• Title/Summary/Keyword: functional differential system

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Inverse problem for semilinear control systems

  • Park, Jong-Yeoul;Jeong, Jin-Mun;Kwun, Young-Chel
    • Bulletin of the Korean Mathematical Society
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    • v.33 no.4
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    • pp.603-611
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    • 1996
  • Let consider the following problem: find an element u(t) in a Banach space U from the equation $$ x'(t) = Ax(t) + f(t,x(t)) + \Phi_0 u(t), 0 \leq t \leq T $$ with initial and terminal conditions $$ x(0) = 0, x(T) = \phi $$ in a Banach space X where $\phi \in D(A)$. This problem is a kind of control engineering inverse problem and contains nonlinear term, so that it is difficult and interesting. Thee proof main result in this paper is based on the Fredholm property of [1] in section 3. Similar considerations of linear system have been dealt with in many references. Among these literatures, Suzuki[5] introduced this problem for heat equation with unknown spatially-varing conductivity. Nakagiri and Yamamoto[2] considered the identifiability problem, which A is a unknown operator to be identified, where the system is described by a linear retarded functional differential equation. We can also apply to determining the magnitude of the control set for approximate controllability if X is a reflexive space, i.e., we can consider whether a dense subset of X is covered by reachable set in section 4.

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Copolymerization of 2-Hydroxyethyl Methacrylate with Functional Silane Monomers (2-히드록시에틸 메타크릴레이트와 기능성 사이레인 단량체와의 공중합에 관한 연구)

  • Sung, Yong-Kiel;Lee, Chang-Gyu;Jung, Il-Nam
    • Journal of Biomedical Engineering Research
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    • v.8 no.1
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    • pp.29-40
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    • 1987
  • 2-Hydroxyethyl methacrylate(HEMA) was copolymerized with allyltrimethylsilane- (ATMS) and allylt.imethoxysilane(ATMOS) at 70。C in N, N'dimethylformamide- (DMV) using $\alpha$ , $\alpha$'-azobisisobutyronitrile(AIBN). The compositions of unreacted monomers were determined by gas chromatographic analysis. The monomer reactivity ratios were determined by Fireman-Ross, Helen-Tiidus and intersection methods. The average values are as follows : $$r_1(HEMA) : 6.62 $\pm$ 0.07, r_2(ATMS) : 0.07 $\pm$ 0.01 for HEMA-ATMS system.$$ $$r_l(HEMA) : 4.09 $\pm$ 0.14, r_2(ATMOS) : 0.06 $\pm$ 0.01 for HEMA-ATMOS toys tem.$$ The lower rl(HEMA) In the HEMA-ATMOS system as compared to HEMA ATMS system may be contributed to higher relative reactivity of ATMOS toward the poly(HEMA) radical. The compositions of synthesized copolymers were determined from silicon con tents estimated gravimetrically. The thermal stabilities of the copolymers were investigated by thermogravimetry(TG). The enthalpic changes associated with the endothermic transition were evaluated by differential scanning calorimetry(DSC). The swelling properties of the copolymers in water were also investigated.

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Self-pressurization analysis of the natural circulation integral nuclear reactor using a new dynamic model

  • Pilehvar, Ali Farsoon;Esteki, Mohammad Hossein;Hedayat, Afshin;Ansarifar, Gholam Reza
    • Nuclear Engineering and Technology
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    • v.50 no.5
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    • pp.654-664
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    • 2018
  • Self-pressurization analysis of the natural circulation integral nuclear reactor through a new dynamic model is studied. Unlike conventional pressurized water reactors, this reactor type controls the system pressure using saturated coolant water in the steam dome at the top of the pressure vessel. Self-pressurization model is developed based on conservation of mass, volume, and energy by predicting the condensation that occurs in the steam dome and the flashing inside the chimney using the partial differential equation. A simple but functional model is adopted for the steam generator. The obtained results indicate that the variable measurement is consistent with design data and that this new model is able to predict the dynamics of the reactor in different situations. It is revealed that flashing and condensation power are in direct relation with the stability of the system pressure, without which pressure convergence cannot be established.

Method for Detection and Identification of Satellite Anomaly Based on Pseudorange (의사거리 기반 위성 이상 검출 및 식별 기법)

  • Seo, Ki-Yeol;Park, Sang-Hyun;Jang, Won-Seok;Kim, Young-Ki
    • Journal of the Korean Institute of Intelligent Systems
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    • v.22 no.3
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    • pp.328-333
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    • 2012
  • Current differential GPS (DGPS) system consists of reference station (RS), integrity monitor (IM), and control station (CS). The RS computes the pseudorange corrections (PRC) and generates the RTCM messages for broadcasting. The IM receives the corrections from the RS broadcasting and verifies that the information is within tolerance. The CS performs realtime system status monitoring and control of the functional and performance parameters. The primary function of a DGPS integrity monitor is to verify the correction information and transmit feedback messages to the reference station. However, the current algorithms for integrity monitoring have the limitations of integrity monitor functions for satellite outage or anomalies. Therefore, this paper focuses on the detection and identification methods of satellite anomalies for maritime DGPS RSIM. Based on the function analysis of current DGPS RSIM, it first addresses the limitation of integrity monitoring functions for DGPS RSIM, and then proposes the detection and identification method of satellite anomalies. In addition, it simulates an actual GPS clock anomaly case using a GPS simulator to analyze the limitations of the integrity monitoring function. It presents the brief test results using the proposed methods for detection and identification of satellite anomalies.

