• Title/Summary/Keyword: second differential

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Near-optimum trajectory planning for robot manipulators

  • Yamamoto, Motoji;Marushima, Shinya;Mohri, Akira
    • 제어로봇시스템학회:학술대회논문집
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    • 1989.10a
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    • pp.621-626
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    • 1989
  • An efficient algorithm for planning near-optimum trajectory of manipulators is proposed. The algorithm is divided into two stages. The first one is the optimization of time trajectory with given spatial path. And the second one is the optimization of the spatial path itself. To consider the second problem, the manipulator dynamics is represented using the path parameter "s", then a differential equation corresponding to the dynamics is solved as two point boundary value problem. In this procedure, the gradient method is used to calculate improved input torques.t torques.

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Subjective Timbre Space of 45 Modified Violin Tones

  • Ahn, Chul-Yong;Pang, Hee-Suk;Sung, Koeng-Mo
    • The Journal of the Acoustical Society of Korea
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    • v.19 no.1E
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    • pp.38-42
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    • 2000
  • In this paper we studied the reduced subjective timbre space of time-varying tones as well as steady state tones. 45 modified test tones were constructed from the original violin tone in consideration of 4 physical factors: spectrum envelope, inharmonicity, time-varying spectrum and time reversal. The semantic differential (SD) method was used in the listening test. According to the factor analysis, the adjectives can be factorized into 4 groups. The first factor is characterized by the adjectives, 'free', 'broad', 'deep', 'rich', 'strong' and 'reverberant', the second by 'tenor', 'clear', 'bright', 'light' and 'sharp', the third by 'easy', 'smooth', and 'solid', the fourth by 'warm' and 'full'. The first factor, 'richness', seems to be dependent upon the time-varying characteristic of a tone. The second factor, 'sharpness', is shown to play an important role in a time-varying tone as well as in a steady state tone.

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ON OPTIMALITY OF GENERALIZED OPTIMIZATION PROBLEMS ASSOCIATED WITH OPERATOR AND EXISTENCE OF (Tη; ξθ)-INVEX FUNCTIONS

  • Das, Prasanta Kumar
    • East Asian mathematical journal
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    • v.33 no.1
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    • pp.83-102
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    • 2017
  • The main purpose of this paper is to introduce a pair new class of primal and dual problem associated with an operator. We prove the sufficient optimality theorem, weak duality theorem and strong duality theorem for these problems. The equivalence between the generalized optimization problems and the generalized variational inequality problems is studied in ordered topological vector space modeled in Hilbert spaces. We introduce the concept of partial differential associated (PDA)-operator, PDA-vector function and PDA-antisymmetric function to show the existence of a new class of function called, ($T_{\eta};{\xi}_{\theta}$)-invex functions. We discuss first and second kind of ($T_{\eta};{\xi}_{\theta}$)-invex functions and establish their existence theorems in ordered topological vector spaces.

HYBRID DIFFERENCE SCHEMES FOR A SYSTEM OF SINGULARLY PERTURBED CONVECTION-DIFFUSION EQUATIONS

  • Priyadharshini, R.Mythili;Ramanujam, N.;Tamilselvan, A.
    • Journal of applied mathematics & informatics
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    • v.27 no.5_6
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    • pp.1001-1015
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    • 2009
  • In this paper, two hybrid difference schemes on the Shishkin mesh are constructed for solving a weakly coupled system of two singularly perturbed convection-diffusion second order ordinary differential equations with a small parameter multiplying the highest derivative. We prove that the schemes are almost second order convergence in the supremum norm independent of the diffusion parameter. Error bounds for the numerical solution and its derivative are established. Numerical results are provided to illustrate the theoretical results.

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COMPARISON OF THE TREATMENTS OF TURBULENT HEAT FLUX FOR NATURAL CONVECTION WITH THE ELLIPTIC BLENDING SECOND MOMENT CLOSURE (Ellipting Blending Model을 사용하여 자연대류 해석 시 난류 열유속 처리법 비교)

  • Choi, Seok-Ki;Kim, Seong-O
    • 한국전산유체공학회:학술대회논문집
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    • 2007.04a
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    • pp.171-176
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    • 2007
  • A comparative study on the treatment of the turbulent heat flux with the elliptic mlending second moment closure for a natural convection is performed. Four cases of different treating the turbulent heat flux are considered. Those are the generalized gradient diffusion hypothesis (GGDH) the algebraic flux model (AFM) and the differential heat flux model (DFM). These models are implemented in the computer code specially designed for evaluation of turbulent models. Calculations are performed for a turbulent natural convection in the 1:5 rectangular cavity and the calculated results are compared with the experimental data. The results show that three models produce nearly the same accuracy of solutions.

