• 제목/요약/키워드: Time-dependent

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시변 지연이 존재하는 불확실 스토캐스틱 시스템의 지연의존 안정성 (New Delay-dependent Stability Criteria for Uncertain Stochastic Systems with Time-varying Delays)

  • 권오민;박주현;이상문
    • 전기학회논문지
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    • 제58권11호
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    • pp.2261-2265
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    • 2009
  • In this paper, the problem of delay-dependent stability of uncertain stochastic systems with time-varying delay is considered. The uncertainties are assumed to be norm-bounded. Based on the Lyapunov stability theory, new delay-dependent stability criteria for the system are derived in terms of LMI(linear matrix inequality). Two numerical examples are given to show the effectiveness of proposed method.

Time-dependent Double Obstacle Problem Arising from European Option Pricing with Transaction Costs

  • Jehan, Oh;Namgwang, Woo
    • Kyungpook Mathematical Journal
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    • 제62권4호
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    • pp.615-640
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    • 2022
  • In this paper, we investigate a time-dependent double obstacle problem associated with the model of European call option pricing with transaction costs. We prove the existence and uniqueness of a W2,1p,loc solution to the problem. We then characterize the behavior of the free boundaries in terms of continuity and values of limit points.

A Delay-Dependent Approach to Robust Filtering for LPV Systems with Discrete and Distributed Delays using PPDQ Functions

  • Karimi Hamid Reza;Lohmann Boris;Buskens Christof
    • International Journal of Control, Automation, and Systems
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    • 제5권2호
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    • pp.170-183
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    • 2007
  • This paper presents a delay-dependent approach to robust filtering for linear parameter-varying (LPV) systems with discrete and distributed time-invariant delays in the states and outputs. It is assumed that the state-space matrices affinely depend on parameters that are measurable in real-time. Some new parameter-dependent delay-dependent stability conditions are established in terms of linear matrix inequalities (LMIs) such that the filtering process remains asymptotically stable and satisfies a prescribed $H_{\infty}$ performance level. Using polynomially parameter-dependent quadratic (PPDQ) functions and some Lagrange multiplier matrices, we establish the parameter-independent delay-dependent conditions with high precision under which the desired robust $H_{\infty}$ filters exist and derive the explicit expression of these filters. A numerical example is provided to demonstrate the validity of the proposed design approach.

Time-dependent stresses and curvatures in cracked R.C. sections under working loads

  • Al-Zaid, Rajeh Z.
    • Structural Engineering and Mechanics
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    • 제18권3호
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    • pp.363-376
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    • 2004
  • The present study provides a relatively simple and accurate analytical model for the prediction of time-dependent stresses and curvatures of cracked R.C. sections under working loads. A more simplified solution is also provided. The proposed models are demonstrated by considering a numerical example and conducting a parametric study on the effects of relevant R.C. design parameters. In contrary to tension reinforcement, the compression reinforcement is found to contribute significantly in reducing tensile stresses in tension steel and in reducing the total section curvatures. The good accuracy of the proposed approximate solution opens a new vision towards a simple yet accurate model for the prediction of time-dependent effects in R.C. structures.

혜성에서 방출되는 CH 분자의 A-X와 B-X band 스펙트럼에 대한 Time-dependent Calculation 연구

  • 손미림;김상준;심채경;이충욱;이동주
    • 천문학회보
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    • 제37권1호
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    • pp.99.2-99.2
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    • 2012
  • 혜성에서 방출되는 CH 분자는 핵에서 방출되어 태양 빛에 의해 분해되는 시간인 lifetime이 짧다. Lifetime이 짧은 분자는 모든 energy state로의 천이가 충분히 일어나 안정된 상태인 fluorescent equilibrium상태에 도달하기 전에 분해되어 버리기 때문에 혜성 속의CH의 특성을 파악하기 위해서는 Time-dependent calculation이 꼭 필요하다. Time-dependent calculation 은 CH 분자가 핵에서 방출된 후 시간에 따라 변하는population을 계산함으로써 각 혜성의 조건에 알맞은 CH model을 얻을 수 있어 혜성에서 방출되는 분자들을 연구하기에 적합한 방법이다. 우리는 BOES로 관측한 Machholz(C/2004 Q2), 103P/Hartley혜성을 포함한 Hyakutake (C/1996 B2)혜성과 Austin (1990V)혜성의 고분산 분광자료를 이용하여 Time-dependent calculation 을 실시하였고, 그 결과를 소개하고자 한다.