Effects of Medication and Deep Brain Stimulation on the Finger-tapping Speed and Amplitude of Parkinsonian Bradykinesia (파킨슨성 완서증의 손가락 마주치기 속도와 크기에 대한 약물과 뇌심부자극의 효과)

  • Kim, Ji-Won;Kwon, Yu-Ri;Park, Sang-Hoon;Eom, Gwang-Moon;Koh, Seong-Beom;Jang, Ji-Wan;Lee, Hye-Mi
    • Journal of Biomedical Engineering Research
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    • v.33 no.1
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    • pp.47-52
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    • 2012
  • The purpose of this study is to investigate whether medication and deep brain stimulation (DBS) have differential effects on the speed and amplitude of bradykinesia in patients with Parkinson's disease (PD). Five PD patients with implanted DBS electrodes (age: $60.6{\pm}7.4yrs$, H&Y stage: $3.1{\pm}0.2$) participated in this study. FT (finger tapping) movement was measured using a gyrosensor system in four treatment conditions: Med (Medication)-off/DBS-off, Med-off/DBS-on, Med-on/DBS-off and Med-on/DBS-on. Quantitative measures representing average speed and amplitude of FT movement included root-mean-squared (RMS) angular velocity and RMS angle. One-way repeated measures ANOVA showed that RMS angular velocity of Med-on/DBS-on was significantly greater than those of Med-off/DBS-off and Med-off/DBS-on (p < 0.01) whereas RMS angle was not different among conditions (p = 0.06). Two way repeated measures ANOVA showed that only medication improved RMS angular velocity (p < 0.01), whereas both medication and DBS had no significant effect on RMS angle (p > 0.02). Effect size of RMS angular velocity was greater than that of RMS angle in both medication and DBS. This suggests that medication and DBS have differential effects on FT bradykinesia and velocity and amplitude impairments may be associated with different functional aspects in PD.

Plasma-Surface-Treatment of Nylon 6 Fiber for the Improvement of Water-Repellency by Low Pressure RF Plasma Discharge Processing (나일론 6 섬유의 발수성 향상을 위한 RF 플라스마 표면처리)

  • Ji, Young-Yeon;Jeong, Tak;Kim, Sang-Sik
    • Polymer(Korea)
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    • v.31 no.1
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    • pp.31-36
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    • 2007
  • It has been reported that the surface properties of the plasma treated material were changed while maintaining its bulk properties. In this study, surface modification of nylon fiber by plasma treatment was tried to attain high water-repellency Nylon fiber was treated with RF plasma under a vacuum system using various parameters such as gas specious, processing time and processing power. Morphological changes by low pressure plasma treatment were observed using scanning electron microscopy (SEM) and atomic force microscopy (AFM). Moreover, the mechanical and inherent properties were analyzed by tensile strength, differential scanning calorimetry (DSC) and thermogravimetric analysis (TGA). The high water-repellency property of nylon fiber was evaluated by a water-drop standard test under various conditions in terms of aging effect. The results showed that the water-repellency of plasma-surface-treated nylon fiber was greatly improved compared to untreated nylon fiber.

Parametric Studies of Flexural Free Vibrations of Circular Strip Foundations with Various End Constraints Resting on Pasternak Soil (경계조건 변화에 따른 Pasternak 지반으로 지지된 원호형 띠기초의 휨 자유진동에 관한 변수연구)

  • Lee, Byoung-Koo;Li, Guang-Fan;Kang, Hee-Jong;Yoon, Hee-Min
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.17 no.9
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    • pp.835-846
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    • 2007
  • This paper deals with the flexural free vibrations of circular strip foundation with the variable breadth on Pasternak soil. The breadth of strip varies with the linear functional fashion, which is symmetric about the mid-arc. Differential equations governing flexural free vibrations of such strip foundation are derived, in which the elastic soil with the shear layer, i.e. Pasternak soil, is considered. Effects of the rotatory and shear deformation are included in the governing equations. Differential equations are numerically solved to calculate the natural frequencies and mode shapes. In the numerical examples, the hinged-hinged, hinged-clamped and clamped-clamped end constraints are considered. Four lowest frequency parameters accompanied with their corresponding mode shapes are reported and parametric studies between frequency parameters and various system parameters are investigated.