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Design and Fabrication of Second-Order Multibit Sigma-Delta Modulator (2차 멀티비트 Sigma-Delta 변조기 설계 및 제작)

  • 김선홍;최석우;조성익;김동용
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.53 no.9
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    • pp.650-656
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    • 2004
  • This paper presents block and timing diagrams of the DWA(data weighted averaging) to optimize a feedback time delay of the sigma-delta modulator. Through the Matlab modeling, the optimized coefficients of the integrators are obtained to design the modulator. And then the fully differential SC integrators, feedback DAC, 9-level quantizer, and DWA are designed by considering the nonideal characteristics of the modulator. The designed second-order multibit modulator is fabricated in a 0.35$\mu\textrm{m}$ CMOS process. The designed modulator achieves 73dB signal-to-noise ratio and 72dB dynamic range at 1.2Vp-p 585kHz input singal and 52.8MHz sampling frequency.

AN ASYMPTOTIC INITIAL VALUE METHOD FOR SECOND ORDER SINGULAR PERTURBATION PROBLEMS OF CONVECTION-DIFFUSION TYPE WITH A DISCONTINUOUS SOURCE TERM

  • Valanarasu, T.;Ramanujam, N.
    • Journal of applied mathematics & informatics
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    • v.23 no.1_2
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    • pp.141-152
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    • 2007
  • In this paper a numerical method is presented to solve singularly perturbed two points boundary value problems for second order ordinary differential equations consisting a discontinuous source term. First, in this method, an asymptotic expansion approximation of the solution of the boundary value problem is constructed using the basic ideas of a well known perturbation method WKB. Then some initial value problems and terminal value problems are constructed such that their solutions are the terms of this asymptotic expansion. These initial value problems are happened to be singularly perturbed problems and therefore fitted mesh method (Shishkin mesh) are used to solve these problems. Necessary error estimates are derived and examples provided to illustrate the method.

OSCILLATION OF SECOND-ORDER FUNCTIONAL DYNAMIC EQUATIONS OF EMDEN-FOWLER-TYPE ON TIME SCALES

  • Saker, S.H.
    • Journal of applied mathematics & informatics
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    • v.28 no.5_6
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    • pp.1285-1304
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    • 2010
  • The purpose of this paper is to establish some sufficient conditions for oscillation of solutions of the second-order functional dynamic equation of Emden-Fowler type $\[a(t)x^{\Delta}(t)\]^{\Delta}+p(t)|x^{\gamma}(\tau(t))|\|x^{\Delta}(t)\|^{1-\gamma}$ $sgnx(\tau(t))=0$, $t\;{\geq}\;t_0$, on a time scale $\mathbb{T}$, where ${\gamma}\;{\in}\;(0,\;1]$, a, p and $\tau$ are positive rd-continuous functions defined on $\mathbb{T}$, and $lim_{t{\rightarrow}{\infty}}\;{\tau}(t)\;=\;\infty$. Our results include some previously obtained results for differential equations when $\mathbb{T}=\mathbb{R}$. When $\mathbb{T}=\mathbb{N}$ and $\mathbb{T}=q^{\mathbb{N}_0}=\{q^t\;:\;t\;{\in}\;\mathbb{N}_0\}$ where q > 1, the results are essentially new for difference and q-difference equations and can be applied on different types of time scales. Some examples are worked out to demonstrate the main results.

A Resistance Deviation-To-Time Interval Converter Based On Dual-Slope Integration

  • Shang, Zhi-Heng;Chung, Won-Sup;Son, Sang-Hee
    • Journal of IKEEE
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    • v.19 no.4
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    • pp.479-485
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    • 2015
  • A resistance deviation-to-time interval converter based on dual-slope integration using second generation current conveyors (CCIIs) is designed for connecting resistive bridge sensors with a digital system. It consists of a differential integrator using CCIIs, a voltage comparator, and a digital control logic for controlling four analog switches. Experimental results exhibit that a conversion sensitivity amounts to $15.56{\mu}s/{\Omega}$ over the resistance deviation range of $0-200{\Omega}$ and its linearity error is less than ${\pm}0.02%$. Its temperature stability is less than $220ppm/^{\circ}C$ in the temperature range of $-25-85^{\circ}C$. Power dissipation of the converter is 60.2 mW.

1.9-GHz CMOS Power Amplifier using Adaptive Biasing Technique at AC Ground

  • Kang, Inseong;Yoo, Jinho;Park, Changkun
    • Journal of information and communication convergence engineering
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    • v.17 no.4
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    • pp.285-289
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    • 2019
  • A 1.9-GHz linear CMOS power amplifier is presented. An adaptive bias circuit (ABC) that utilizes an AC ground to detect the power level of the input signal is proposed to enhance the linearity and efficiency of the power amplifier. The ABC utilizes the second harmonic component as the input to mitigate the distortion of the fundamental signal. The input power level of the ABC was detected at the AC ground located at the VDD node of the power amplifier. The output of the ABC was fed into the inputs of the power stage. The input signal distortion was mitigated by detecting the input power level at the AC ground. The power amplifier was designed using a 180 nm RFCMOS process to evaluate the feasibility of the application of the proposed ABC in the power amplifier. The measured output power and power-added efficiency were improved by 1.7 dB and 2.9%, respectively.