• 제목/요약/키워드: Finite delay

검색결과 231건 처리시간 0.024초

장공발파 시 천공간격과 기폭시차에 따른 최대주변형률 비교 연구 (Comparative Study on the Maximum Principal Strain due to the Hole Spacing and the Detonation Delay Time in the Long-Hole Blasting)

  • 송정언;박훈;김승곤
    • 화약ㆍ발파
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    • 제32권3호
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    • pp.10-17
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    • 2014
  • 본 연구에서는 2자유면을 가진 암반의 장공발파 시 천공간격과 뇌관의 기폭시차에 따라 발생되는 내부주변형률의 변화를 확인하기 위하여 Visual FEA 유한요소 프로그램으로 해석 암반의 단면을 모델링하여 인접공균열권 내의 주요 절점에서 최대주변형률을 분석하였다. 결과적으로, 장공발파 시 천공간격이 좁고 기폭시차가 길수록 인접공 균열권 내에 미치는 최대주변형률 값이 크게 나타났고, 장약장 내 폭약의 기폭 위치에 따라 최대 주변형률의 차이를 보였다.

Efficient Serial Gaussian Normal Basis Multipliers over Binary Extension Fields

  • 김용태
    • 한국전자통신학회논문지
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    • 제4권3호
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    • pp.197-203
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    • 2009
  • 부호이론이나 암호학의 응용분야에 유한체는 매우 중요한 내용이고, 컴퓨터에서의 구현시에는 종규기저를 사용하는 것이 효과적이다. 본 논문에서는 유한체 타입 I 최적정규기저를 가지는 $GF(2^{mk})$$GF(2^m)$의 확대체가 된다는 사실을 이용하여 지금까지 알려진 가장 효율적인 Reyhani-Masoleh and Hasan의 곱셈기보다 25%정도 빠른 곱셈기를 소개하려고 한다.

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Receding Horizon $H_{\infty}$ Predictive Control for Linear State-delay Systems

  • Lee, Young-Sam
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2005년도 ICCAS
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    • pp.2081-2086
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    • 2005
  • This paper proposes the receding horizon $H_{\infty}$ predictive control (RHHPC) for systems with a state-delay. We first proposes a new cost function for a finite horizon dynamic game problem. The proposed cost function includes two terminal weighting terns, each of which is parameterized by a positive definite matrix, called a terminal weighting matrix. Secondly, we derive the RHHPC from the solution to the finite dynamic game problem. Thirdly, we propose an LMI condition under which the saddle point value satisfies the well-known nonincreasing monotonicity. Finally, we shows the asymptotic stability and $H_{\infty}$-norm boundedness of the closed-loop system controlled by the proposed RHHPC. Through a numerical example, we show that the proposed RHHC is stabilizing and satisfies the infinite horizon $H_{\infty}$-norm bound.

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표면 탄성파를 이용한 온도센서의 제작 및 특성에 대한 연구 (A study on the Fabrication and characterization of temperature Sensor using surface acoustic wave)

  • 박재홍;김재환
    • 한국정밀공학회지
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    • 제23권4호
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    • pp.139-145
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    • 2006
  • This paper presents the design and manufacturing of a sensor using SAW and delay line in order to measure temperature. SAW sensors having single and double electrodes are manufactured on the $128^{\circ}YX-LiNbO_3$ substrate, and its process is addressed. Before manufacturing, the device is simulated using a commercial finite element program. The frequency responses of the saw sensor on the temperature change is measured. Since the center frequency on the temperature change from $-30^{\circ}C$ to $80^{\circ}C$ is linearly changed, the saw sensor is applicable to measure the temperature change or strain variation.

UNIFORMLY CONVERGENT NUMERICAL SCHEME FOR A SINGULARLY PERTURBED DIFFERENTIAL-DIFFERENCE EQUATIONS ARISING IN COMPUTATIONAL NEUROSCIENCE

  • DABA, IMIRU TAKELE;DURESSA, GEMECHIS FILE
    • Journal of applied mathematics & informatics
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    • 제39권5_6호
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    • pp.655-676
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    • 2021
  • A parameter uniform numerical scheme is proposed for solving singularly perturbed parabolic partial differential-difference convection-diffusion equations with a small delay and advance parameters in reaction terms and spatial variable. Taylor's series expansion is applied to approximate problems with the delay and advance terms. The resulting singularly perturbed parabolic convection-diffusion equation is solved by utilizing the implicit Euler method for the temporal discretization and finite difference method for the spatial discretization on a uniform mesh. The proposed numerical scheme is shown to be an ε-uniformly convergent accurate of the first order in time and second-order in space directions. The efficiency of the scheme is proved by some numerical experiments and by comparing the results with other results. It has been found that the proposed numerical scheme gives a more accurate approximate solution than some available numerical methods in the literature.

