• 제목/요약/키워드: Minimum-Norm

검색결과 79건 처리시간 0.026초

선형행렬부등식을 이용한 불확실성 이산시간 특이시스템의 강인 보장비용 상태궤환 제어기 설계 (Design of Robust Guaranteed Cost State Feedback Controller for Uncertain Discrete-time Singular Systems using LMI)

  • 김종해
    • 전기학회논문지
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    • 제57권8호
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    • pp.1429-1433
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    • 2008
  • In this paper, we consider the design method of robust guaranteed cost controller for discrete-time singular systems with norm-bounded time-varying parameter uncertainty. In order to get the optimum(minimum) value of guaranteed cost, an optimization problem is given by linear matrix inequality (LMI) approach. The sufficient condition for the existence of controller and the upper bound of guaranteed cost function are proposed in terms of strict LMIs without decompositions of system matrices. Numerical examples are provided to show the validity of the presented method.

GENERAL ITERATIVE ALGORITHMS FOR MONOTONE INCLUSION, VARIATIONAL INEQUALITY AND FIXED POINT PROBLEMS

  • Jung, Jong Soo
    • 대한수학회지
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    • 제58권3호
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    • pp.525-552
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    • 2021
  • In this paper, we introduce two general iterative algorithms (one implicit algorithm and one explicit algorithm) for finding a common element of the solution set of the variational inequality problems for a continuous monotone mapping, the zero point set of a set-valued maximal monotone operator, and the fixed point set of a continuous pseudocontractive mapping in a Hilbert space. Then we establish strong convergence of the proposed iterative algorithms to a common point of three sets, which is a solution of a certain variational inequality. Further, we find the minimum-norm element in common set of three sets.

SOLVING QUASIMONOTONE SPLIT VARIATIONAL INEQUALITY PROBLEM AND FIXED POINT PROBLEM IN HILBERT SPACES

  • D. O. Peter;A. A. Mebawondu;G. C. Ugwunnadi;P. Pillay;O. K. Narain
    • Nonlinear Functional Analysis and Applications
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    • 제28권1호
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    • pp.205-235
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    • 2023
  • In this paper, we introduce and study an iterative technique for solving quasimonotone split variational inequality problems and fixed point problem in the framework of real Hilbert spaces. Our proposed iterative technique is self adaptive, and easy to implement. We establish that the proposed iterative technique converges strongly to a minimum-norm solution of the problem and give some numerical illustrations in comparison with other methods in the literature to support our strong convergence result.

공간적 채널 상관도에 따른 통계적인 채널 특성을 이용한 다중 안테나 선택 및 스위칭 시스템의 성능 분석 (Theoretical Analysis of MIMO Antenna Selection & Switching System to Spatial Channel Correlation using Channel Statistics)

  • 이학주;박승일;이충용;박현철;홍대식
    • 대한전자공학회논문지TC
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    • 제42권4호
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    • pp.15-20
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    • 2005
  • 일반적으로 공간적 상관도가 존재하는 채널에서 다중 안테나 시스템은 그 성능이 열화되는 것으로 알려져 있다. 이를 극복하기 위한 방안으로 안테나 선택을 통해 공간적 상관도를 극복하고 다이버시티와 공간 다중화의 스위칭을 통해서 시스템의 에러 확률을 개선하는 안테나 선택 및 스위칭 시스템 방식을 들 수 있다. 그러나 이러한 시스템의 경우 채널의 공간적 상관도에 대한 모델링의 어려움으로 인해 이론적인 분석이 미비한 실정이다. 본 논문에서는 채널의 Frobenius norm과 최소 고유치들의 통계적인 특성을 이용하여 안테나 선택 및 스위칭 시스템의 성능을 이론적으로 분석하고, 모의 실험 결과와의 비교를 통해 유사한 성능을 보이고 있음을 확인한다.

