fractional derivatives to improve the 2019-nCoV/SARS-CoV-2 models, and by means of fixed point theory, existence and uniqueness of solutions of the models were proved. For more information on applications of fixed point theory to real life problems, authors should (see [6, 13, 24] and the references contained in).

Historical Implications of Residential Segregation in Busan, Korea (부산시 거주공간분화의 시대사적 함의)

  • Bae, Mi-Ae
    • Journal of the Korean association of regional geographers
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    • v.13 no.5
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    • pp.477-494
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    • 2007
  • This paper offers a brief overview of the historical implications of residential segregation in Busan, Korea. It first reviews the history of residence from the early 1900s to the present and the transition of residential boundary of the City of Busan. It then considers the characteristics of residential segregation and the important factors in it. The social class of pre-industrial society led the inequality of residential areas around the Eubchee. The existed Korean residential areas were separated by newly built-up residential areas in the Japanese colonial era. After the liberation from Japanese Rule and Korean War, rapid population growth made considerable slums across the City of Busan. These slums were an important factor to segregate residential areas from prosperous areas ever afterward. The socio-economic status has related to residential segregation through the formation of differential housing classes since 1990s. The historial analysis of these periods will offer an insight into how the dominant factors lead residential segregation in a specific period by promoting a more socio-economically integrated society.

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Factors Effect on Income-Gap Between Urban and Rural Area in China (중국 도·농 간 소득격차에 영향을 미치는 요인)

  • Nan, Xue Feng;Na, Seung-hwa
    • The Korean Journal of Franchise Management
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    • v.6 no.1
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    • pp.21-41
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    • 2015
  • The purpose of the study is to review the real situations of the income-gap between urban and rural areas which is focused on as one of the biggest issues revealed in the process of Chinese economic development and to find out which factors will alleviate or deteriorate such income-gap, also to find out such factors will effect differently on the regional characteristics. To analyze it, six factors such as industrialization-ratio, urbanization-ratio, tertiary industry-ratio, the level of both governmental educational support and agricultural support, and Chinese dual-economic structure are considered as explanatory variables, and OLS regression analysis was implemented to the factor data for the period of 1986-2007 about Chinese 31 districts(castles and cities). The results of the analysis show that both industrialization factors and urbanization factors affect significantly to alleviate income-gap between urban and rural areas, and as predicted, they also shows that dual-economic structure between urban and rural areas is the most biggest factors to enlarge the above mentioned income-gap. However, in accordance to the different level of economic development in eastern, central, and western districts the study shows that such factors will affect them differently respectively. The contents are as follows; In eastern district governmental educational support factor will affect the most great influence to alleviate the income-gap, in central district industrialization factor will affect the most great influence to alleviate the gap, and western district governmental agricultural support factor will affect the most great influence to alleviate the gap. Therefore, in solving the issue of income-gap between urban and rural areas in China we recommend that it is necessary for more differential policy in considering regional characteristics than unilateral policy to Chinese whole areas.

Regional Differential Growth and Spatial Division of Labor in Producer Service Industries (생산자서비스 산업의 차별적 성장과 공무적 분업화에 관한 연구)

  • 이희연
    • Journal of the Korean Regional Science Association
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    • v.6 no.2
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    • pp.123-147
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    • 1990
  • This paper examines the changing geography of producer service industries in the 1980s. The foci of this study are to analyze the regional distribution of each producer services, and to reveal the spatial linkage of producer services. Further this paper asserts the potential role of producer services for reducing the potential endogenous development in the periphery. During the 1981-86 period, producer service industries grew more rapidly than other service sectors and manufacturing sector. The main reason of the raid growth of producer services is attributable to an increase in demand for intermediate services from manufacturing firms. In order to compete an increasingly complex business environment, firms have expanded the amount of effort devoted to activities such as planning, coordination and control, and consequently have increased their use of producer services. The most distinctive feature of the location of producer services is spatial concentration into Seoul and surrounding region. Especially the degree of the concentration o business services into the Capital Region has been accelerating during the 1990s. The pattern of employment growth and regional distribution of producer services show a clear core / periphery disparity. Much of the regional inequality in producer services is largely due to variation in demand associated with the pattern of corporation headquarters with the pattern of corporation headquarters and branch plants location with large manufacturing firms. The analysis of spatial division of labor reflects that producer services are related to the location of headquarters in manufacturing industry. Headquarters in manufacturing firms and business service firms tend to cluster each other. Most of the headquarters spatially separated from branch offices are clustered heavily in Seoul. Especially headquarters of business services and insurance services are overwhelmingly concentrated into Seoul. The firms whose headquarters are located in Seoul have a linkage pattern on a nationwide scale. It is viewed have little potential for generating local multiplier effects and regional development. In the light of the result of this study, producer services are not likely to disperse soon to peripheral regions. Consequently the absence of policies directed at enhancing producer sevice in the periphery, concentration tendency would continue to reinforce the core's dominance at the expense of peripheral regions. From a regional perspective, the quality of a region's producer service sector is a key determinant of economic growth, since manu industrial location decisions are influenced by the differential availability of producer services among regions. Poor performance of producer services in peripheral regions seemed to be linked to the region's manufacturing base. Low-wage, standardized branch plants are not likely to induce the growth in knowledge intensive services associated with high-technology corporate headquarters. Producer services may help to create and attract new business including manufacturing firms, and also to enhance the productivity and competitiveness of local firms. Therefore the provision of service producing activities would be lead not only to generate and retain endogenous development but also to attract external firms, especially small and medium sized firms which have a lower propensity of internalized services. Hence, it may be more efficient to create and expanse new locally owned producer services rather than to attract branch plants of mult-locational firms in order to make indigenous economic development.

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