• Title/Summary/Keyword: rank inequality

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Design of $H_2$ and $H_{\infty}$ static output feedback controllers (정적출력궤환 $H_2$$H_{\infty}$ 제어기 설계)

  • Kim, Seog-Joo;Lee, Jong-Moo;Cheon, Jong-Min;Kwon, Soon-Man;Park, Min-Kook
    • Proceedings of the KIEE Conference
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    • 2005.07d
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    • pp.2564-2566
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    • 2005
  • This paper presents an iterative linear matrix inequality (LMI) method for $H_2$ and $H_{\infty}$ optimal static output feedback (SOF) control, which is expressed in terms of LMIs subject to an additional rank condition. We propose a linear Penalty function to penalize the rank constraint so that static $H_2$ and $H_{\infty}$ synthesis results in solving a series of convex LMI optimization problems. Numerical experiments for various $H_2$ and $H_{\infty}$ SOF synthesis were performed to demonstrate the effectiveness of the proposed algorithm.

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Reduced-order controller design via an iterative LMI method (반복 선형행렬부등식을 이용한 축소차수 제어기 설계)

  • Kim, Seog-Joo;Kwon, Soon-Man;Lee, Jong-Moo;Kim, Chun-Kyung;Cheon, Jong-Min
    • Proceedings of the KIEE Conference
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    • 2004.07d
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    • pp.2242-2244
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    • 2004
  • This paper deals with the design of a reduced-order stabilizing controller for the linear system. The coupled lineal matrix inequality (LMI) problem subject to a rank condition is solved by a sequential semidefinite programming (SDP) approach. The nonconvex rank constraint is incorporated into a strictly linear penalty function, and the computation of the gradient and Hessian function for the Newton method is not required. The penalty factor and related term are updated iteratively. Therefore the overall procedure leads to a successive LMI relaxation method. Extensive numerical experiments illustrate the proposed algorithm.

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Trends in the Wage Gap between the Government and the Private Sector over the Last Twenty Years and Their Policy Implications (지난 20년간(年間) 공무원(公務員) 처우(處遇)에 있어서 관민대등(官民對等) 정도(程度)의 비교(比較)와 정책과제(政策課題))

  • Cho, Woo Hyun;Lim, Chanyoung
    • Journal of Labour Economics
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    • v.23 no.1
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    • pp.65-80
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    • 2000
  • In this paper We measured average earnings differentials between the government and the private sector, the degree of earnings inequality within each sector, and estimated net earnings differentials between the public and private sector in 1982, 1985, 1990, 1995 and 1998, respectively. According to our estimation results, the public servants in Korea are being more paid than the private sector on the average, and have been enjoying higher net wage premium after controlling variables such as education level, job experience and occupation, etc. In terms of earning inequality within each sector, the public sector was proven to have very narrow earnings differentials between the top and the bottom, compared to quite large differentials in the private sector. Wide recognition that the public servants' compensation is lower in Korea seems quite wrong. The problem to be resolved is the earnings standardization in the public sector and the strong trend toward more equality in recent years. We recommend that the wage gap between the higher rank and the lower rank should be extended, and employment flexibility within the lower positions or ranks of the bureaucracy should be enhanced.

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Dissipation Inequality of LTI System Based on Pencil Model

  • Shibasato, Koki;Shiotsuki, Tetsuo;Kawaji, Shigeyasu
    • 제어로봇시스템학회:학술대회논문집
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    • 1998.10a
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    • pp.135-140
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    • 1998
  • The concept of dissipativity and passivity are of interest to us from a theoretical as well as a practical point of view. It is well known that the Riccati equation is derived from the dissipation inequality which expresses the fact that the system is dissipative; the energy stored inside the system doesn't exceed the amount of supply which flows into the system. The pencil model is regarded as a representation based on behavioral approach introduced by J.C. Willems. It has first order in the internal variable and zeroth order in the external variable. In general, any matrix pencil is transformed into a canonical form which is consist of several kind of sub-pencils, One of them has row full rank for $^\forall S\;\in\;\mathds{C}\;\bigcup{\infty}$, we call it under-determined mode of the model. In our opinion, most important properties of dynamical system lay in the mode. According to the properties of canonical form for pencil, it is shown that the storage function which characterizes the dissipativity of the system can be written as a LMI for the under-determined mode, if the system doesn't include impulse mode.