양자화와 오버플로우 비선형성을 가지는 이산시간 불확실 지연 특이시스템의 지연종속 강인 안정성 (Delay-dependent Robust Stability of Discrete-time Uncertain Delayed Descriptor Systems using Quantization/overflow Nonlinearities)

  • 김종해;오도창
    • 전기학회논문지
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    • 제62권4호
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    • pp.529-535
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    • 2013
  • This paper considers the problem of robust stability for uncertain discrete-time interval time-varying delayed descriptor systems using any combinations of quantization and overflow nonlinearities. First, delay-dependent linear matrix inequality (LMI) condition for discrete-time descriptor systems with time-varying delay and quantization/overflow nonlinearities is presented by proper Lyapunov function. Second, it is shown that the obtained condition can be extended into descriptor systems with uncertainties such as norm-bounded parameter uncertainties and polytopic uncertainties by some useful lemmas. The proposed results can be applied to both descriptor systems and non-descriptor systems. Finally, numerical examples are shown to illustrate the effectiveness and less conservativeness.

FITTED MESH METHOD FOR SINGULARLY PERTURBED DELAY DIFFERENTIAL TURNING POINT PROBLEMS EXHIBITING TWIN BOUNDARY LAYERS

  • MELESSE, WONDWOSEN GEBEYAW;TIRUNEH, AWOKE ANDARGIE;DERESE, GETACHEW ADAMU
    • Journal of applied mathematics & informatics
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    • 제38권1_2호
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    • pp.113-132
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    • 2020
  • In this paper, a class of linear second order singularly perturbed delay differential turning point problems containing a small delay (or negative shift) on the reaction term and when the solution of the problem exhibits twin boundary layers are examined. A hybrid finite difference scheme on an appropriate piecewise-uniform Shishkin mesh is constructed to discretize the problem. We proved that the method is almost second order ε-uniformly convergent in the maximum norm. Numerical experiments are considered to illustrate the theoretical results.

Time-Discretization of Non-Affine Nonlinear System with Delayed Input Using Taylor-Series

  • Park, Ji-Hyang;Chong, Kil-To;Kazantzis, Nikolaos;Parlos, Alexander G.
    • Journal of Mechanical Science and Technology
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    • 제18권8호
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    • pp.1297-1305
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    • 2004
  • In this paper, we propose a new scheme for the discretization of nonlinear systems using Taylor series expansion and the zero-order hold assumption. This scheme is applied to the sampled-data representation of a non-affine nonlinear system with constant input time-delay. The mathematical expressions of the discretization scheme are presented and the ability of the algorithm is tested for some of the examples. The proposed scheme provides a finite-dimensional representation for nonlinear systems with time-delay enabling existing controller design techniques to be applied to them. For all the case studies, various sampling rates and time-delay values are considered.

AN INITIAL VALUE METHOD FOR SINGULARLY PERTURBED SYSTEM OF REACTION-DIFFUSION TYPE DELAY DIFFERENTIAL EQUATIONS

  • Subburayan, V.;Ramanujam, N.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제17권4호
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    • pp.221-237
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    • 2013
  • In this paper an asymptotic numerical method named as Initial Value Method (IVM) is suggested to solve the singularly perturbed weakly coupled system of reaction-diffusion type second order ordinary differential equations with negative shift (delay) terms. In this method, the original problem of solving the second order system of equations is reduced to solving eight first order singularly perturbed differential equations without delay and one system of difference equations. These singularly perturbed problems are solved by the second order hybrid finite difference scheme. An error estimate for this method is derived by using supremum norm and it is of almost second order. Numerical results are provided to illustrate the theoretical results.

비병치 유연계의 시간지연 이산제어에서 한스텝선행 미분제어기의 특성 (Characteristics of One Step Advanced Discrete Time D-Control with Time Delay in Noncolocated Flexible System)

  • 강민식
    • 대한기계학회논문집
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    • 제17권7호
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    • pp.1678-1685
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    • 1993
  • This paper considers a time delay control of noncolocated flexible mechanical systems in discrete time domain. A stability criterion suggested in the previous paper is,extended in the consideration of infinite mode property of flexible systems and finite control sampling frequency. Based on the stability criterion, the one step advanced discrete time derivative control is suggested, which can stabilize infinite number of modes of a flexible system. The sensitivity analysis shows the robustness of the one step advanced control to the system parameter uncertainties and time delay errors. Application to a simply supported beam verifies the extended stability criterion and the effectiveness of the one step advanced D-control.