• 제목/요약/키워드: inverse functions

검색결과 250건 처리시간 0.022초

RBF Network 를 이용한 표면온도 역추정에 관한 연구 (Inverse Estimation of Surface Temperature Using the RBF Network)

  • 정법성;이우일
    • 대한기계학회:학술대회논문집
    • /
    • 대한기계학회 2004년도 춘계학술대회
    • /
    • pp.1183-1188
    • /
    • 2004
  • The inverse heat conduction problem (IHCP) is a problem of estimating boundary condition from temperature measurement at one or more interior points. Neural networks are general information processing systems inspired by the connectionist theory of human brain. By properly training the network by the learning rule, the neural network method can handle many non-linear or other complex problems. In this work, neural network is applied to complicated inverse heat conduction problems. Efficiency of the procedure is enhanced by incorporating the radial basis functions (RBF). The RBF is trained faster than other neural network and can find smooth solution. In order to demonstrate the effectiveness of the current scheme, a typical one-dimensional IHCP is considered. At one surface, the temperature as well as the heat flux is known. The unknown temperature of interest is estimated on the other side of the slab. The results from the proposed method based on RBF neural network are compared with the conventional method.

  • PDF

정규화된 고차 inverse Chebyshev함수를 이용한 능동 필터 설계 (An Active filter Design using Normalized High Order Inverse Chebyshev Functions)

  • 신홍규;김동용
    • 한국통신학회논문지
    • /
    • 제13권4호
    • /
    • pp.322-331
    • /
    • 1988
  • 본 논문에서는 고차 inverse Chebyshev 함수를 이용하여 능동 RC필터로 설계할 때 최대 동적범위를 갖고, 감도가 낮은 종속연결법으로 실현하는 방법을 제시하였다. 이때, 최대 동적범위를 만족시키도록 평탄행렬에 의한 최적 극점-영점 결합과 종속 연결순서 및 이득 분배에 대한 알고리즘을 제시하였으며, 능동 RC 회로의 단점인 감도 문제를 향상시키기 위하여 부 궤환을 갖는 2차 블록과 1차 블록을 설계하였다. 제시된 설계 방법을 이용하여 규준화된 7차 inverse Chebyshev함수의 능동 RC저역통과 필터를 설계한 결과 주어진 설계 명세조건과 일치함을 보였다.

  • PDF

BETWEEN PAIRWISE -α- PERFECT FUNCTIONS AND PAIRWISE -T- α- PERFECT FUNCTIONS

  • ALI A. ATOOM;FERAS BANI-AHMAD
    • Journal of applied mathematics & informatics
    • /
    • 제42권1호
    • /
    • pp.15-29
    • /
    • 2024
  • Many academics employ various structures to expand topological space, including the idea of topology, as a result of the importance of topological space in analysis and some applications. One of the most notable of the generalizations was the definition of perfect functions in bitopological spaces, which was presented by Ali.A.Atoom and H.Z.Hdeib. We propose the notion of α- pairwise perfect functions in bitopological spaces and define different types of this concept in this study. Pairwise -T - α- perfect functions, pairwise -α-irr-perfect functions, and pairwise -T - α- irr-perfect functions, are all characterized in addition to pairwise -α-perfect functions. We go through their primary characteristics and show how they interact. Finally, under these functions, we introduce the images and inverse images of certain bitopological features. About these concepts, some product theorems have been discovered.

부가경로 전달함수의 온라인 예측에 의한 능동소음제어의 성능 향상 (Performance improvement of active noise control using on-line estimation of secondary path transfer function)

  • 김흥섭;손동구;오재응
    • 대한기계학회논문집A
    • /
    • 제21권2호
    • /
    • pp.281-287
    • /
    • 1997
  • In the conventional inverse modeling method for on-line modeling of the secondary path transfer function, the signal to noise ratio between the arbitrary random signal and the plant noise have to keep at -10 - -20 dB. For these reasons, the modeling can't be exactly implemented by the conventional method alone and the convergence time for modeling becomes too long. In this study, by combining the conventional inverse modeling method with an adaptive line enhancer, or with an adaptive noise canceller, a rigorous transfer functions of secondary path modeling and the control of a primary noise have been implemented simultaneously.