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Data-based Control for Linear Time-invariant Discrete-time Systems

  • Park, U. S.;Ikeda, M.
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1993-1998
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    • 2004
  • This paper proposes a new framework for control system design, called the data-based control approach or data space approach, in which the input and output data of a dynamical system is directly and solely used to analyze or design a control system without the employment of any mathematical models like transfer functions, state space equations, and kernel representations. Since, in this approach, most of the analysis and design processes are carried out in the domain of the data space, we introduce some notions of geometrical objects, e.g., the openloop and closed-loop data spaces, which serve as the system representations in the data space. In addition, we establish a relationship between the open-loop and closed-loop data spaces that the closed-loop data space is contained in the open-loop data space as one of its subspaces. By using this relationship, we can derive the data-based stabilization condition for a linear time-invariant discrete-time system, which leads to a linear matrix inequality with a rank constraint.

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The Relationship between Regional Material Deprivation and the Standardized Mortality Ratio of the Community Residents Aged 15-64 in Korea (우리나라에서의 지역의 물질적 결핍수준과 15-64세 인구 표준화사망비의 관계)

  • Jeong, Baek-Geun;Jung, Kap-Yeol;Kim, Joon-Youn;Moon, Ok-Ryun;Lee, Yong-Hwan;Hong, Young-Seoub;Yoon, Tae-Ho
    • Journal of Preventive Medicine and Public Health
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    • v.39 no.1
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    • pp.46-52
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    • 2006
  • Objectives: This study was performed to investigate the relationship between regional material deprivation and the standardized mortality ratios(SMRs) of community residents aged 15-64 in Korea. Methods: SMRs were investigated using the registered death data from 1995 to 2000 that was obtained from the Korean National Statistics Office with the denominators being drawn from the 1995 to 2000 census. Material deprivation was measured using the Townsend score that was calculated from the 1995 to 2000 census. The relationship between the regional material deprivation and the SMRs of the community residents aged 15-64 was investigated by using ANOVA, Spearman's rank correlation analysis and Pearson's correlation analysis. The trends in mortality inequality were investigated using the concentration index. Results: On the ANOVA, the SMRs of the men and women residents in the least deprived areas were the smallest and those in the most deprived areas were the largest. Spearman's rank correlation analysis, Pearson's correlation analysis and the concentration index revealed that significant positive relationships exist between the regional material deprivation and the SMRs of the community residents aged 15-64. Conclusions: This study suggests that there are mortality inequalities among the communities in Korea and part of this difference is due to the material deprivation of the community. Strategies aimed at reducing mortality inequalities among the communities will be needed to address economic inequalities. Further studies are needed to explore the mechanisms of how the regional deprivation influences on health and how the other factors of the community influence on the health of the community residents.

Dynamic Characteristic Analysis and LMI-based H_ Controller Design for a Line of Sight Stabilization System

  • Lee, Won-Gu;Kim, In-Soo;Keh, Joong-Eup;Lee, Man-Hyung
    • Journal of Mechanical Science and Technology
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    • v.16 no.10
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    • pp.1187-1200
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    • 2002
  • This paper is concerned with the design or an LMI (Linear Matrix Inequality) -based H$\infty$ controller for a line of sight (LOS) stabilization system and with its robustness performance. The linearization of the system is necessary to analyze various nonlinear characteristics, but the linearization entails modeling uncertainties which reduce its performance. In addition, the stability of the LOS can be adversely affected by angular velocity disturbances while the vehicle is moving. As the vehicle accelerates, all the factors that are Ignored and simplified for the linearization tend to Inhibit the performance of the system. The robustness in the face of these uncertainties needs to be assured. This paper employs H$\infty$ control theory to address these problems and the LMI method to provide a suitable controller with minimal constraints for the system. Even though the system matrix does not have a full rank, the proposed method makes it possible to design a H$\infty$ controller and to deal with R and S matrices for reducing the system order. It can be also shown that the proposed robust controller has a better disturbance attenuation and tracking performance. The LMI method is also used to enhance the applicability of the proposed reduced-order H$\infty$ controller for the system given. The LMI-based H$\infty$ controller has superior disturbance attenuation and reference input tracking performance, compared with that of the conventional controller under real disturbances.

