• Title/Summary/Keyword: n-th order

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Realization of n-th Order Voltage Transfer Function Using a Single Operational Transresistance Amplifier

  • Kilinc, Selcuk;Cam, Ugur
    • ETRI Journal
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    • v.27 no.5
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    • pp.647-650
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    • 2005
  • A new configuration to realize the most general n-th order voltage transfer function is proposed. It employs only one operational transresistance amplifier (OTRA) as the active element. In the synthesis of the transfer function, the RC:-RC decomposition technique is used. To the best of author's knowledge, this is the first topology to be used in the realization of n-th order transfer function employing single OTRA.

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Mismatching Problem between Generic Pole-assignabilities by Static Output Feedback and Dynamic Output Feedback in Linear Systems

  • Kim Su-Wood
    • International Journal of Control, Automation, and Systems
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    • v.3 no.1
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    • pp.56-69
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    • 2005
  • In this paper, it is clearly shown that the two well-known necessary and sufficient conditions mp n as generic static output feedback pole-assignment and mp + d(m+p) n+d as generic minimum d-th order dynamic output feedback pole-assignment on complex field, unbelievably, do not match up each other in strictly proper linear systems. For the analysis, a diagram analysis is newly created (which is defined by the analysis of 'convoluted rectangular/dot diagrams' constructed via node-branch conversion of the signal flow graphs of output feedback gain loops). Under this diagram analysis, it is proved that the minimum d-th order dynamic output feedback compensator for pole-assignment in m-input, p-output, n-th order systems is quantitatively decomposed into static output feedback compensator and its associated d number of arbitrary 1st order dynamic elements in augmented (m+d)-input, (p+d)-output, (n+d)-th order systems. Total configuration of the mismatched data is presented in a Table.

BIORTHOGONAL WAVELET DERIVATIVES

  • Kwon, Soon-Geol
    • Journal of applied mathematics & informatics
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    • v.9 no.1
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    • pp.423-431
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    • 2002
  • In this paper, we find $n^{th}$ order wavelet derivatives of a sufficiently smooth function using biorthogonal wavelet bases and derive the order of convergence of the $n^{th}$ order wavelet derivatives.

Design of Robust Linear Multivariable Optimal Model Following Servo System Incorporating Feedforward Compensator (피이드포워드 보상기를 갖는 강인한 선형 다변수 최적 모델 추종 서보계의 구성에 관한 연구)

  • Hwang, C.S.;Kim, C.T;Kim, D.W.;Kim, M.S.;Lee, K.H.
    • Proceedings of the KIEE Conference
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    • 1993.07a
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    • pp.338-340
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    • 1993
  • In this paper, the method for designing a robust linear multivariable model following servo system is proposed. This model following servo system for the (n)th order reference input and the (n)th order disturbance is treated, and is designed so that the (n)th order response of the plant should be kept close to the (n)th order response of the given model by LQ(Linear Quadratic) optimal regulator approach. It is proved that the characteristics of the model following servo system is robust in the presence of the disturbances and the parameter perturbations of the plant dynamics.

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SOME RESULTS RELATING TO SUM AND PRODUCT THEOREMS OF RELATIVE (p, q, t) L-TH ORDER AND RELATIVE (p, q, t) L-TH TYPE OF ENTIRE FUNCTIONS

  • Biswas, Tanmay
    • Korean Journal of Mathematics
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    • v.26 no.2
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    • pp.215-269
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    • 2018
  • Orders and types of entire functions have been actively investigated by many authors. In this paper, we investigate some basic properties in connection with sum and product of relative (p, q, t) L-th order, relative (p, q, t) L-th type, and relative (p, q, t) L-th weak type of entire functions with respect to another entire function where $p,q{\in}{\mathbb{N}}$ and $t{\in}{\mathbb{N}}{\cup}\{-1,0\}$.

Simplified Machine Diagnosis Techniques by Impact Vibration using n-th Moment of Absolute Deterioration Factor

  • Takeyasu, Kazuhiro;Amemiya, Takashi;Tanaka, Jumpei;Masuda, Shiro
    • Industrial Engineering and Management Systems
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    • v.4 no.1
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    • pp.68-74
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    • 2005
  • Among many dimensional and dimensionless amplitude parameters, kurtosis (4-th normalized moment of probability density function) is generally regarded as a sensitive good parameter for machine diagnosis. However, higher order moment may be supposed to be much more sensitive. Bicoherence is an absolute deterioration factor whose range is 1 to 0. The theoretical value of n-th moment divided by n-th moment calculated by measured data would behave in the same way. We propose a simplified calculation method for an absolute index of n-th moment and name this as simplified absolute index of n-th moment. Some favorable results are obtained.

