• Title/Summary/Keyword: asymptotic function

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Vibration Control of an Axially Moving Belt by a Nonlinear Boundary Control

  • Park, Ji-Yun;Hong, Keum-Shik
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.38.1-38
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    • 2001
  • In this paper, the vibration suppression problem of an axially moving power transmission belt is investigated. The equations of motion of the moving belt is first derived by using Hamilton´s principle for systems with changing mass. The total mechanical energy of the belt system is considered as a Lyapunov function candidate. Using the Lyapunov second method, a nonlinear boundary control law that guarantees the uniform asymptotic stability is derived. The control performance with the proposed control law is simulated. It is shown that a boundary control can still achieve the uniform stabilization for belt systems.

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Design of an Adaptive Fuzzy Backstepping Controller for a Brush DC Motor Turning a Robotic Load (로봇부하 구동용 브러시 DC 모터의 적응 퍼지 백 스테핑 제어기 설계)

  • Kim, Young-Tae
    • Journal of the Korean Society for Precision Engineering
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    • v.23 no.9 s.186
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    • pp.92-101
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    • 2006
  • In this paper a adaptive backstepping control scheme is proposed for control of a do motor driving a one-link manipulator. Fuzzy logic systems are used to approximate the unknown nonlinear function including the parametric uncertainty and disturbance throughout the entire electromechanical system. A compensation controller is also proposed to estimate the bound of approximation error. Thus the asymptotic stability of the closed-loop control system can be obtained. Numerical simulations are included to show the effectiveness of the proposed controller.

Analysis of the radiation characteristics from a slot antenna in a plane conductor covered with a moving isotropic plasma layer (운동중인 등방성 플라즈마 층으로 덮인 평면도체 슬랏 안테나의 복사특성 해석)

  • 김남태
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.33A no.11
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    • pp.44-51
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    • 1996
  • The radiation characteristics of a slot antenna in a plane conductor covered with a miving isotropic plasma layer are analyzed. The radiation null which causes distortion in radiation pattern is explainted by the zero of integrand in an asymptotic integral for radiation fields as a function of the plasma parameter and the plasma velocity. Numerical resutls for a radiation null calculated from various plasma and velocity parameters correspond to the results of two-dimensional problem.

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Non-fragile guaranteed cost control of delayed descriptor systems (시간지연 특이시스템의 비약성 보장비용 제어)

  • Kim, Jong-Hae
    • Proceedings of the KIEE Conference
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    • 2006.04a
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    • pp.246-248
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    • 2006
  • This paper is concerned with non-fragile guaranteed cost state feedback controller design algorithm for descriptor systems with time-varying delay and static state feedback controller with multiplicative uncertainty. The considered uncertainties are norm-bounded and time delay is time-varying. Under the condition of controller gain variations, conditions for the existence of controller satisfying asymptotic stability and non-fragility and controller design method are derived via LMI approach. Moreover, the measure of non-fragility and the upper bound to minimize guaranteed cost function are given.

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ESTIMATING THE DOMAIN OF ATTRACTION OF HIV-1 SYSTEM BASED ON MOMENT METHOD

  • LI, CHUNJI;YAO, HAN
    • Journal of applied mathematics & informatics
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    • v.36 no.5_6
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    • pp.349-358
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    • 2018
  • In this article, we discuss the domain of attraction of HIV-1 system by using the moment theory. First, the asymptotic stabilities of the equilibrium point of the system are given, and then we introduce how to use the moment method to estimate domain of attraction. Finally, one simulation shows the effectiveness of moment method.

CENTRAL LIMIT THEOREMS FOR BELLMAN-HARRIS PROCESSES

  • Kang, Hye-Jeong
    • Journal of the Korean Mathematical Society
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    • v.36 no.5
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    • pp.923-943
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    • 1999
  • In this paper we consider functionals of the empirical age distribution of supercritical Bellman-Harris processes. Let f : R+ longrightarrow R be a measurable function that integrates to zero with respect to the stable age distribution in a supercritical Bellman-Harris process with no extinction. We present sufficient conditions for the asymptotic normality of the mean of f with respect to the empirical age distribution at time t.

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On the Goodness-of-fit Test in Regression Using the Difference Between Nonparametric and Parametric Fits

  • Hong, Chang-Kon;Joo, Jae-Seon
    • Communications for Statistical Applications and Methods
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    • v.8 no.1
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    • pp.1-14
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    • 2001
  • This paper discusses choosing the weight function of the Hardle and Mammen statistic in nonparametric goodness-of-fit test for regression curve. For this purpose, we modify the Hardle and Mammen statistic and derive its asymptotic distribution. Some results on the test statistic from the wild bootstrapped sample are also obtained. Through Monte Carlo experiment, we check the validity of these results. Finally, we study the powers of the test and compare with those of the Hardle and Mammen test through the simulation.

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A Family of Tests for Trend Change in Mean Residual Life with Known Change Point

  • Na, Myung-Hwan;Kim, Jae-Joo
    • Communications for Statistical Applications and Methods
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    • v.7 no.3
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    • pp.789-798
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    • 2000
  • The mean residual function is the expected remaining life of an item at age x. The problem of trend change in the mean residual life is great interest in the reliability and survival analysis. In this paper, we develop a family of test statistics for testing whether or not the mean residual life changes its trend. The asymptotic normality of the test statistics is established. Monte Carlo simulations are conducted to study the performance of our test statistics.

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Nonparametric Estimators for Percentile Regression Functions

  • Jee, Eun-Sook
    • The Mathematical Education
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    • v.30 no.1
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    • pp.47-50
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    • 1991
  • We consider the .regression model H = h(x) + E, where h is an unknown smooth regression function ard E is the random error with unknown distribution F. in this context we present and eamine the asymptotic behavior of some nonparametric estimators for the percentile functions ζ$\_$p/(x)+ζ$\_$p/, where 0 < p < 1 and ζ$\_$p/ = inf {x : F{x} $\geq$ p}

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Nonquadratic Stability Condition of Continuous Fuzzy Systems

  • Kim, Eun-Tai;Park, Min-Kee
    • Journal of the Korean Institute of Intelligent Systems
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    • v.13 no.5
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    • pp.596-599
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    • 2003
  • In this paper, a new asymptotic stability condition of continuous fuzzy system is proposed. The new stability condition considers the nonquadratic stability by using the P-matrix measure. Later the relationship of the suggested stability condition and the well-known stability condition is discussed and it is shown in a rigorous manner that the proposed criterion includes the conventional conditions.