QoS Constrained Optimization of Cell Association and Resource Allocation for Load Balancing in Downlink Heterogeneous Cellular Networks

  • Su, Gongchao;Chen, Bin;Lin, Xiaohui;Wang, Hui;Li, Lemin
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제9권5호
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    • pp.1569-1586
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    • 2015
  • This paper considers the optimal cell association and resource allocation for load balancing in a heterogeneous cellular network subject to user's quality-of-service (QoS) constraints. We adopt the proportional fairness (PF) utility maximization formulation which also accommodates the QoS constraints in terms of minimum rate requirements. With equal resource allocation this joint optimization problem is either infeasible or requires relaxation that yields a solution which is difficult to implement. Nevertheless, we show that this joint optimization problem can be effectively solved without any priori assumption on resource allocation and yields a cell association scheme which enforces single BS association for each user. We re-formulated the joint optimization problem as a network-wide resource allocation problem with cardinality constraints. A reweighted heuristic l1-norm regularization method is used to obtain a sparse solution to the re-formulated problem. The cell association scheme is then derived from the sparsity pattern of the solution, which guarantees a single BS association for each user. Compared with the previously proposed method based on equal resource allocation, the proposed framework results in a feasible cell association scheme and yields a robust solution on resource allocation that satisfies the QoS constraints. Our simulations illustrate the impact of user's minimum rate requirements on cell association and demonstrate that the proposed approach achieves load balancing and enforces single BS association for users.

Optimal Structural Design for Flexible Space Structure with Control System Based on LMI

  • Park, Jung-Hyen;Cho, Kyeum-Rae
    • Journal of Mechanical Science and Technology
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    • 제16권1호
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    • pp.75-82
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    • 2002
  • A simultaneous optimal design problem of structural and control systems is discussed by taking a 3-D truss structure as an object. We use descriptor forms for a controlled object and a generalized plant because the structural parameters appear naturally in these forms. We consider a minimum weight design problem for structural system and disturbance suppression problem for the control system. The structural objective function is the structural weight and the control objective function is $H_{\infty}$ norm from the disturbance input to the controlled output in the closed-loop system. The design variables are cross sectional areas of the truss members. The conditions for the existence of controller are expressed in terms of linear matrix inequalities (LMI) By minimizing the linear sum of the normalized structural objective function and control objective function, it is possible to make optimal design by which the balance of the structural weight and the control performance is taken. We showed in this paper the validity of simultaneous optimal design of structural and control systems.

뇌파 기반 실시간 뇌활동 모니터링 시스템의 타당성 조사 (Feasibility Study of EEG-based Real-time Brain Activation Monitoring System)

  • 채희제;임창환;이승환
    • 대한의용생체공학회:의공학회지
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    • 제28권2호
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    • pp.258-264
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    • 2007
  • Spatiotemporal changes of brain rhythmic activity at a certain frequency have been usually monitored in real time using scalp potential maps of multi-channel electroencephalography(EEG) or magnetic field maps of magnetoencephalography(MEG). In the present study, we investigate if it is possible to implement a real-time brain activity monitoring system which can monitor spatiotemporal changes of cortical rhythmic activity on a subject's cortical surface, neither on a sensor plane nor on a standard brain model, with a high temporal resolution. In the suggested system, a frequency domain inverse operator is preliminarily constructed, considering the individual subject's anatomical information, noise level, and sensor configurations. Spectral current power at each cortical vertex is then calculated for the Fourier transforms of successive sections of continuous data, when a single frequency or particular frequency band is given. An offline study which perfectly simulated the suggested system demonstrates that cortical rhythmic source changes can be monitored at the cortical level with a maximal delay time of about 200 ms, when 18 channel EEG data are analyzed under Pentium4 3.4GHz environment. Two sets of artifact-free, eye closed, resting EEG data acquired from a dementia patient and a normal male subject were used to show the feasibility of the suggested system. Factors influencing the computational delay are investigated and possible applications of the system are discussed as well.

