• Title/Summary/Keyword: recursive relations

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VOLUME OF GRAPH POLYTOPES FOR THE PATH-STAR TYPE GRAPHS

  • Ju, Hyeong-Kwan;Seo, Soo-Jeong
    • Honam Mathematical Journal
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    • v.38 no.1
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    • pp.71-84
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    • 2016
  • The aim of this work is to compute the volume of the graph polytope associated with various type of finite simple graphs composed of paths and stars. Recurrence relations are obtained using the recursive volume formula (RVF) which was introduced in Lee and Ju ([3]). We also discussed the relationship between the volume of the graph polytopes and the number of linear extensions of the associated posets for given bipartite graphs.

Nonlinear Synamics and Attitude Control of Articulated and Flexible Spacecraft (분절적이고 유연성있는 우주 구조물의 동역학적 해석 및 자세제어)

  • ;Kwatny, Harry G.
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.937-942
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    • 1993
  • This paper extends the authors' prior work on the regulation of flexible space structures via partial feedback linearization (PFL) methods to articulated systems. Recursive relations introduced by Jain and Rodriguez are central to the efficient formulation of models via Poincare's form of Lagrange's equations. Such models provide for easy construction of feedback linearizing control laws. Adaptation is shown to be an effective way of reducing sensitivity to uncertain parameters. An application to a flexible platform with mobile remote manipulator system is highlighted.

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Stabilization of the Time-variant Cointegrating Relations (시간가변적 공적분관계의 안정화)

  • Kim, Tae-Ho;Park, Ji-Won
    • The Korean Journal of Applied Statistics
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    • v.21 no.5
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    • pp.727-738
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    • 2008
  • If a cointegrating relation is affected by important economic and political events occurred in the sample period, the assumption of the time-invariant cointegrating vector is violated, which leads to the misrep-resentation of the actual relations between the variables. From such a viewpoint, this study utilizes the recursive estimation process in testing for the stability of the long-run equilibrium of the domestic stock market system and then attempts to develop the framework for stabilizing time-variant cointegraing relations by introducing the dummy variables where the structural changes are found to exist.

Impact of the Change in Market Conditions on a Test for Market Cointegration (시장여건의 변화가 시장통합의 검정에 미치는 영향)

  • Kim, Tae-Ho
    • The Korean Journal of Applied Statistics
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    • v.24 no.1
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    • pp.103-114
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    • 2011
  • Current series for testing stock market cointegrations tend to be restricted to analyzing the relations between stock market prices and may not be able to understand the whole picture of the variations in the stock market system. The nature of the variations in the stock prices, between the countries that experienced economic crisis and those did not, are different for a certain period of time, and accordingly excluding the potentially important variables in the stock market system causes statistical bias. This study considers domestic foreign exchange markets and financial markets in testing for the cointegrating relations of the stock prices in Korea and major investing countries. The results demonstrate the possibility of specification errors unless those markets are included in the statistical modeling process.

A Simplification of Polynomial Representations for the Moments of the Mahalanobis Distances (마할라노비스 거리의 모멘트에 대한 다정식 표현의 간략화)

  • 김수중;홍재근
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.21 no.3
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    • pp.1-5
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    • 1984
  • It is investigated that Mahalanobis distances are invariant under a proper transformation and interest MDs are distributed as non-central chi-square while it is well known that intraset MDs are distributed as central chi-square. And their moments have been expressed as simple polynomials whose coefficients satisfy straightforward recursive relations.

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Evaluation of Manufacturing Cost Considering Reliability of Manufacturing facilities (설비 신뢰성을 고려한 제조경비 평가)

  • Lee, Jee-Koo
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.13 no.1
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    • pp.28-34
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    • 2004
  • In this study, new way of evaluating manufacturing cost Is organized and applied. In real manufacturing circumstances, tolerances of parts and assemblies are closely related to the cost. Several researches have been tried to identify the relations and set models. Moreover tolerances have influences on the maintenance of the manufacturing facilities. However Past researches have not considered the processing cost for the failed products. Therefore maintenance costs are represented as stochastic expressions, which include reliability of assembly and facilities. The stochastic nature of the maintenance cost is modeled and solved using Markov chain approach. Results show that this approach gives reliable estimations with remarkable computing time reduction.

