• Title/Summary/Keyword: linear differential system

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STABILITY AND CONSTRAINED CONTROLLABILITY OF LINEAR CONTROL SYSTEMS IN BANACH SPACES

  • Phat, Vu-Ngoc;Park, Jong-Yeoul;Jung, Il-Hyo
    • 대한수학회지
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    • 제37권4호
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    • pp.593-611
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    • 2000
  • For linear time-varying control systems with constrained control described by both differential and discrete-time equations in Banach spaces was give necessary and sufficient conditions for exact global null-controllability. We then show that for such systems, complete stabilizability implies exact null-controllability.

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AN ABS ALGORITHM FOR SOLVING SINGULAR NONLINEAR SYSTEMS WITH RANK DEFECTS

  • Ge, Rendong;Xia, Zun-Quan
    • Journal of applied mathematics & informatics
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    • 제12권1_2호
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    • pp.1-20
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    • 2003
  • A modified ABS algorithm for solving a class of singular non-linear systems, $F(x) = 0, $F\;\in \;R^n$, constructed by combining the discreted ABS algorithm and a method of Hoy and Schwetlick (1990), is presented. The second differential operation of F at a point is not required to be calculated directly in this algorithm. Q-quadratic convergence of this algorithm is given.

WALSH함수의 접근에 의한 분포정수계의 파라메타 추정 (An Approach to Walsh Functions for Parameter Estimation of Distributed Parameter Systems)

  • 안두수;배종일
    • 대한전기학회논문지
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    • 제39권7호
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    • pp.740-748
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    • 1990
  • In this paper, we consider the problem of parameter estimation, i.e., definding the internal structure of a linear distribution parameter system from its input/output data. First, a linear partial differential equation describing the system is double-integrated with respect to two variables and then transformed into an integral equation. Next the Walsh Operation Matrix for Walsh function and their integration are introduced to transform the integral equation into algebraic simultaneous equations. Finally, we develop an algorithm to estimate the parameters of the linear distributed parameter system from the simple linear algebraic simultaneous equations. It is also shown that our algorithm could be effective in real time data processing since it uses the Fast Walsh Transform.

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함수표적 조건하에서의 지연시스템의 최적제어 (Optimal Control of Delay-Differential System under Function Target Condition)

  • Byun, Jeung-Nam
    • 전기의세계
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    • 제27권2호
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    • pp.53-63
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    • 1978
  • The problem of optimally controlling a time-delay control system to a function as the final target is inverstigated. Necessary conditions are presented in the form of Pontryagin's maximum principle, and it is further shown that they are also sufficient for linear systems with a convex cost functional. Several examples are given to illustrate the results.

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ITERATIVE ALGORITHMS AND DOMAIN DECOMPOSITION METHODS IN PARTIAL DIFFERENTIAL EQUATIONS

  • Lee, Jun Yull
    • Korean Journal of Mathematics
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    • 제13권1호
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    • pp.113-122
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    • 2005
  • We consider the iterative schemes for the large sparse linear system to solve partial differential equations. Using spectral radius of iteration matrices, the optimal relaxation parameters and good parameters can be obtained. With those parameters we compare the effectiveness of the SOR and SSOR algorithms. Applying Crank-Nicolson approximation, we observe the error distribution according to domain decomposition. The number of processors due to domain decomposition affects time and error. Numerical experiments show that effectiveness of SOR and SSOR can be reversed as time size varies, which is not the usual case. Finally, these phenomena suggest conjectures about equilibrium time grid for SOR and SSOR.

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CCD를 이용한 선형예측기 (Linear Predictor Using Charge-Coupled Devices)

  • 최태영;신철재
    • 한국통신학회논문지
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    • 제12권1호
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    • pp.9-18
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    • 1987
  • DPCM의 선형예측기를 비감광성 원소(dummy pixel)를 가지고 있는 선형 감광성 전하결합소자(CCD)를 광전자 시스템으로 구현하는 방법을 제시하였다. 종래의 시스템과 마찬가지로 이 시스템은 입력광원, 공간여파기(마스크), 선형감광성 CCD의 3부분으로 구성되었다. 비감광성 원소에 의한 시간지연을 고려하여 종래의 마스크를 변형하여 각 예측계수를 하나 이상의 마스크 원소에 분산시킨, 새로운 방식의 분산형 마스크를 제시하고 이 마스크를 사용할 때의 특성을 이론적으로 분석하였으며 실험으로 확인하였다.

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웨이블릿 및 시스템 분할을 이용한 특이섭동 선형 시스템 해석 (Wavelet-based Analysis for Singularly Perturbed Linear Systems Via Decomposition Method)

  • 김범수;심일주
    • 제어로봇시스템학회논문지
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    • 제14권12호
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    • pp.1270-1277
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    • 2008
  • A Haar wavelet based numerical method for solving singularly perturbed linear time invariant system is presented in this paper. The reduced pure slow and pure fast subsystems are obtained by decoupling the singularly perturbed system and differential matrix equations are converted into algebraic Sylvester matrix equations via Haar wavelet technique. The operational matrix of integration and its inverse matrix are utilized to reduce the computational time to the solution of algebraic matrix equations. Finally a numerical example is given to demonstrate the validity and applicability of the proposed method.

퍼지 모델 기반 피드백 선형화 제어 시스템의 강인 안정성 해석과 설계 (Robust Stability Analysis and Design of Fuzzy Model Based Feedback Linearization Control Systems)

  • 박창우;이종배;김영욱;성하경
    • 전자공학회논문지CI
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    • 제41권3호
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    • pp.79-90
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    • 2004
  • 본 논문에서는 퍼지 피드백 선형화 제어 시스템에 대한 체계적인 강인 안정성 해석과 제어기 설계방법을 제안한다. 제어 대상인 비선형 시스템을 모델링 하는데 있어서 Takagi-Sugeno 퍼지 모델 기법을 이용하고, 이때 발생할 수 있는 모델 불확실성과 외란을 고려한다. 모델링을 통해서 얻어진 폐루프 시스템에 대한 안정성 판별은 Diagonal Norm based Linear Differential Inclusions 으로의 구조 변환을 이용하여 강인 안정성 해석을 하였으며, 퍼지 피드백 선형화 제어 시스템을 안정화시키는 제어기의 이득을 얻기 위하여 LMI 최적화 계산법을 기반으로 한 수치 해석법을 제시하였다. 제안된 방법의 효과를 확인하기 위해서 강인 안정성 해석 및 제어 설계에 대한 모의실험을 수행한다.

STABILITY OF THE MILSTEIN METHOD FOR STOCHASTIC DIFFERENTIAL EQUATIONS WITH JUMPS

  • Hu, Lin;Gan, Siqing
    • Journal of applied mathematics & informatics
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    • 제29권5_6호
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    • pp.1311-1325
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    • 2011
  • In this paper the Milstein method is proposed to approximate the solution of a linear stochastic differential equation with Poisson-driven jumps. The strong Milstein method and the weak Milstein method are shown to capture the mean square stability of the system. Furthermore using some technique, our result shows that these two kinds of Milstein methods can well reproduce the stochastically asymptotical stability of the system for all sufficiently small time-steps. Some numerical experiments are given to demonstrate the conclusions.