Construction Algorithm of Grassmann Space Parameters in Linear Output Feedback Systems

  • Kim Su-Woon
    • International Journal of Control, Automation, and Systems
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    • v.3 no.3
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    • pp.430-443
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    • 2005
  • A general construction algorithm of the Grassmann space parameters in linear systems - so-called, the Plucker matrix, 'L' in m-input, p-output, n-th order static output feedback systems and the Plucker matrix, $'L^{aug}'$ in augmented (m+d)-input, (p+d)-output, (n+d)-th order static output feedback systems - is presented for numerical checking of necessary conditions of complete static and complete minimum d-th order dynamic output feedback pole-assignments, respectively, and also for discernment of deterministic computation condition of their pole-assignable real solutions. Through the construction of L, it is shown that certain generically pole-assignable strictly proper mp > n system is actually none pole-assignable over any (real and complex) output feedbacks, by intrinsic rank deficiency of some submatrix of L. And it is also concretely illustrated that this none pole-assignable mp > n system by static output feedback can be arbitrary pole-assignable system via minimum d-th order dynamic output feedback, which is constructed by deterministic computation under full­rank of some submatrix of $L^{aug}$.

Substantial Study on Constituent Elements of the Foot Taeyang Meridian Muscle in the Human Truncus

  • Park, Kyoung-Sik
    • The Journal of Korean Medicine
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    • v.30 no.3
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    • pp.15-27
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    • 2009
  • Objective : This study was carried to identify the anatomical component of BMM (Foot Taeyang Meridian Muscle in the human truncus), and further to help the accurate application to real acupunctuation. Methods: The human truncus was stripped off in order to demonstrate muscles, nerves and other components, and to display the internal structure of the BMM, dividing into outer, middle, and inner parts. Results: The BMM in the human truncus is composed of muscles, nerves, ligaments etc. The internal composition of the BMM in the human truncus is as follows: 1. Muscle A. Outer layer: medial palpebral ligament, orbicularis oculi, frontalis, galea aponeurotica, occipitalis, trapezius, latissimus dorsi, thoracolumbar fascia, gluteus maximus. B. Middle layer: frontalis, semispinalis capitis, rhomboideus minor, serratus posterior superior, splenius cervicis, rhomboideus major, latissimus dorsi, serratus posterior inferior, levator ani. C. Inner layer: medial rectus, superior oblique, rectus capitis, spinalis, rotatores thoracis, longissimus, longissimus muscle tendon, longissimus muscle tendon, multifidus, rotatores lumbaris, lateral intertransversi, iliolumbaris, posterior sacroiliac ligament, iliocostalis, sacrotuberous ligament, sacrospinous ligament. 2. Nerve A. Outer layer: infratrochlear nerve, supraorbital n., supratrochlear n., temporal branch of facial n., auriculotemporal n., branch of greater occipital n., 3rd occipital n., dorsal ramus of 1st, 2nd, 3rd, 4th, 5th, 6th, 7th, 8th, 9th, 10th, 11th, 12th thoracic n., dorsal ramus of 1st, 2nd, 3rd, 4th, 5th lumbar n., dorsal ramus of 1st, 2nd, 3rd, 4th, 5th sacral n. B. Middle layer: accessory nerve, anicoccygeal n. C. Inner layer: branch of ophthalmic nerve, trochlear n., greater occipital n., coccygeal n., Conclusions : This study shows that BMM is composed of the muscle and the related nerves and there are some differences from already established studies from the viewpoint of constituent elements of BMM at the truncus, and also in aspect of substantial assay method. In human anatomy, there are some conceptional differences between terms (that is, nerves which control muscles of BMM and those which pass near by BMM).

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ON SOME SPECIAL CONDITIONS OF n-TH ORDER NON-OSCILLATORY NONLINEAR SYSTEMS

  • Alam, M.-Shamsul;Hossain, M.B.
    • Communications of the Korean Mathematical Society
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    • v.18 no.4
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    • pp.755-765
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    • 2003
  • Krylov-Bogoliubov-Mitropolskii method has been extended to obtain asymptotic solution of n-th order nonlinear differential system characterized by certain non-oscillatory processes. The damping force is considered in such a manner that one of the characteristic roots of the linear system becomes small and others are in integral multiple. The method is illustrated by an example. The solutions for different initial conditions show a good agreement with those obtained by numerical method.