DESIGN OF ADAPTIVE CONTROLLER OF DC SERVO MOTOR (직류전동기의 적응 제어기 설계에 관한 연구)

  • Chang, S.G.;Won, J.S.
    • Proceedings of the KIEE Conference
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    • 1987.11a
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    • pp.25-28
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    • 1987
  • Design procedure of adaptive controller with variable load condition is present and applied to velocity control of small, permanent magnet DC servo motor. The state feedback control scheme is adopted and Recursive Least Squares algorithm is used for parameter estimation. In order to reduce the time consuming. In the procedure of adaptation-gain tuning of state feedback controller, approximate curve fitting technique is applied to the relations between load condition and poles of the system, load condition and feedback gains. With this method, fast adaptation can be accomplished. It is shown that this procedure can be applied not only to variable load condition but also to variation of other system constants, for example variation of resistance and inductance etc.. Simulation results is present for both cases - variable inertia load, variable motor resistance to verify performance improvements. This design procedure produces an adaptive con troller which is feasible for implementation with microprocessor by reducing calculation time.

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Fast DFT Matrices Transform Based on Generalized Prime Factor Algorithm

  • Guo, Ying;Mao, Yun;Park, Dong-Sun;Lee, Moon-Ho
    • Journal of Communications and Networks
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    • v.13 no.5
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    • pp.449-455
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    • 2011
  • Inspired by fast Jacket transforms, we propose simple factorization and construction algorithms for the M-dimensional discrete Fourier transform (DFT) matrices underlying generalized Chinese remainder theorem (CRT) index mappings. Based on successive coprime-order DFT matrices with respect to the CRT with recursive relations, the proposed algorithms are presented with simplicity and clarity on the basis of the yielded sparse matrices. The results indicate that our algorithms compare favorably with the direct-computation approach.

An Empirical Study on the long-term Relationship between House Prices and Inflation in the U.S. (주택가격과 물가의 장기관련성에 관한 실증연구 : 미국을 중심으로)

  • Lee, Young Soo
    • International Area Studies Review
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    • v.14 no.3
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    • pp.246-263
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    • 2010
  • This study examines how the long-run relations between housing price and inflation in the United Sates have changed since the year of 2000. Johansen co-integration test, estimation of long-run equilibrium equation, and Granger causality tests are conducted, based on the VECM. Data covers the period from the first quarter of 1975 to the second quarter of 2010. I adopt the recursive estimation method in which the final period of the estimation is expanded by one quarter, starting from the first quarter of 2000. The empirical results are as follows: (1) In spite of the sharp increase of housing price, the long-run relationship of house prices and inflation has been remained stable until 2007, showing that house prices are a stable inflation hedge in the long run. (2) The housing price plunge since 1997 does not seem to be related to the restore of the long-run relationship between housing prices and inflation. (3) Granger causality test results support the hypothesis that inflation granger-causes housing prices with 10% significance level, but reject the hypothesis that housing price granger-causes inflation.

MSE Convergence Characteristic over Tap Weight Updating of RBRLS Algorithm Filter (RBRLS 알고리즘의 탭 가중치 갱신에 따른 MSE 성능 분석)

  • 김원균;윤찬호;곽종서;나상동
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 1999.11a
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    • pp.248-251
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    • 1999
  • We extend the sue of the method of least square to develop a recursive algorithm for the design of adaptive transversal filters such that, given the least-square estimate of this vector of the filter at iteration n-1, we may compute the updated estimate of this vector at i(oration n upon the arrival of new data. The RLS algorithm may be viewed as a special case of the Kalman filter. Indeed this special relationship between the RLS algorithm and the Kalman filter is considered. We begin the development of the RLS algorithm by reviewing some basic relations that pertain to the method of least squares. Then, by exploiting a relation in matrix algebra known as the matrix inversion lemma, we develop the RLS algorithm. An important feature of the RLS algorithm is that it utilizes information contained in the input data, extending back to the instant of time when the algorithm is initiated. The resulting rate of convergence is therefore typically an order of magnitude faster than the simple LMS algorithm. This improvement in performance, however, Is achieved at the expensive of a large increase in computational complexity.

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