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토피가 큰 콘크리트 지하구조물의 기둥에 대한 시간의존적 해석 (Time dependent Analysis of RC Column in Subway Structure having high Filled Soil Layer)

  • 정제평;이상희;김생빈;김우
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 1998년도 가을 학술발표대회 논문집(III)
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    • pp.603-608
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    • 1998
  • This study was performed to examine the effect of time dependent properties on RC columns in subway structures subjected to high filled soil layer. By using Program TCC which is a modified version of CPF for the present purpose, a typical column in subway structure was analyzed. Four different model equations for predicted time dependent concrete properties(ACI, CEB-FIP, Bazant & Panula and Korea Bridge Specification) was employed, and the results were compared. It was found that a relevant creep coefficient is recommended to be 1.0 for designing columns in subway structure, and the sol filling work would be performed at least 3 months later after the concrete casting in order to ensure durability by reducing the negative effect of concrete time dependent properties.

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시공단계의 영향을 고려한 프리스트레스 콘크리트 다층 구조물의 해석 (Analysis of Multi-Story Prestressed Concrete Structure Considering the Effect of Construction Stage)

  • 전찬기
    • 한국구조물진단유지관리공학회 논문집
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    • 제5권3호
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    • pp.213-223
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    • 2001
  • This paper presents an analytical procedure for the time-dependent analysis of the multi-story prestressed concrete structure under the construction stage. To account for the actual structural behavior, the procedure considers the effects due to the construction interval and the time-dependent losses of prestress at every construction step on the entire structural response. A numerical study is performed to demonstrate the general validity of the approach and to quantitatively evaluate the effects resulted from the time-dependent behaviors during construction. Recommendations and conclusions are developed by comparisons with structural responses using the present and conventional methods of analysis. The comparative results show that both effects of sequential construction and time-dependent prestress losses should be considered for the construction stage analysis.

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Impacts of temporal dependent errors in radar rainfall estimate for rainfall-runoff simulation

  • Ko, Dasang;Park, Taewoong;Lee, Taesam
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2015년도 학술발표회
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    • pp.180-180
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    • 2015
  • Weather radar has been widely used in measuring precipitation and discharge and predicting flood risks. The radar rainfall estimate has one of the essential problems in terms of uncertainty and accuracy. Previous study analyzed radar errors to reduce its uncertainty or to improve its accuracy. Furthermore, a recent analyzed the effect of radar error on rainfall-runoff using spatial error model (SEM). SEM appropriately reproduced radar error including spatial correlation. Since the SEM does not take the time dependence into account, its time variability was not properly investigated. Therefore, in the current study, we extend the SEM including time dependence as well as spatial dependence, named after Spatial-Temporal Error Model (STEM). Radar rainfall events generated with STEM were tested so that the peak runoff from the response of a basin could be investigated according to dependent error. The Nam River basin, South Korea, was employed to illustrate the effects of STEM on runoff peak flow.

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상태와 입력에 시변 시간지연을 가지는 불확실 이산시간 특이시스템의 지연종속 강인 안정화 및 비약성 제어 (Delay-Dependent Robust Stabilization and Non-Fragile Control of Uncertain Discrete-Time Singular Systems with State and Input Time-Varying Delays)

  • 김종해
    • 제어로봇시스템학회논문지
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    • 제15권2호
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    • pp.121-127
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    • 2009
  • This paper deals with the design problem of robust stabilization and non-fragile controller for discrete-time singular systems with parameter uncertainties and time-varying delays in state and input by delay-dependent Linear Matrix Inequality (LMI) approach. A new delay-dependent bounded real lemma for singular systems with time-varying delays is derived. Robust stabilization and robust non-fragile state feedback control laws are proposed, which guarantees that the resultant closed-loop system is regular, causal and stable in spite of time-varying delays, parameter uncertainties, and controller gain variations. A numerical example is given to show the validity of the design method.

An advanced technique to predict time-dependent corrosion damage of onshore, offshore, nearshore and ship structures: Part I = generalisation

  • Kim, Do Kyun;Wong, Eileen Wee Chin;Cho, Nak-Kyun
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제12권1호
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    • pp.657-666
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    • 2020
  • A reliable and cost-effective technique for the development of corrosion damage model is introduced to predict nonlinear time-dependent corrosion wastage of steel structures. A detailed explanation on how to propose a generalised mathematical formulation of the corrosion model is investigated in this paper (Part I), and verification and application of the developed method are covered in the following paper (Part II) by adopting corrosion data of a ship's ballast tank structure. In this study, probabilistic approaches including statistical analysis were applied to select the best fit probability density function (PDF) for the measured corrosion data. The sub-parameters of selected PDF, e.g., the largest extreme value distribution consisting of scale, and shape parameters, can be formulated as a function of time using curve fitting method. The proposed technique to formulate the refined time-dependent corrosion wastage model (TDCWM) will be useful for engineers as it provides an easy and accurate prediction of the 1) starting time of corrosion, 2) remaining life of the structure, and 3) nonlinear corrosion damage amount over time. In addition, the obtained outcome can be utilised for the development of simplified engineering software shown in Appendix B.