Design of Face Recognition algorithm Using PCA&LDA combined for Data Pre-Processing and Polynomial-based RBF Neural Networks (PCA와 LDA를 결합한 데이터 전 처리와 다항식 기반 RBFNNs을 이용한 얼굴 인식 알고리즘 설계)

  • Oh, Sung-Kwun;Yoo, Sung-Hoon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.61 no.5
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    • pp.744-752
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    • 2012
  • In this study, the Polynomial-based Radial Basis Function Neural Networks is proposed as an one of the recognition part of overall face recognition system that consists of two parts such as the preprocessing part and recognition part. The design methodology and procedure of the proposed pRBFNNs are presented to obtain the solution to high-dimensional pattern recognition problems. In data preprocessing part, Principal Component Analysis(PCA) which is generally used in face recognition, which is useful to express some classes using reduction, since it is effective to maintain the rate of recognition and to reduce the amount of data at the same time. However, because of there of the whole face image, it can not guarantee the detection rate about the change of viewpoint and whole image. Thus, to compensate for the defects, Linear Discriminant Analysis(LDA) is used to enhance the separation of different classes. In this paper, we combine the PCA&LDA algorithm and design the optimized pRBFNNs for recognition module. The proposed pRBFNNs architecture consists of three functional modules such as the condition part, the conclusion part, and the inference part as fuzzy rules formed in 'If-then' format. In the condition part of fuzzy rules, input space is partitioned with Fuzzy C-Means clustering. In the conclusion part of rules, the connection weight of pRBFNNs is represented as two kinds of polynomials such as constant, and linear. The coefficients of connection weight identified with back-propagation using gradient descent method. The output of the pRBFNNs model is obtained by fuzzy inference method in the inference part of fuzzy rules. The essential design parameters (including learning rate, momentum coefficient and fuzzification coefficient) of the networks are optimized by means of Differential Evolution. The proposed pRBFNNs are applied to face image(ex Yale, AT&T) datasets and then demonstrated from the viewpoint of the output performance and recognition rate.

Familial Gastric Dysmotility in Monozygotic Twins with Functional Dyspepsia and Their Mothers and the Effect of Korean Traditional Medicine on Symptoms and Gastric Dysmotility in Twins (기능성 소화불량증의 일란성 쌍생아와 이들 모친의 가족적 위 운동성 장애와 한방치료가 쌍둥이의 임상증상과 위 운동성에 미친 영향)

  • Yoon, Sang-hyub
    • The Journal of Internal Korean Medicine
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    • v.39 no.4
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    • pp.772-783
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    • 2018
  • The aims of this study were to use the Rydoraku test, electrogastrography, and enterotachography to examine the presence of familial gastric dysmotility among monozygotic twins and their mothers; to determine the relationship between the symptoms and the indexes of the Rydoraku test, electrogastrography, and enterotachography; and to observe the therapeutic reaction for each differential treatment between twins with familial gastric dysmotility. The same herbal medication (Banhasasim-tang extract three times/day and Sojuckkunbi-tang extract three times/day) was given to each twin, but the younger twin also underwent manual acupuncture on the CV 10, 12, and 13 points of the abdominal wall and electrical stimulation of both ST 36 points of the lower leg 2-3 times per week. Evaluation of the therapeutic effect was followed after six weeks. The presence of familial gastric dysmotility was shown in the autonomic nerve system and gastric muscle and was thought to be a common pathophysiology induced by genetic co-ownership. Only the younger twin showed any marked relief of the dyspeptic symptoms associated with improvement of pyloric sphincter function, which was induced by acupuncture treatment. The Rydoraku test, electrogastrography, and enterotachography results showed the presence of familial gastric dysmotility. Although Korean traditional medicine had no effect on the familiar gastric dysmotility associated with genetic influences, the acupuncture treatment had a beneficial effect on the secondary disorder of pyloric sphincter function, which is associated with the relief of dyspeptic symptoms.

Functional Underwear Development for Elderly Woman from 3D Body Model applying PCM treatment (PCM 가공과 3차원 인체 모델링 기술을 적용한 노년 여성용 기능성 언더웨어 설계)

  • Choi, Sin-Ae;Kim, Tae-gyou;Park, Youong-Min;Shin, Ji-Young;Park, Soonjee
    • Fashion & Textile Research Journal
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    • v.18 no.4
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    • pp.457-467
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    • 2016
  • This study aimed to develop functional underwear for elderly women in their sixties in terms of good fit, wear comfort and body temperature regulation. To satisfy elderly women's physical and metabolical needs, an automatic temperature control system via PCM treatment was applied. Underwear pattern was produced by producing body surface replica, which was derived from 3D body parametric model. Differential ratios of outline length and area between 3D surface and 2D plane were 1.4% and 0.5%, respectively. The reduction rate was determined as 10% through the expert's evaluation. PCM treated fabric showed higher Q-max, meaning that it can facilitate the thermal transition in hot situation. Moreover, it also showed higher insulation to preserve heat and keep warm microclimate in a cold weather. Heat distribution measurements on various body parts revealed that the temperature after PCM treatment was significantly higher. The clothing pressure after 10% pattern reduction showed higher before reduction, at the same time, even lower than the comfort clothing pressure range of $5{\sim}10gf/cm^2$, implying that experimental garment of this research is acceptable in terms of clothing pressure. Evaluation results on the comfort to move in various motions proved that adequate clothing pressure improved the wear comfort in various motions.