• Title/Summary/Keyword: norm function

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H-infinity controller design for robust speed control against disturbance and model uncertainty of DC motors (외란과 모델 불확실성에 강인한 DC모터의 속도 제어용 H-infinity 제어기 설계)

  • JEONG, Tae-Young;KIM, Dong-Geun
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.58 no.3
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    • pp.241-250
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    • 2022
  • This paper describes the design of H-infinity controller for robust control of a DC motor system. The suggested controller can ensure robustness against disturbance and model uncertainty by minimizing H-infinity norm of the transfer function from exogenous input to performance output and applying the small gain theorem. In particular, the controller was designed to reduce the effects of disturbance and model uncertainty simultaneously by formalizing these problems as a mixed sensitivity problem. The validity of the proposed controller was demonstrated by computer simulations and real experiments. Moreover, the effectiveness of the proposed controller was confirmed by comparing its performance with PI controller, which was tested under the same experimental condition as the H-infinity controller.

STUDY OF YOUNG INEQUALITIES FOR MATRICES

  • M. AL-HAWARI;W. GHARAIBEH
    • Journal of applied mathematics & informatics
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    • v.41 no.6
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    • pp.1181-1191
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    • 2023
  • This paper investigates Young inequalities for matrices, a problem closely linked to operator theory, mathematical physics, and the arithmetic-geometric mean inequality. By obtaining new inequalities for unitarily invariant norms, we aim to derive a fresh Young inequality specifically designed for matrices.To lay the foundation for our study, we provide an overview of basic notation related to matrices. Additionally, we review previous advancements made by researchers in the field, focusing on Young improvements.Building upon this existing knowledge, we present several new enhancements of the classical Young inequality for nonnegative real numbers. Furthermore, we establish a matrix version of these improvements, tailored to the specific characteristics of matrices. Through our research, we contribute to a deeper understanding of Young inequalities in the context of matrices.

A Study on the Improvement of Systemicity and Compatibility in The Framework Act On Science And Technology (과학기술기본법의 체계성 및 정합성 제고를 위한 개정방안)

  • Yoon, Chongmin
    • Journal of Korea Technology Innovation Society
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    • v.17 no.1
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    • pp.95-123
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    • 2014
  • Recently, as the role of science and technology in social domain is more increased and the creative economy becomes a important matter in national development strategy, it is necessary that the improvement of legal system on science and technology for efficiently responding to paradigm shift into Innovation driven science and technology policy. Especially, The Framework Act On Science And Technology as a general and basic norm on science and technology policy is necessary to revise in systematic and substantial aspect in order to correspond with changed environment and current of the times. The Framework Act On Science And Technology was established in 2001 and revised several times, but substantial amendment reflecting the political facts as the need to demand was insufficient because it was revised only related with restructuring the government organization and changing the S&T Policy Coordinating Committee system. And therefore, this paper aims to review the problems and complementary factors and suggest the improvement draft on The Framework Act On Science And Technology. According to study, the revision methodologies are following : first, the Chapter and Paragraph of the law should be restructured to improve the systemicity, next the comprehensiveness, effectiveness, connections with related special laws and compatibility of the law should be complemented by adding the new provision or amending the inadequate provision to improve the position and function as a general and basic norm.

Study on the Correlation between Digital Infrared Thermal Imaging-induced Severity of Cold Hypersensitivity of Hands and Feet and Heart Rate Variability (Digital Infrared Thermal Imaging에 따른 수족냉증 중증도와 Heart Rate Variability의 상관관계 연구)

