• Title/Summary/Keyword: Iterative technique

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Control of Wafer Temperature Uniformity in Rapid Thermal Processing using an Optimal Iterative teaming Control Technique (최적 반복 학습 제어기법을 이용한 RTP의 웨이퍼 온도균일제어)

  • 이진호;진인식;이광순;최진훈
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.358-358
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    • 2000
  • An iterative learning control technique based on a linear quadratic optimal criterion is proposed for temperature uniformity control of a silicon wafer in rapid thermal processing.

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SOME ITERATIVE ALGORITHMS FOR THE GENERALIZED MIXED EQUILIBRIUM-LIKE PROBLEMS

  • Liu, Zeqing;Chen, Zhengsheng;Kang, Shin-Min
    • Journal of applied mathematics & informatics
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    • v.26 no.3_4
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    • pp.481-491
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    • 2008
  • In this paper, we introduce and analyze a new class of generalized mixed equilibrium-like problems. By using the auxiliary principle technique, we suggest three iterative algorithms for the generalized mixed equilibrium-like problem. Under certain conditions, we establish the convergence of the iterative algorithms. Our results extend, improve and unify several known results in this field.

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An Accelerated Iterative Method for the Dynamic Analysis of Multibody Systems (반복 계산법 및 계산 가속기법에 의한 다물체 동역학 해법)

  • 이기수;임철호
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.5
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    • pp.899-909
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    • 1992
  • An iterative solution technique is presented to analyze the dynamic systems of rigid bodies subjected to kinematic constraints. Lagrange multipliers associated with the constraints are iteratively computed by monotonically reducing an appropriately defined constraint error vector, and the resulting equation of motion is solved by a well-established ODE technique. Constraints on the velocity and acceleration as well as the position are made to be satisfied at joints at each time step. Time integration is efficiently performed because decomposition or orthonormalization of the large matrix is not required at all. An acceleration technique is suggested for the faster convergence of the iterative scheme.

STUDIES ON MONOTONE ITERATIVE TECHNIQUE FOR NONLINEAR SYSTEM OF INITIAL VALUE PROBLEMS

  • Nanware, J.A.;Gadsing, M.N.
    • Journal of the Chungcheong Mathematical Society
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    • v.35 no.1
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    • pp.53-67
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    • 2022
  • Nonlinear system of initial value problems involving R-L fractional derivative is studied. Monotone iterative technique coupled with lower and upper solutions is developed for the problem. It is successfully applied to study qualitative properties of solutions of nonlinear system of initial value problem when the function on the right hand side is nondecreasing.

SOLVING QUASIMONOTONE SPLIT VARIATIONAL INEQUALITY PROBLEM AND FIXED POINT PROBLEM IN HILBERT SPACES

  • D. O. Peter;A. A. Mebawondu;G. C. Ugwunnadi;P. Pillay;O. K. Narain
    • Nonlinear Functional Analysis and Applications
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    • v.28 no.1
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    • pp.205-235
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    • 2023
  • In this paper, we introduce and study an iterative technique for solving quasimonotone split variational inequality problems and fixed point problem in the framework of real Hilbert spaces. Our proposed iterative technique is self adaptive, and easy to implement. We establish that the proposed iterative technique converges strongly to a minimum-norm solution of the problem and give some numerical illustrations in comparison with other methods in the literature to support our strong convergence result.

MONOTONE ITERATIVE TECHNIQUE FOR IMPULSIVE DIFFERENTIAL EQUATIONS WITH TIME VARIABLES

  • Qi, Jian-Gang;Liu, Yan-Sheng
    • Journal of applied mathematics & informatics
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    • v.7 no.2
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    • pp.539-552
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    • 2000
  • In this paper, we established the general comparison principles for IVP of impulsive differential equations with time variables, which strictly extend and improve the precious comparison results obtained by V. Lakes. et.al . and S.K.Kaul([3]-[7]). Whit the general comparison results, we constructed the monotone iterative sequences of solution for IVP of such equations which converges the maximal and minimal and minimal solutions , respectively.

EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS FOR SECOND-ORDER STURM-LIOUVILLE AND MULTI-POINT PROBLEMS ON TIME SCALES

  • Sang, Yan-Bin;Wei, Zhongli;Dong, Wei
    • Bulletin of the Korean Mathematical Society
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    • v.48 no.5
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    • pp.1047-1061
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    • 2011
  • In this paper, a class of second-order boundary value problems with Sturm-Liouville boundary conditions or multi-point conditions is considered. Some existence and uniqueness theorems of positive solutions of the problem are obtained by using monotone iterative technique, the iterative sequences yielding approximate solutions are also given. The results are illustrated with an example.

EXISTENCE AND ITERATIVE APPROXIMATIONS OF SOLUTIONS FOR STRONGLY NONLINEAR VARIATIONAL-LIKE INEQUALITIES

  • Li, Jin-Song;Sun, Ju-He;Kang, Shin-Min
    • East Asian mathematical journal
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    • v.27 no.5
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    • pp.585-595
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    • 2011
  • In this paper, we introduce and study a new class of strongly nonlinear variational-like inequalities. Under suitable conditions, we prove the existence of solutions for the class of strongly nonlinear variational- like inequalities. By making use of the auxiliary principle technique, we suggest an iterative algorithm for the strongly nonlinear variational-like inequality and give the convergence criteria of the sequences generated by the iterative algorithm.

An Iterative Technique for Real-Time Tracking of Power System Harmonics

  • Sidhu, T.S.;Zadeh, M.R.D.;Pooranalingam, P.J.;Oh, Yong-Taek
    • Journal of Electrical Engineering and Technology
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    • v.6 no.3
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    • pp.319-327
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    • 2011
  • An iterative technique based on orthogonal filters and frequency tracking is proposed to estimate harmonic components in power systems. The technique uses frequency interpolation to estimate fundamental frequency and harmonics when the nominal frequency of the signal is a non-integer value. Due to the number of computations involved during the generation of filter coefficients, an offline computation is suggested. Beneficial features of the proposed technique include fixed sampling rate and fixed data window size. The performance of the proposed technique is examined by simulating different power system operating conditions and evaluating the data from these simulations. A technique based on Fast Fourier Transform is also used to estimate the harmonic components for all the simulated signals. These estimates are compared with those obtained from the proposed technique. Results show that the proposed technique can converge to the accurate fundamental frequency and therefore, provide accurate harmonic components even when the fundamental frequency is not equal to the nominal frequency.

Binary Nonlinear Joint Transform Correlator with Sinusoidal Iterative Filter in Spectrum Domain

  • Jeong, Man-Ho
    • Journal of the Optical Society of Korea
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    • v.14 no.4
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    • pp.357-362
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    • 2010
  • The joint transform correlator (JTC) has been the best known technique for pattern recognition and identification. This paper proposes a new technique of fringe adjustment by adopting a sinusoidal amplitude-modulated iterative filter convolved with an interference fringe pattern in the joint power spectrum (JPS) domain. The comparison of our new technique and other techniques is presented to show that the newly proposed technique can successfully improve both the correlation peaks and the peak signal-to-noise ratio (PSNR). Simulated results of enhanced interference fringes are also presented.