Breast Imaging Using Electrical Impedance Tomography: Correlation of Quantitative Assessment with Visual Interpretation

  • Zain, Norhayati Mohd;Chelliah, Kanaga Kumari
    • Asian Pacific Journal of Cancer Prevention
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    • 제15권3호
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    • pp.1327-1331
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    • 2014
  • Background: Electrical impedance tomography (EIT) is a new non-invasive, mobile screening method which does not use ionizing radiation to the human breast; allows conducting quantitative assessment of the images besides the visual interpretation. The aim of this study was to correlate the quantitative assessment and visual interpretation of breast electrical impedance tomographs and associated factors. Materials and Methods: One hundred and fifty mammography patients above 40 years and undergoing EIT were chosen using convenient sampling. Visual interpretation of the images was carried out by a radiologist with minimum of three years experience using the breast imaging - electrical impedance (BI-EIM) classification for detection of abnormalities. A set of thirty blinded EIT images were reinterpreted to determine the intra-rater reliability using kappa. Quantitative assessment was by comparison of the breast average electric conductivity with the norm and correlations with visual interpretation of the images were determined using Chi-square. One-way ANOVA was used to compare the mean electrical conductivity between groups and t-test was used for comparisons with pre-existing Caucasians statistics. Independent t-tests were applied to compare the mean electrical conductivity of women with factors like exogenous hormone use and family history of breast cancer. Results: The mean electrical conductivity of Malaysian women was significantly lower than that of Caucasians (p<0.05). Quantitative assessment of electrical impedance tomography was significantly related with visual interpretation of images of the breast (p<0.05). Conclusions: Quantitative assessment of electrical impedance tomography images was significantly related with visual interpretation.

휘도를 고려한 기준색 선택 기반의 다단계 벡터 오차 확산법 (Multi-level Vector Error Diffusion Based on Primary Color Selection Considering Lightness)

  • 박태용;조양호;이명영;하영호
    • 대한전자공학회논문지SP
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    • 제41권5호
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    • pp.77-85
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    • 2004
  • 본 논문에서는 64개 기준색을 사용한 다단계 벡터 오차 확산법에서 나타나는 밝은 영역에서의 색 자극 문제를 개선하는 방법을 제안하였다. 벡터 오차 확산법은 양자화 과정에서 입력 벡터와 기준색 벡터간의 기하학적 거리만을 이용하기 때문에 밝은 영역에서 어두운 기준색이 선택되는 색 자극이 발생한다 이러한 문제를 해결하기 위해서 오차 보정된 입력 벡터의 채도를 계산하여 유채색과 무채색으로 나누고, 유채색일 경우 입력 벡터의 휘도를 이용하여 밝은 영역, 중간 밝기 영역, 어두운 영역으로 구분한다. 밝은 영역일 경우 60개 유채색 기준색중에서 입력 벡터와의 휘도차가 작은 N개의 후보 기준색을 구성한다. 최종 기준색을 선택할 때는 N개의 후보 기준색과 4개의 무채색 기준색중에서 오차 보정된 입력 벡터와의 최소 기하학적 거리를 가지는 기준색을 출력색으로 결정한다 실험 결과, 제안한 방법은 자은 영역에서 색 자극이 줄어들어 시각적으로 보기 좋은 결과를 보였다.

일제강점기 가정박람회에 나타난 이상주거 (Ideal Housing in the Home Exposition Under the Japanese Colonial Rule)

  • 양세화;류현주;은난순
    • 대한가정학회지
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    • 제47권1호
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    • pp.45-54
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    • 2009
  • The purpose of the study is to examine the characteristics of the ideal housing for the modern family suggested by the Home Exposition (September, 1915) under the Japanese colonial rule in the macroscopic context of social change and the microscopic context of family. Through this research, we expect to have a partial understanding not only of changes in the outward appearance of traditional housing spaces during the civilization period and the early Japanese colonial rule when foreign cultures began to be introduced but also of families'residential lives and the patterns of change in people's consciousness of housing. Major conclusions from the current analysis are as follows. First, there were some changes in family paradigm induced through a home exhibition. Second, the most important factor for an ideal housing was that it must be the source of harmonic and healthy family life. Third, the importance of an appropriate space norm should be emphasized by providing the minimum size of each room. Fourth, the significance of the housing values of the economy, convenience, and hygiene should be emphasized for the ideal housing. Lastly, it was implied that for an ideal housing, the social and psychological aspects of housing must be satisfied along with the physical aspects. The limitation was that the model of ideal family housing presented in the Home Exposition cannot exclude the characteristics of the colonial perspectives in that it was followed by the model for the Japanese families.