Human Development Inequality Index and Cancer Pattern: a Global Distributive Study

  • Rezaeian, Shahab;Khazaei, Salman;Khazaei, Somayeh;Mansori, Kamyar;Moghaddam, Ali Sanjari;Ayubi, Erfan
    • Asian Pacific Journal of Cancer Prevention
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    • v.17 no.sup3
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    • pp.201-204
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    • 2016
  • This study aimed to quantify associations of the human development inequality (HDI) index with incidence, mortality, and mortality to incidence ratios for eight common cancers among different countries. In this ecological study, data about incidence and mortality rates of cancers was obtained from the Global Cancer Project for 169 countries. HDI indices for the same countries was obtained from the United Nations Development Program (UNDP) database. The concentration index was defined as the covariance between cumulative percentage of cancer indicators (incidence, mortality and mortality to incidence ratio) and the cumulative percentage of economic indicators (country economic rank). Results indicated that incidences of cancers of liver, cervix and esophagus were mainly concentrated in countries with a low HDI index while cancers of lung, breast, colorectum, prostate and stomach were concentrated mainly in countries with a high HDI index. The same pattern was observed for mortality from cancer except for prostate cancer that was more concentrated in countries with a low HDI index. Higher MIRs for all cancers were more concentrated in countries with a low HDI index. It was concluded that patterns of cancer occurrence correlate with care disparities at the country level.

A Phenomenological Study on Conflicts Experience by Women: Focused on the Case of Women in Small and Medium Size Enterprises (중소기업 직장 여성의 갈등경험에 대한 현상학적 연구)

  • NamGung, Eun-Jeong;Shin, Seong-Gene;Hur, Gyeong-Ho
    • Korean journal of communication and information
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    • v.41
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    • pp.337-382
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    • 2008
  • This study examined the case of women's conflict experience in small and medium size enterprises. Although the number of women working in business organizations is rapidly growing in Korea, discourse about them is still scarce. Some discourse about them focuses only on the productivity and inequality aspects within the organizations. Therefore, we need to examine their organizational lives through a more dynamic and performance based perspective. Especially, because conflicts experience by women within business organizations involve a variety of organizational interactions, they reveal the vivid reality with which working women face today. The existing conflict research studies focused on communication or interpersonal relationship are limited by the fact that they have primarily dealt with the variables such as conflict management styles. However, conflict research needs a more specific and wholistic interpretation because conflicts usually depend on their contexts and interaction dynamics. Therefore, the phenomenological methodology was employed as a more appropriate method for the current conflict study. Results shows that the two themes were identified regarding the conflict content. The first and second themes were the unfair situations and the hierarchical rank respectively. The three themes were identified regarding the attitudes about conflicts. They were the passive stance toward conflicts, the recognition of the gender difference, and the acknowledgement of the importance of the relational aspect respectively. Finally, three more themes were identified regarding the conflict management styles. The first, second and third themes were the passive responding, the aggressive responding and the positive conflict management respectively. In addition, the implications of the results and the suggestions for future studies were made.

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An Analysis for Urban Competitiveness of Global Cities & 7 Metropolitan Korean Cities using Oxford Economics Data (우리나라 7대 광역시와 세계 770개 도시 경쟁력 비교분석 - Oxford Economics 자료에 근거한 도시경쟁력 -)

  • Cho, Jae Ho
    • Journal of the Korean Regional Science Association
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    • v.33 no.4
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    • pp.3-17
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    • 2017
  • This study ranks by developing an urban competitiveness index of major global cities, including seven cities in Korea using data from the Global Cities Forecast (2013) provided by Oxford Economics. The City competitiveness index is selected from 18 indicators including scale index, ratio index, growth rate index while Gini coefficient is used for distribution index. In order to analyze the relationship between the competitiveness index and the distribution index, we use the LOGIT panel regression model. As a result, the increase in income inequality (Gini coefficient) has a negative effect on the economic growth rate in 5-year time lag shown statistically significant. We have compiled global rankings of 770 city competitiveness based upon 19 indicators by combining the global competitiveness index and the distribution index. The trend of rank shows that 7 Metropolitan Korean Cities are expected to decline substantially over the period. In particular, Seoul ranked $59^{th}$ in 2010 and $74^{th}$ in 2015. Its ranking is expected to be decline to $185^{th}$ in 2030. The declining competitiveness of Korean cities is expected to lead to a weakening of Korea's national competitiveness in the long run. Accordingly, it is imperative to identify problems and seek strategic plans to secure global urban competitiveness.