• Title/Summary/Keyword: systems of linear equations

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Adaptive Bilinear Lattice Filter(I)-Bilinear Lattice Structure (적응 쌍선형 격자필터(I) - 쌍선형 격자구조)

  • Heung Ki Baik
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.29B no.1
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    • pp.26-33
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    • 1992
  • This paper presents lattice structure of bilinear filter and the conversion equations from lattice parameters to direct-form parameters. Billnear models are attractive for adaptive filtering applications because they can approximate a large class of nonlinear systems adequately, and usually with considerable parsimony in the number of coefficients required. The lattice filter formulation transforms the nonlinear filtering problem into an equivalent multichannel linear filtering problem and then uses multichannel lattice filtering algorithms to solve the nonlinear filtering problem. The lattice filters perform a Gram-Schmidt orthogonalization of the input data and have very good easily extended to more general nonlinear output feedback structures.

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A domain decomposition method applied to queuing network problems

  • Park, Pil-Seong
    • Communications of the Korean Mathematical Society
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    • v.10 no.3
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    • pp.735-750
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    • 1995
  • We present a domain decomposition algorithm for solving large sparse linear systems of equations arising from queuing networks. Such techniques are attractive since the problems in subdomains can be solved independently by parallel processors. Many of the methods proposed so far use some form of the preconditioned conjugate gradient method to deal with one large interface problem between subdomains. However, in this paper, we propose a "nested" domain decomposition method where the subsystems governing the interfaces are small enough so that they are easily solvable by direct methods on machines with many parallel processors. Convergence of the algorithms is also shown.lso shown.

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A Practical Privacy-Preserving Multi-Party Computation Protocol for Solving Linear Systems (선형계를 위한 실용적인 프라이버시 보존형 다자간 계산 프로토콜)

  • Yi Ok-Yeon;Hong Do-Won;Kang Ju-Sung
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.16 no.2
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    • pp.13-24
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    • 2006
  • We consider a privacy-preserving cooperative computation protocol evaluating a beneficial function of all participants' secret inputs, such that each party finally holds a share of the function output. We propose a practical privacy-preserving cooperative computation protocol for solving the linear system of equations problem md the linear least-squares problem. Solutions to these problems are widely used in many areas such as banking, manufacturing, and telecommunications. Our multi-party protocol is an efficiently extended version of the previous two-party model.

A Study on the System Identification of Cold Tandem Mills using the Subspace Method (부분 공간법을 이용한 연속 냉간 압연기의 시스템 규명에 관한 연구)

  • 장유신;김인수;이만형
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.10a
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    • pp.299-303
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    • 1995
  • This paper charcterizes dynamics of cold tandem minns, and constructs it state-space model of which are linear time invariant, using subspace method. Step responses particularly show the influence on mass transfer delay. Input-output data set are obtained form nonlinear differential equations including mass transfer delay and nonlinearity. It is shown that the identified state-apace model well approximates the original systems dynamics.

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A sturdy on centralized adaptive control of robot manipulator (로봇 매니플레이터의 집중 적응 제어에 관한 연구)

  • 박성기;홍규장;이상철;정찬수
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10a
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    • pp.45-49
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    • 1988
  • This paper presents a centralized adaptive control scheme based on perturbation equations in the vicinity of a desired trajectory,which are used to design a feedback control about the desired trajectory. This adaptive control scheme reduces the manipulator control problem from a nonlinear control to controlling a linear control system about a desried trajectory. Computer simulation studies of a two-joint manipulator are performed on a IBM-PC to illustrate the performance of this adaptive control scheme.

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APPROXIMATE REACHABLE SETS FOR RETARDED SEMILINEAR CONTROL SYSTEMS

  • KIM, DAEWOOK;JEONG, JIN-MUN
    • Journal of applied mathematics & informatics
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    • v.38 no.5_6
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    • pp.469-481
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    • 2020
  • In this paper, we consider a control system for semilinear differential equations in Hilbert spaces with Lipschitz continuous nonlinear term. Our method is to find the equivalence of approximate controllability for the given semilinear system and the linear system excluded the nonlinear term, which is based on results on regularity for the mild solution and estimates of the fundamental solution.

FUZZY CONTROL OF THREE LINKS A ROBOTIC MANIPULATOR

  • Kumbla, Kishan;Jamshidi, Mo
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1993.06a
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    • pp.1410-1413
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    • 1993
  • This paper presents the application of fuzzy control to three links of a Rhino robot and compares its performance to traditional PD control. The dynamics of motion of robot links are governed by nonlinear differential equations. The fuzzy controller, being an adaptive technique, gives better performance than the traditional linear PD controller over a typical operational range. The fuzzy controller reaches the desired position with no overshoot, which is unlikely with the PD controller.

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Nonlinear vibration of oscillatory systems using semi-analytical approach

  • Bayat, Mahmoud;Bayat, Mahdi;Pakar, Iman
    • Structural Engineering and Mechanics
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    • v.65 no.4
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    • pp.409-413
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    • 2018
  • In this paper, He's Variational Approach (VA) is used to solve high nonlinear vibration equations. The proposed approach leads us to high accurate solution compared with other numerical methods. It has been established that this method works very well for whole range of initial amplitudes. The method is sufficient for both linear and nonlinear engineering problems. The accuracy of this method is shown graphically and the results tabulated and results compared with numerical solutions.

Applications of Graph Theory for the Pipe Network Analysis (상수관망해석을 위한 도학의 적용)

  • Park, Jae-Hong;Han, Geon-Yeon
    • Journal of Korea Water Resources Association
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    • v.31 no.4
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    • pp.439-448
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    • 1998
  • There are many methods to calculate steady-state flowrate in a large water distribution system. Linear method which analyzes continuity equations and energy equations simultaneously is most widely used. Though it is theoretically simple, when it is applied to a practical water distribution system, it produces a very sparse coefficient matrix and most of its diagonal elements are to be zero. This sparsity characteristic of coefficient matrix makes it difficult to analyze pipe flow using the linear method. In this study, a graph theory is introduced to water distribution system analysis in order to prevent from producing ill-conditioned coefficient matrix and the technique is developed to produce positive-definite matrix. To test applicability of developed method, this method is applied to 22 pipes and 142 pipes system located nearby Taegu city. The results obtained from these applications show that the method can calculate flowrate effectively without failure in converage. Thus it is expected that the method can analyze steady state flowrate and pressure in pipe network systems efficiently. Keywords : pipe flow analysis, graph theory, linear method.

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Target Range Estimation Method using Ghost Target in the Submarine Linear Array Sonar (잠수함 선배열소나의 허위표적 정보를 이용한 표적의 거리추정 기법)

  • Choi, Byungwoong;Kim, Kyubaek
    • Journal of the Korea Institute of Military Science and Technology
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    • v.18 no.5
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    • pp.532-537
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    • 2015
  • In this paper, we propose target range estimation method using ghost target in the submarine linear array sonar. Usually, when submarine detect target, they use passive sonar detection to avoid self-disclosure by active sonar transmission. But, originally, passive linear array sonar have limitation for target range estimation and additional processing is required to get target range information. For the case of near-field target, typical range estimation method is using multiple information by multipath effect in underwater environment. Acoustic signal generated from target are propagated along with numerous multipath in underwater environment. Since multipath target signals received in the linear array sonar have different conic angles each other, ghost target is appeared at the bearing different with real target bearing and sonar operator can find these information on the operation console. Under several assumption, this geometric properties can be analysed mathematically and we get the target range by derivation of this geometric equations using measured conic angles of real target and ghost target.