• 제목/요약/키워드: Bounded

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The Busy Period of the M/M/1 Queue with Bounded Workload

  • 배종호
    • 한국통계학회:학술대회논문집
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    • 한국통계학회 2002년도 추계 학술발표회 논문집
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    • pp.273-277
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    • 2002
  • In this paper, with martingale argument we derive the explicit formula for the Laplace transform of the busy period of M/M/1 queue with bounded workload which is also called finite dam. Much simpler derivation than appeared in former literature provided.

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CONVERGENCE OF C-SEMIGROUPS

  • Lee, Young S.
    • Korean Journal of Mathematics
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    • 제6권1호
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    • pp.9-15
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    • 1998
  • In this paper, we show convergence and approximation theorem for C-semigroups. And we study the problem of approximation of an exponentially bounded C-semigroup on a Banach space X by a sequence of exponentially bounded C-semigroup on $X_n$.

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패러미터와 잡음전력이 불확실한 시스템에 대한 LQG 제어기 설계 (LQG design under plant perturbation and uncertain noise covariance)

  • 오원근;서병설
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1991년도 한국자동제어학술회의논문집(국내학술편); KOEX, Seoul; 22-24 Oct. 1991
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    • pp.203-207
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    • 1991
  • In this paper, a linear stocastic dynamic system with norm - bounded plant perpurbations and norm - bounded noise covariarice is studied. Instead of Bellman-Gronwall inequality used in previous study, Lyapunov stability theorem is used to derive stability condition. The new condition is of more compact form than the previous result.

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SOME BOUNDED OPERATORS IN SPACES OF TYPE $W^{\Phi}$

  • Park, Jae-Keun;Cho, Seong-Hoon
    • Journal of applied mathematics & informatics
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    • 제26권5_6호
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    • pp.901-910
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    • 2008
  • For some generalized N-function ${\Phi}$, some Holder type inequalities and bounded operators on spaces of type $W_M^{\Omega,\Phi}$ generalizing the $W^p$-spaces due to Pathak and Upadhyay are obtained.

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