• 제목/요약/키워드: Optimal Conditions

검색결과 6,837건 처리시간 0.038초

NECESSARY CONDITIONS FOR OPTIMAL BOUNDARY CONTROL PROBLEM GOVERNED BY SOME CHEMOTAXIS EQUATIONS

  • Ryu, Sang-Uk
    • East Asian mathematical journal
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    • 제29권5호
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    • pp.491-501
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    • 2013
  • This paper is concerned with the necessary conditions of the optimal boundary control for some chemotaxis equations. We obtain the existence and the necessary conditions of the optimal boundary control in the space $(H^1(0,T))^2$. Moreover, under some assumptions, we show the uniqueness of the optimal control.

VALUE FUNCTION AND OPTIMALITY CONDITIONS

  • KIM, KYUNG EUNG
    • Korean Journal of Mathematics
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    • 제23권2호
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    • pp.283-291
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    • 2015
  • In the optimal control problem, at first we search the expected optimal solution by using Pontryagin type's necessary conditions called the maximum principle. Next we use the sufficient conditions to conclude that the searched solution is optimal. In this article the sufficient conditions are studied. The value function is used for sufficient conditions.

오존수 살수(撒水)에 의한 콩나물의 성장조건 최적화 (Optimal Conditions for the Growth of Soybean Sprouts by Ozone Water Watering)

  • 김일두;김순동
    • 동아시아식생활학회지
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    • 제11권3호
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    • pp.219-224
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    • 2001
  • This study was conducted to investigate the optimal conditions for the growth of soybean sprouts by ozone water watering. Optimal conditions for ozone water watering of soybean sprouts during cultivation at 2$0^{\circ}C$ were evaluated with ozone concentration(0.1~O.5 ppm) and watering frequency(1~9 times) by response surface methodology. The optimal conditions for growth of soybean sprouts were ozone concentrations of 0.20~0.32 ppm, ozone treatment frequency of 3.0~4.4 times. Germination rates, hypocotyl weights and hypocotyl lengths in the soybean sprouts cultivated under the optimal conditions increased by 13.3, 10.1 and 11.9%, respectively, whereas root weights decreased by 89.0%.

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흡기가열을 이용한 가솔린압축착화 엔진의 최적구동조건에 관한 수치적 연구 (Numerical Analysis about Optimal Conditions of GDICI Engine Operation using Intake Preheating)

  • 최민기;차준표;권석주;박성욱
    • 한국연소학회:학술대회논문집
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    • 한국연소학회 2012년도 제44회 KOSCO SYMPOSIUM 초록집
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    • pp.105-106
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    • 2012
  • This study is numerical analysis about optimal conditions of GDICI (gasoline direct injection compression ignition) engine operation using intake preheating. Numerical modeling was performed by using the KIVA-3V Release2 code integrated Chemkin chemistry solver II. For validation of numerical model, experiments were performed on a single-cylinder engine. Throughout the numerical simulations under variable conditions, the ranges of optimal conditions were found.

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OPTIMALITY CONDITIONS FOR OPTIMAL CONTROL GOVERNED BY BELOUSOV-ZHABOTINSKII REACTION MODEL

  • RYU, SANG-UK
    • 대한수학회논문집
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    • 제30권3호
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    • pp.327-337
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    • 2015
  • This paper is concerned with the optimality conditions for optimal control problem of Belousov-Zhabotinskii reaction model. That is, we obtain the optimality conditions by showing the differentiability of the solution with respect to the control. We also show the uniqueness of the optimal control.

OPTIMAL CONDITIONS FOR ENDPOINT CONSTRAINED OPTIMAL CONTROL

  • Kim, Kyung-Eung
    • 대한수학회보
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    • 제45권3호
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    • pp.563-571
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    • 2008
  • We deduce the necessary conditions for the optimality of endpoint constrained optimal control problem. These conditions comprise the adjoint equation, the maximum principle and the transversality condition. We assume that the cost function is merely differentiable. Therefore the technique under Lipschitz continuity hypothesis is not directly applicable. We introduce Fermat's rule and value function technique to obtain the results.

OPTIMAL CONTROL OF GLOBAL PRESS FOR AN ADSORBATE-INDUCED PHASE TRANSITION MODEL

  • Ryu, Sang-Uk
    • 충청수학회지
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    • 제21권4호
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    • pp.543-553
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    • 2008
  • This paper is concerned with the optimal control problem of global press for an adsorbate-induced phase transition model. That is, we show the existence of the optimal control and derive the optimality conditions. Moreover, we obtain the uniqueness of the optimal control.

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정수슬러지로부터 중금속 용출 억제를 위한 최적 고화조건 (Optimal Solidification Conditions for Suppression of Heavy Metal Elution from Water Treatment Sludge)

  • 이병대;김영찬;이진식
    • 한국응용과학기술학회지
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    • 제22권4호
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    • pp.379-384
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    • 2005
  • In general, water treatment sludge (WTS) had high concentration of heavy metal, thus it made the reuse or recycling of WTS difficult. The optimal solidification conditions for maximum suppression of heavy metal elution from WTS were decided in this study. Under the optimal solidification conditions (i.e., temperature, $320^{\circ}C;$ ratio of WTS and MgO, 9:1; solidification time, 1hr), all of heavy metal including aluminum were not detected. Therefore there are no problems for reuse or recycling of WTS which was solidified under the optimal solidification conditions found in the study.

반응표면법을 이용한 MLCC 자동 정렬 시스템의 운영조건 최적화 (Application of Response Surface Method for Optimal Transfer Conditions of MLCC Alignment System)

  • 김재민;정원지;신오철
    • 한국생산제조학회지
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    • 제19권4호
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    • pp.582-588
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    • 2010
  • This paper presents the Application of Response Surface Method for Optimal Transfer Conditions of MLCC Alignment System. his paper is composed of two parts: (1) Testing performance verification of MLCC alignment system, compared with manual operation; (2) Applying response surface method to figuring out the optimal transfer conditions of MLCC transfer system. Based on the successfully developed MLCC alignment system, the optimal transfer conditions have been explored by using RSM. The simulations using $ADAMS^{(R)}$ has been performed according to the cube model of CCD. By using $MiniTAB^{(R)}$, we have established the model of response surface based on the simulation results. The optimal conditions resulted from the response optimization tool of $MiniTAB^{(R)}$ has been verified by being assigned to the prototype of MLCC alignment system.