  • Woo, Hye-Lin;Pak, Yeon-Kyeong;Kim, Joon-Ho;Park, Kyoung-Sun;Hwang, Deok-Sang;Lee, Jin-Moo;Jang, Jun-Bock;Lee, Chang-Hoon
    • The Journal of Korean Obstetrics and Gynecology
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    • v.29 no.3
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    • pp.1-9
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    • 2016
  • Objectives: Cold Hypersensitivity of Hands and Feet (CHHF) has been diagnosed objectively by Digital Infrared Thermal Imaging (DITI) and has been known to be associated with autonomic nervous system (ANS), which can be assessed by Heart Rate Variability (HRV). This study evaluated the correlation between severity of CHHF and HRV variables.Methods: We studied 155 non-menopausal women with CHHF who visited Kyung Hee University Hospital at Gangdong from 01 October 2013 to 30 April 2016. We measured DITI and HRV of each patient. We used DITI to calculate the severity of CHHF with thermal difference between upper arm (L4, 俠白穴) and palm (P8, 勞宮穴) of both hands and anterior thigh (ST32, 伏兎穴) and dorsum of foot (LI3, 太衝穴) of both feet. The correlation between severity of CHHF and HRV variables were analyzed.Results: In time domain analysis, there was significantly positive correlation between the severity of CHHF and both SDNN and RMSSD. In frequency domain analysis, there was significantly positive correlation between the severity of CHHF and TP, HF and HF Norm while there was significantly negative correlation between the severity of CHHF and LF Norm as well as between the severity of cold hypersensitivity of both hands and LF/HF ratio.Conclusions: The more severe CHHF is, the more increased the function of parasympathetic nerve system (PNS) and relatively decreased the function of sympathetic nerve system (SNS) is. Also, it has known that cold hypersensitivity could be caused by deficiency syndrome and qi deficiency has the same ANS tendency as CHHF. Therefore, in practical fields, this result can be helpful in planning treatment and deciding prognosis in respect of deficiency syndrome.

Development and Implementation of a 2-Phase Calibration Method for Gravity Model Considering Accessibility (접근성 지표를 도입한 중력모형의 2단계 정산기법 개발 및 적용)

  • CHOI, Sung Taek;RHO, Jeong Hyun
    • Journal of Korean Society of Transportation
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    • v.33 no.4
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    • pp.393-404
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    • 2015
  • Gravity model has had the major problem that the model explains the characteristics of travel behavior with only deterrence factors such as travel time or cost. In modern society, travel behavior can be affected not only deterrence factors but also zonal characteristics or transportation service. Therefore, those features have to be considered to estimate the future travel demand accurately. In this regard, there are two primary aims of this study: 1. to identify the characteristics of inter-zonal travel, 2. to develop the new type of calibration method. By employing accessibility variable which can explain the manifold pattern of trip, we define the zonal travel behavior newly. Furthermore, we suggest 2-phase calibration method, since existing calibration method cannot find the optimum solution when organizing the deterrence function with the new variables. The new method proceeds with 2 steps; step 1.estimating deterrence parameter, step 2. finding balancing factors. The validation results with RMSE, E-norm, C.R show that this study model explains the inter-zonal travel pattern adequately and estimate the O/D pairs precisely than existing gravity model. Especially, the problem with estimation of short distance trip is overcomed. In conclusion, it is possible to draw the conclusion that this study suggests the possibility of improvement for trip distribution model.

Comparison of Executive function in Children with ADHD, Asperger's Disorder, and Learning Disorder (주의력결핍과잉행동 장애, 아스퍼거 장애, 학습 장애 아동의 실행기능 비교)

  • Shin Min-Sup;Kim Hyun-Mi;On Shine-Geal;Hwang Jun-Won;Kim Boong-Nyun;Cho Soo-Churl
    • Journal of the Korean Academy of Child and Adolescent Psychiatry
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    • v.17 no.2
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    • pp.131-140
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    • 2006
  • Objectives : This study was conducted to investigate the deficits of executive function in children with ADHD, Asperger's Disorder(AD), and teaming disorder (LD), and to identify the differential characteristics of executive function deficits among three groups. Methods : The clinical group consisted of 46 children between the ages of 7 and 15 (16 ADHD, 16 LD, 14 AD). Neuropsychological tests for measuring cognitive function, attention and executive function were individually administered to children, and their performance scores were calculated based on the age norm for each test. Results : There was no significant difference in FSIQ, VIQ, and PIQ among the three groups. However, the AD group tended to show higher scores on the subtests of Information, Vocabulary and Digit Span, and lower score on Comprehension subtest than the ADHD and LD groups, while the LD group tended to show the lowest scores on the Information and Vocabulary subtests. On ADS, the ADHD group showed the highest omission and commission errors. All groups showed poor performances belonging to below 25 percentile ranks on executive function tests when compared to the age norms of normative group. The number of completed category on WCST was the smallest in the ADHD group, while the working memory score was the lowest in the LD group. Conclusion : These results suggest that ADHD, LD, and AD children have executive function deficit in common. However, the specific deficit areas in executive function are different for each group.

