• 제목/요약/키워드: maximum principle

검색결과 471건 처리시간 0.033초

ASYMPTOTIC BEHAVIOR OF A-HARMONIC FUNCTIONS AND p-EXTREMAL LENGTH

  • Kim, Seok-Woo;Lee, Sang-Moon;Lee, Yong-Hah
    • 대한수학회보
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    • 제47권2호
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    • pp.423-432
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    • 2010
  • We describe the asymptotic behavior of functions of the Royden p-algebra in terms of p-extremal length. We also prove that each bounded $\cal{A}$-harmonic function with finite energy on a complete Riemannian manifold is uniquely determined by the behavior of the function along p-almost every curve.

인간-기계시스템의 최적관리를 위한 정보이론적 접근 (Informative Approach for Optimal Control Policy of Man-Machine System)

  • 이태희
    • 산업경영시스템학회지
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    • 제19권37호
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    • pp.63-70
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    • 1996
  • This paper presents a model which may be used in optimal control of the Man-Machine systems in the aspect of information transmission. For this, we divided information into human parts and machine parts, and consider minimum error principle as a machine operating logic. Furthermore, we take the maximum information principle as a human information operating logic. This can be done in considering the Fisher Information and its transformed type, information inequality.

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2-유로 카트리지 밸브를 이용한 유압용 유량 센서의 개발 (Development of a Flow Rate Sensor Using 2-way Cartridge Valve)

  • 홍예선;이정오
    • 대한기계학회논문집
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    • 제17권9호
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    • pp.2381-2389
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    • 1993
  • In this paper the design and test results of a dynamic flow rate sensor was reported. This sensor comprises an 2-way cartridge valve as standard hydraulic component and a displacement sensor. Its working principle bases on the linear relationship between the flow rate and the piston displacement of 2-way cartridge valves under constant pressure drop. This principle is well known, however it is not easy to develop a flow rate sensor with the measurement range of 300 1/min, pressure loss of less than 8 bar at 300 1/min, maximum linearity error of less than $\pm$1% and the maximum rising time of 10 ms. This paper describes the design procedure of the flow rate sensor, the improvement procedure of static performance and test method and results of dynamic performance.

작물생장모델을 이용한 상추의 온실 최적설정온도 탐색 알고리즘의 개발 (Development of an Algorithm for Searching Optimal Temperature Setpoint for Lettuce in Greenhouse Using Crop Growth Model)

  • 류관희;김기영;김희구;채희연
    • Journal of Biosystems Engineering
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    • 제24권5호
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    • pp.445-452
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    • 1999
  • This study was conducted to develop a searching algorithm for optimal daily temperature setpoint greenhouse. An algorithm using crop growth and energy models was developed to determine optimum crop growth environment. The results of this study were as follows: 1. Mathematical models for crop growth and energy consumption were derived to define optimal daily temperature setpoint. 2. Optimum temperature setpoint, which could maximize performance criterion, was determined by using Pontryagin maximum principle. 3. Dynamic control of daily temperature using the developed algorithm showed higher performance criterion than static control with fixed temperature setpoint. Performance criteria for dynamic control models were with simulated periodic weather data and with real weather data, increased by 48% and 60%, respectively.

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최대원리에 의한 화력-양수발전시스템의 확률적 운전시뮬레이션 모델 (Probabilistic Optimal Weekly Coordination of Thermal-Pumped Storage Power System based on the Maximum Principle)

  • 이봉용;심건보
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1991년도 하계학술대회 논문집
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    • pp.411-416
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    • 1991
  • Operation simulation is a key factor to evaluate investment and operation in a power utility. Probabilistic production simulation is of major concern. With pumped-storage plant, production simulation is not an easy task, because its economy should fully be exploited. In addition, usual operation interval is a week rather than a day. Most existing models are based on approximate production simulation such as adopting simple priority orders of generations. This study is based on the more elaborate model developed by authors. Further, a policy of weekly coordination is established based on the Maximum Principle. Chronological load curve instead of usual load duration curve is used and the accuracy in simulation is enhahced. Resulting economics are compared. Deviation between these two toad curve is shown.