SOME DECOMPOSITION FORMULAS ASSOCIATED WITH THE SARAN FUNCTION FE

  • Kim, Yong-Sup;Hasanov, Anvar;Lee, Chang-Hyun
    • 호남수학학술지
    • /
    • 제32권4호
    • /
    • pp.581-592
    • /
    • 2010
  • With the help of some techniques based upon certain inverse pairs of symbolic operators initiated by Burchnall-Chaundy, the authors investigate decomposition formulas associated with Saran's function $F_E$ in three variables. Many operator identities involving these pairs of symbolic operators are first constructed for this purpose. By employing their decomposition formulas, we also present a new group of integral representations for the Saran function $F_E$.

Haar 웨이블릿을 이용한 선형시스템의 상태해석에 관한 연구 (Study for State Analysis of Linear Systems using Haar Wavelet)

  • 김범수;심일주
    • 제어로봇시스템학회논문지
    • /
    • 제14권10호
    • /
    • pp.977-982
    • /
    • 2008
  • In this paper Haar functions are developed to approximate the solutions of continuous time linear system. Properties of Haar functions are first presented, and an explicit expression for the inverse of the Haar operational matrix is presented. Using the inverse of the Haar operational matrix the full order Stein equation should be solved in terms of the solutions of pure algebraic matrix equations, which reduces the computation time remarkably. Finally a numerical example is illustrated to demonstrate the validity of the proposed algorithm.

Closed-form solutions for non-uniform axially loaded Rayleigh cantilever beams

  • Sarkar, Korak;Ganguli, Ranjan;Elishakoff, Isaac
    • Structural Engineering and Mechanics
    • /
    • 제60권3호
    • /
    • pp.455-470
    • /
    • 2016
  • In this paper, we investigate the free vibration of axially loaded non-uniform Rayleigh cantilever beams. The Rayleigh beams account for the rotary inertia effect which is ignored in Euler-Bernoulli beam theory. Using an inverse problem approach we show, that for certain polynomial variations of the mass per unit length and the flexural stiffness, there exists a fundamental closed form solution to the fourth order governing differential equation for Rayleigh beams. The derived property variation can serve as test functions for numerical methods. For the rotating beam case, the results have been compared with those derived using the Euler-Bernoulli beam theory.

Theoretical Study of Coherent Acoustic Inverse Method for Bubble Sizing in Bubbly Water

  • Choi, Bok-Kyoung;Yoon, Suk-Wang
    • The Journal of the Acoustical Society of Korea
    • /
    • 제15권4E호
    • /
    • pp.3-8
    • /
    • 1996
  • The bubble size distribution is critical information to understand sound propagation and ambient noise in the ocean. To estimate the bubble size distribution in a bubbly water, the sound attenuation has been only in the conventional acoustic bubble sizing method without considering the sound speed variation. However, the effect of the sound speed variation in bubbly water cannot be neglected because of its compressibility variation. The sound attenuation is also affected by the sound speed variation. In this paper, a coherent acoustic bubble sizing inverse technique is introduced as a new bubble sizing technique with considering sound speed variation as well as the sound attenuation. This coherent sizing method is theoretically verified with the bubble distribution functions of single-size, Gaussian, and power-law functions. Its numerical test results with the coherent acoustic bubble sizing method show good agreement with the given bubble distributions.

  • PDF

Some Exponentiated Distributions

  • Ali, M. Masoom;Pal, Manisha;Woo, Jung-Soo
    • Communications for Statistical Applications and Methods
    • /
    • 제14권1호
    • /
    • pp.93-109
    • /
    • 2007
  • In this paper we study a number of new exponentiated distributions. The survival function, failure rate and moments of the distributions have been derived using certain special functions. The behavior of the failure rate has also been studied.

특이점 근방에서 역 기구학 해를 구하기 위한 자동 감쇄 분배 방법 (A Damping Distribution Method for Inverse Kinematics Problem Near Singular Configurations)

  • 성영휘
    • 제어로봇시스템학회논문지
    • /
    • 제4권6호
    • /
    • pp.780-785
    • /
    • 1998
  • In this paper, it is shown that the conventional methods for dealing with the singularity problem of a manipulator can be generalized as a local minimization problem with differently weighted objective functions. A new damping method proposed in this article automatically determines the damping amounts for singular values, which are inversely proportional to the magnitude of the singular values. Furthermore, this can be done without explicitly computing the singular values. The proposed method can be applied to all the manipulators with revolute joints.

  • PDF