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Study on the Solution of the Assignment Model Based on an Asymmetric Cost Function (비대칭 비용함수 기반의 통행배정모형 해석에 관한 연구)

  • Park, Jun-Hwan;Sin, Seong-Il;Im, Yong-Taek
    • Journal of Korean Society of Transportation
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    • v.25 no.6
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    • pp.161-170
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    • 2007
  • The purpose of this study is to find the solution that overcomes the existing assumption of symmetric cost functions in multi-class assignment. In the assignment problem, the assumption of a symmetric cost function means that the link cost is determined by each unique mode and is not affected by any other modes. In this study, the authors have applied a diagonalized algorithm and a heuristic model based on column generation to a multi-class assignment model and analyzed the result. Through the study, the authors found that the diagonalized algorithm produces equilibrium solutions by the initial convergence condition. In contrast to the diagonalized algorithm, the column generation algorithm has improved the solution model to overcome the problem of equilibrium solutions in the diagonalized algorithm.

Optimal Design of a Continuous Time Deadbeat Controller (연속시간 유한정정제어기의 최적설계)

  • Kim Seung Youal;Lee Keum Won
    • Journal of the Institute of Convergence Signal Processing
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    • v.1 no.2
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    • pp.169-176
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    • 2000
  • Deadbeat property is well established in digital control system design in time domain. But in continuous time system, deadbeat is impossible because of it's ripples between sampling points inspite of designs using the related digital control system design theory. But several researchers suggested delay elements. A delay element is made from the concept of finite Laplace Transform. From some specifications such as internal model stability, physical realizations as well as finite time settling, unknown coefficents and poles in error transfer functions with delay elements can be calulted so as to satisfy these specifications. For the application to the real system, robustness property can be added. In this paper, error transfer function is specified with 1 delay element and robustness condition is considered additionally. As the criterion of the robustness, a weighted sensitive function's $H_{infty}$ norm is used. For the minimum value of the criterion, error transfer function's poles are calculated optimally. In this sense, optimal design of the continuous time deadbeat controller is obtained.

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Sparse and low-rank feature selection for multi-label learning

  • Lim, Hyunki
    • Journal of the Korea Society of Computer and Information
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    • v.26 no.7
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    • pp.1-7
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    • 2021
  • In this paper, we propose a feature selection technique for multi-label classification. Many existing feature selection techniques have selected features by calculating the relation between features and labels such as a mutual information scale. However, since the mutual information measure requires a joint probability, it is difficult to calculate the joint probability from an actual premise feature set. Therefore, it has the disadvantage that only a few features can be calculated and only local optimization is possible. Away from this regional optimization problem, we propose a feature selection technique that constructs a low-rank space in the entire given feature space and selects features with sparsity. To this end, we designed a regression-based objective function using Nuclear norm, and proposed an algorithm of gradient descent method to solve the optimization problem of this objective function. Based on the results of multi-label classification experiments on four data and three multi-label classification performance, the proposed methodology showed better performance than the existing feature selection technique. In addition, it was showed by experimental results that the performance change is insensitive even to the parameter value change of the proposed objective function.

Controversies on the Usefulness of Nerve Conduction Study in the Early Diagnosis of Diabetic Polyneuropathy: Pros (당뇨병성 다발신경병증의 조기 진단에서 신경전도검사의 유용성에 관한 논란: 긍정적인 관점에서)

  • Kwon, Ohyun
    • Annals of Clinical Neurophysiology
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    • v.10 no.1
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    • pp.29-32
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    • 2008
  • Although various criteria on the diagnosis of diabetic neuropathy are applied from trial to trial, being tailored in concert with its purpose, the utmost evidences of the diagnosis are subjective symptoms and objective signs of neurologic deficit. The application and interpretation of auxiliary electrophysiological test including nerve conduction study (NCS) should be made on the context of clinical pictures. The evaluation of the functions of small, thinly myelinated or unmyelinated nerve fibers has been increasingly stressed recently with the advent of newer techniques, e.g., measurement of intraepidermal fiber density, quantitative sensory testing, and autonomic function test. And the studies with those techniques have shed light to the nature of the evolution of diabetic neuropathy. The practical application of these techniques to the diagnosis of diabetic neuropathy in the individual patients, however, should be made cautiously due to several shortcomings: limited accessibility, wide overlapping zone between norm and abnormality with resultant unsatisfactory sensitivity and specificity, difficulty in performing subsequent tests, unproven quantitative correlation with clinical deficit, and invasiveness of some technique. NCS, as an extension of clinical examination, is still the most reliable electrophysiological test in evaluating neuropathy and gives the invaluable information about the nature of neuropathy, whereas the newer techniques need more refinement of the procedure and interpretation, and the accumulation of large scaled data of application to be considered as established diagnostic tools of peripheral neuropathy.

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