• Title/Summary/Keyword: impulsive

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PRACTICAL OBSERVER FOR IMPULSIVE SYSTEMS

  • Ellouze, Imen
    • Journal of the Korean Mathematical Society
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    • v.51 no.1
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    • pp.99-111
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    • 2014
  • In this paper, we deal with the problem of practical observer design and the practical stabilization for a class of perturbed impulsive systems. We show that, under the classical conditions of uniform complete controllability and uniform complete observability of the nominal system without impulsive effects, it is possible to design an observer controller for a class of perturbed linear impulsive system when the origin is not an equilibrium point.

ON STABILITY OF NONLINEAR INTEGRO-DIFFERENTIAL SYSTEMS WITH IMPULSIVE EFFECT

  • Kang, Bowon;Koo, Namjip;Lee, Hyunhee
    • Communications of the Korean Mathematical Society
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    • v.35 no.3
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    • pp.879-890
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    • 2020
  • In this paper we study the stability properties of solutions of nonlinear impulsive integro-differential systems by using an integral inequality under the stability of the corresponding variational impulsive integro-differential systems. Also, we give examples to illustrate our results.

A NOTE ON LINEAR IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS

  • Choi, Sung Kyu;Koo, Namjip
    • Journal of the Chungcheong Mathematical Society
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    • v.28 no.4
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    • pp.583-590
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    • 2015
  • This paper deals with linear impulsive fractional differential equations involving the Caputo derivative with non-integer order q. We provide exact solutions of linear impulsive fractional differential equations with constant coefficient by mean of the Mittag-Leffler functions. Then we apply the exact solutions to improve impulsive integral inequalities with singularity.

UNIQUENESS OF SOLUTION FOR IMPULSIVE FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATION

  • Singhal, Sandeep;Uduman, Pattani Samsudeen Sehik
    • Communications of the Korean Mathematical Society
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    • v.33 no.1
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    • pp.171-177
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    • 2018
  • In this research paper considering a differential equation with impulsive effect and dependent delay and applied Banach fixed point theorem using the impulsive condition to the impulsive fractional functional differential equation of an order ${\alpha}{\in}(1,2)$ to get an uniqueness solution. At last, theorem is verified by using a numerical example to illustrate the uniqueness solution.

A NOTE ON EXPLICIT SOLUTIONS OF CERTAIN IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS

  • Koo, Namjip
    • Journal of the Chungcheong Mathematical Society
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    • v.30 no.1
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    • pp.159-164
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    • 2017
  • This paper deals with linear impulsive differential equations involving the Caputo fractional derivative. We provide exact solutions of nonhomogeneous linear impulsive fractional differential equations with constant coefficients by means of the Mittag-Leffler functions.

Users' Impulsive Bidding Behavior in C2C Auction Platform (C2C 옥션 플랫폼 사용자의 충동적 입찰행동에 관한 연구)

  • Park, Sang-Cheol;Kim, Jong-Uk
    • The Journal of Information Systems
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    • v.25 no.4
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    • pp.63-85
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    • 2016
  • Purpose While the popularity of C2C auction platforms such as eBay is gradually decreased, this domain is still undermined to explain online bidding behaviors. Online bidders sometimes engage in impulsive bidding due to some of the online auction characteristics. Therefore, this study develops and tests a model of the impulsive bidding exhibited by online bidders in C2C auction platforms. Based on S-O-R framework, our model posits that both perceived time-pressure and competition intensity affect cognitive absorption which ultimately influences the impulsive bidding. Design/methodology/approach This study collected survey data from 214 C2C auction participants, who have prior experience on impulsive bidding and tested both measurement model and structural model by using CB-SEM (covariate-based structural equation modelling) technique. In this study, by using AMOS 20.0, we tested the measurement model for its overall fit, item reliability, and validity and further conducted the structural model to test our proposed hypotheses. Findings Based on our results, we found that perceived tim-pressure and competition intensity were positively related to cognitive absorption. We also found that the cognitive absorption was positively associated with impulsive bidding behavior. In this study, by developing our research model in S-O-R framework, we provide an alternative theoretical mechanism to describe online impulsive bidding behavior.

The Effect of Partial Closure of the Duct Exit on the Impulsive Wave Impinging upon a Flat Plate (평판에 충돌하는 펄스파에 미치는 관출구 부분폐쇄의 영향)

  • Shin, Hyun-Dong;Lee, Young-Ki;Kim, Heuy-Dong;Setoguchi, Toshiaki
    • Proceedings of the KSME Conference
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    • 2004.04a
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    • pp.1595-1600
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    • 2004
  • When a shock wave arrives at a duct, an impulsive wave is discharged from the duct exit and causes serious noise and vibration problems. In the current study, the characteristics of the impulsive wave discharged from a partial closed duct exit is numerically investigated using a CFD method. The Yee-Roe- Davis's total variation diminishing(TVD) scheme is used to solve the axisymmetric, unsteady, compressible Euler equations. With several partial closed duct exits, the Mach number of the incident shock wave $M_s$ and the distance L/D between the duct exit and a flat plate are varied in the range of $M_s$ = 1.01 ${\sim}$ 1.50 and L/D = 1.0 ${\sim}$ 4.0, respectively. The results obtained show that the magnitude of the impulsive wave impinging upon the flat plate strongly depends upon $M_s$, L/D and the partial closure of duct exit. The impulsive wave on the flat plate can be considerably alleviated by the partial closure of duct exit and, thus, the present method can be a passive control for the impulsive wave.

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Robust Approach for Channel Estimation in Power Line Communication

  • Huang, Jiyan;Wang, Peng;Wan, Qun
    • Journal of Communications and Networks
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    • v.14 no.3
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    • pp.237-242
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    • 2012
  • One of the major problems for accurate channel estimation in power line communication systems is impulsive noise. Traditional channel estimation algorithms are based on the assumption of Gaussian noise, or the need to locate the positions of impulsive noise. The algorithms may lose optimality when impulsive noise exists in the channel, or if the location estimation of impulsive noise is inaccurate. In the present paper, an effective channel estimation algorithm based on a robust cost function is proposed to mitigate impulsive noise. The proposed method can provide a closed-form solution, and the application of robust estimation theory enables the proposed method to be free from localization of impulsive noise and thus can guarantee that the proposed method has better performance. Simulations verified the proposed algorithm.