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THE EXPONENTIAL GROWTH AND DECAY PROPERTIES FOR SOLUTIONS TO ELLIPTIC EQUATIONS IN UNBOUNDED CYLINDERS

  • Wang, Lidan;Wang, Lihe;Zhou, Chunqin
    • 대한수학회지
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    • 제57권6호
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    • pp.1573-1590
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    • 2020
  • In this paper, we classify all solutions bounded from below to uniformly elliptic equations of second order in the form of Lu(x) = aij(x)Diju(x) + bi(x)Diu(x) + c(x)u(x) = f(x) or Lu(x) = Di(aij(x)Dju(x)) + bi(x)Diu(x) + c(x)u(x) = f(x) in unbounded cylinders. After establishing that the Aleksandrov maximum principle and boundary Harnack inequality hold for bounded solutions, we show that all solutions bounded from below are linear combinations of solutions, which are sums of two special solutions that exponential growth at one end and exponential decay at the another end, and a bounded solution that corresponds to the inhomogeneous term f of the equation.

OPTIMAL CONTROL ON SEMILINEAR RETARDED STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS DRIVEN BY POISSON JUMPS IN HILBERT SPACE

  • Nagarajan, Durga;Palanisamy, Muthukumar
    • 대한수학회보
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    • 제55권2호
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    • pp.479-497
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    • 2018
  • This paper deals with an optimal control on semilinear stochastic functional differential equations with Poisson jumps in a Hilbert space. The existence of an optimal control is derived by the solution of proposed system which satisfies weakly sequentially compactness. Also the stochastic maximum principle for the optimal control is established by using spike variation technique of optimal control with a convex control domain in Hilbert space. Finally, an application of retarded type stochastic Burgers equation is given to illustrate the theory.

Revision on the Frequency Domain Conditions for Strict Positive Realness

  • Moghaddam Mojtaba Hakimi;Khaloozadeh Hamid
    • International Journal of Control, Automation, and Systems
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    • 제5권1호
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    • pp.1-7
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    • 2007
  • In this paper, the necessary and sufficient conditions for strict positive realness of the rational transfer functions directly from basic definitions in the frequency domain are studied. A new frequency domain approach is used to check if a rational transfer function is a strictly positive real or not. This approach is based on the Taylor expansion and the Maximum Modulus Principle which are the fundamental tools in the complex functions analysis. Four related common statements in the strict positive realness literature which is appeared in the control theory are discussed. The drawback of these common statements is analyzed through some counter examples. Moreover a new necessary condition for strict positive realness is obtained from high frequency behavior of the Nyquist diagram of the transfer function. Finally a more simplified and completed conditions for strict positive realness of single-input single-output linear time-invariant systems are presented based on the complex functions analysis approach.

최대 엔트로피 분포를 이용한 퍼지 관측데이터의 분석법에 관한 연구 (An Analysis of Fuzzy Survey Data Based on the Maximum Entropy Principle)

  • 유재휘;유동일
    • 한국컴퓨터정보학회논문지
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    • 제3권2호
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    • pp.131-138
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    • 1998
  • 통상 통계적인 데이터 해석에서 취급되는 데이터는 확정된 값으로서 통계 처리를실시한다. 그러나 복잡˙대규모화하는 현대의 시스템에 있어서는 정확하게 측정된 데이터만을 취급하는 것은 곤란하며 인간의 주관적인 판단에 따른 데이터를 수집하는 경우가 발생하게 된다. 본 연구에서는 이러한 인간의 주관적인 판단에 따른 데이터를 퍼지 관측 데이터로하여(언어 변수에 의해 Membership 함수를 정의한다.) 최대 엔트로피 원리를 이용한 새로운 분석 방법을 제안한다. 또한 보다 현실적인 상황 아래 시뮬레이션을 실시함으로서 제안모델의 유효성을 검증한다.

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리브 구조에 따른 머시닝센터 베드의 열적 특성 평가 (Thermal Characteristic Estimation of NC Machining Center Bed following Rib Structure)

  • 김양진
    • 한국생산제조학회지
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    • 제19권6호
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    • pp.746-752
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    • 2010
  • Rib structure has been used to bed and column of machine tool to heighten weight stiffness ratio, cost performance and weight saving. In this paper the bed rib structure was estimated with thermal characteristics. Using superposition principle, machine tool designer can describe every complicated heat generation in the machine tool thermal source. As thermal characteristics, thermal deformation of guide rail and column and Maximum-minimum temperature variation were selected. The size, configuration and direction against the thermal loading surface operated to the thermal characteristics. The DB chart was made following rib structure estimating thermal characteristics. With superposition principle and DB chart, machine tool designer can prognosticate the thermal characteristics without FEM analysis to every bed rib structure.