• Title/Summary/Keyword: impulsive systems

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A CONVERSE THEOREM ON h-STABILITY VIA IMPULSIVE VARIATIONAL SYSTEMS

  • Choi, Sung Kyu;Koo, Namjip
    • Journal of the Korean Mathematical Society
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    • v.53 no.5
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    • pp.1115-1131
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    • 2016
  • In this paper we develop useful relations which estimate the difference between the solutions of nonlinear impulsive differential systems with different initial values. Then we obtain the converse h-stability theorem of Massera's type for the nonlinear impulsive systems by employing the $t_{\infty}$-similarity of the associated impulsive variational systems and relations.

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.

Almost Periodic Processes in Ecological Systems with Impulsive Perturbations

  • Stamov, Gani Trendafilov
    • Kyungpook Mathematical Journal
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    • v.49 no.2
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    • pp.299-312
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    • 2009
  • In the present paper we investigate the existence of almost periodic processes of ecological systems which are presented with nonautonomous N-dimensional impulsive Lotka Volterra competitive systems with dispersions and fixed moments of impulsive perturbations. By using the techniques of piecewise continuous Lyapunov's functions new sufficient conditions for the global exponential stability of the unique almost periodic solutions of these systems are given.

Study on Efficient Impulsive Noise Mitigation for Power Line Communication

  • Seo, Sung-Il
    • International journal of advanced smart convergence
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    • v.8 no.2
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    • pp.199-203
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    • 2019
  • In this paper, we propose the efficient impulsive noise mitigation scheme for power line communication (PLC) systems in smart grid applications. The proposed scheme estimates the channel impulsive noise information of receiver by applying machine learning. Then, the estimated impulsive noise is updated in data base. In the modulator, the impulsive noise which reduces the PLC performance is effectively mitigated through proposed technique. As an impulsive noise model, Middleton Class A interference model was employed. The performance is evaluated in terms of bit error rate (BER). From the simulation results, it is confirmed that the proposed scheme has better BER performance compared to the conventional model. As a result, the proposed noise mitigation improves the signal quality of PLC systems by effectively removing the channel noise. The results of the paper can be applied to PLC systems for smart grid.

STABILITY PROPERTIES IN IMPULSIVE DIFFERENTIAL SYSTEMS OF NON-INTEGER ORDER

  • Kang, Bowon;Koo, Namjip
    • Journal of the Korean Mathematical Society
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    • v.56 no.1
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    • pp.127-147
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    • 2019
  • In this paper we establish some new explicit solutions for impulsive linear fractional differential equations with impulses at fixed times, which provides a handy tool in deriving singular integral-sum inequalities and an impulsive fractional comparison principle. Thus we study the Mittag-Leffler stability of impulsive differential equations with the Caputo fractional derivative by using the impulsive fractional comparison principle and piecewise continuous functions of Lyapunov's method. Also, we give some examples to illustrate our results.

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.

PRACTICAL ${\phi}_0$-STABILITY FOR IMPULSIVE DYNAMIC SYSTEMS WITH TIME SCALES AND INITIAL TIME DIFFERENCE

  • Chen, Weisong;Han, Zhenlai;Sun, Shurong;Li, Tongxing
    • Journal of applied mathematics & informatics
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    • v.29 no.3_4
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    • pp.891-900
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    • 2011
  • In this paper, we study the impulsive dynamic systems on time scales with initial time difference. By employing cone-valued Lyapunov functions, some comparison theorems and several practical ${\phi}_0$-stability criteria for impulsive system on time scales with initial time difference are obtained.

A Study on Customers' Impulsive Buying in Social Commerce Environment: The Role of Flow and Emotion (소셜커머스 환경에서 소비자들의 충동구매에 관한 연구: 플로우와 감정의 역할)

  • Lee, Bo-Kyoung;Kim, Byoung-Soo
    • The Journal of Information Systems
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    • v.21 no.3
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    • pp.117-136
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    • 2012
  • Given to the prevalence of social commerce such as Groupon, Ticketmonster, and Coupang, it has become critical to understand customer purchasing behavior in social commerce environments. When consumers make purchasing decisions in social commerce, they often act impulsively. This is because social commerce is a deal-of-the-day website that features discounted gift certificates usable at local companies. However, the vast majority of social commerce research has viewed consumer decision-making as a rational process. This study develops a theoretical framework to investigate key drivers of customer's impulsive purchasing in social commerce. This study identifies flow, positive emotion, negative emotion, social commerce attractiveness, and discounted price as the key antecedents of impulsive purchasing. Data collected from 164 users who had prior purchasing experiences with social commerce were empirically tested against the research model using partial least squares analysis. The analysis results indicate that flow plays an important role in facilitating customers' impulsive purchasing in social commerce environments. Moreover, the findings show the exact roles of positive emotion, negative emotion, social commerce attractiveness, and discounted price on consumer's impulsive purchasing.

Performance Analysis of Multi-Carrier CDMA Systems under Indoor Wireless Environment with Impulsive Noise (임펄스성 잡음이 존재하는 실내 무선 환경에서 Multi-Carrier CDMA 시스템의 성능 분석)

  • Lee, Young-Choon;Park, Ki-Sik;Cho, Sung-Joon
    • Journal of Advanced Navigation Technology
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    • v.7 no.1
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    • pp.30-37
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    • 2003
  • In this paper, we have analyzed the BER (Bit Error Rate) performance of MC-CDMA systems under indoor wireless environment with class A impulsive noise suggested by Middleton. For the performance evaluation, we considered from strong to weak impulsive noise characteristics. And we have evaluated the degree of performance improvement by using turbo code as a compensation technique to impulsive noise. From the result of analysis, it is found powerful performance improvement scheme must be adopted in the system under impulsive noise environment, and when turbo code scheme is adopted, system BER performance is improved by the $10^{-2}$. As the impulsive noise characteristics approaches AWGN characteristics, the degree of performance improvement by adopting turbo code become larger.

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