• 제목/요약/키워드: sufficient condition

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이산 선형 비최소위상 시스템을 위한 반복 학습 제어의 수렴조건에 대한 연구 (A Study on the Convergence Condition of ILC for Linear Discrete Time Nonminimum Phase Systems)

  • 배성한;안현식;정구민
    • 전기학회논문지
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    • 제57권1호
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    • pp.117-120
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    • 2008
  • This paper investigates the convergence condition of ADILC(iterative learning control with advanced output data) for nonminimum phase systems. ADILC has simple learning structure including both minimum phase and nonminimum phase systems. However, for nonminimum phase systems, the overall time horizon must be considered in input update law. This makes the dimension of convergence condition matrix large. In this paper, a new sufficient condition is proposed to satisfy the convergence condition. Also, it has been shown that this sufficient condition can be satisfied although it is not full impulse response.

다중 안테나를 사용하는 단방향 기지국 협력 역 듀플렉스 셀룰러 네트워크의 간섭 정렬 타당성 (Feasibility of Interference Alignment for Reverse Duplex in MIMO Cellular Networks with One-side Base Cooperation)

  • 김기연;전상운;양장훈;김동구
    • 한국통신학회논문지
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    • 제40권2호
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    • pp.273-284
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    • 2015
  • 본 논문에서는 상향링크와 하향링크가 공존하는 역 듀플렉스 셀룰러 네트워크 상황에서 단방향 기지국 협력을 통한 단사 간섭 정렬 타당성에 대한 연구를 하였다. 일반적인 안테나 개수와 사용자수에 따른 단사 간섭 정렬의 필요조건과 충분조건을 제시하였고, 이어서 특정 조건을 만족하는 네트워크에서 간략화 된 충분조건을 제시하였다. 특히 대칭 네트워크 상황에서는 단사 간섭 정렬의 필요충분조건을 제시하였고, 각 셀 당 두 명의 사용자가 존재하는 대칭 네트워크 상황에서는 닫힌 형태의 필요충분조건을 규명하였다. 제안한 단방향 기지국협력을 통해 합 자유도를 크게 증가시킬 수 있으며, 모의실험을 통해 상용 신호 대 잡음비 영역에서 합 전송률을 획기적으로 개선 할 수 있음을 확인 하였다.

이산 선형 시스템에 대한 반복 학습 제어의 수렴성에 대한 연구 (On the Convergence of ILC for Linear Discrete Time Nonminimum Phase Systems)

  • 정구민;안현식
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2006년도 심포지엄 논문집 정보 및 제어부문
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    • pp.225-227
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    • 2006
  • This note investigates the convergence condition of ADILC (iterative learning control with advanced output data) for nonminimum phase systems. ADILC has simple learning structure including both minimum phase and nonminimum phase systems. However, for nonminimum phase systems, the overall time horizon must be considered in input update law. This makes the dimension of convergence condition matrix large. In this paper, a new sufficient condition is proposed to satisfy the convergence condition. Also, it has been shown that this sufficient condition can be satisfied although it is not full impulse response.

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삼중 사용자 비직교 다중 접속에서 IIS/SIC에 대한 CIS/non-SIC의 확대 전송률 용적의 충분조건의 수치 해석 (Numerical Analysis of Sufficient Condition on Larger Rate Volume of CIS/non-SIC over IIS/SIC in 3-User NOMA)

  • 정규혁
    • 융합정보논문지
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    • 제11권8호
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    • pp.29-35
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    • 2021
  • 삼중 사용자 CIS/non-SIC 비직교 다중 접속의 IIS/SIC 비직교 다중 접속에 대한 확대된 전송률 용적의 충분조건에 대한 연구가 미비하여, 본 논문은 그러한 충분조건을 분석한다. 먼저, 삼중 상관 정보원/SIC 비직교 다중 접속의 전송률 용적이 삼중 독립 정보원/SIC 비직교 다중 접속의 전송률 용적의 일부와 일치하는 것을 입증한다. 다음, 우세 전송률 영역을 확인함으로써, 삼중 상관 정보원/non-SIC 비직교 다중 접속이 상중 독립 정보원/SIC 비직교 다중 접속에 대한 확대된 전송률 용적의 충분조건을 계산한다. 또한, 분석된 조건을 기반으로, 삼중 상관 정보원/non-SIC 비직교 다중 접속의 전송률 용적이 삼중 독립 정보원/SIC 비직교 다중 접속의 전송률 용적보다 확대될 수 있음을 보여준다.

NECESSARY CONDITION AND SUFFICIENT CONDITION FOR THE WAVELET FRAMES IN $L^2(R^n)$

  • Wu, Guochang;Zhang, Rui
    • Journal of applied mathematics & informatics
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    • 제28권5_6호
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    • pp.1117-1130
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    • 2010
  • The main goal for this paper is consider the necessary conditions and sufficient conditions of wavelet frames in higher dimensions with an arbitrary expanding matrix dilation. At first, we give a necessary condition of wavelet frame in $L^2(R^n)$, which generalizes the univariate results of Shi from one dimension with an arbitrary real number a(a > 1) dilation to higher dimension with an arbitrary expansive matrix dilation. Secondly, we deduce a necessary condition for wavelet frames in $L^2(R^n)$ when the function $\psi$ satisfies some property of the decay. For the case n = 1, we obtain a corollary which has weaker condition comparing with existing result.

YANG-MILLS CONNECTIONS ON CLOSED LIE GROUPS

  • Pyo, Yong-Soo;Shin, Young-Lim;Park, Joon-Sik
    • 호남수학학술지
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    • 제32권4호
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    • pp.651-661
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    • 2010
  • In this paper, we obtain a necessary and sufficient condition for a left invariant connection in the tangent bundle over a closed Lie group with a left invariant metric to be a Yang-Mills connection. Moreover, we have a necessary and sufficient condition for a left invariant connection with a torsion-free Weyl structure in the tangent bundle over SU(2) with a left invariant Riemannian metric g to be a Yang-Mills connection.

Sufficient Condition for Existence of Solution Horizon in Undiscounted Nonhomogeneous Infinite Horizon Optimization Problems

  • Park, Yun-Sun;Cho, Myeon-Sik
    • 대한산업공학회지
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    • 제20권1호
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    • pp.121-131
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    • 1994
  • Since many infinite horizon problems have infinite sequence of data to be considered, in general, it is impossible to express the optimal strategies finitely or to calculate them in finite time. This paper considers undiscounted nonhomogeneous deterministic infinite horizon problems. For those problems, we take a basic step to solve this class of infinite horizon problems optimally by giving a sufficient condition for a finite solution.

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SUFFICIENT CONDITION FOR THE EXISTENCE OF THREE DISJOINT THETA GRAPHS

  • Gao, Yunshu;Ma, Ding
    • 대한수학회보
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    • 제52권1호
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    • pp.287-299
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    • 2015
  • A theta graph is the union of three internally disjoint paths that have the same two distinct end vertices. We show that every graph of order $n{\geq}12$ and size at least ${\lfloor}\frac{11n-18}{2}{\rfloor}$ contains three disjoint theta graphs. As a corollary, every graph of order $n{\geq}12$ and size at least ${\lfloor}\frac{11n-18}{2}{\rfloor}$ contains three disjoint cycles of even length.

On Stationarity of TARMA(p,q) Process

  • Lee, Oesook;Lee, Mihyun
    • Journal of the Korean Statistical Society
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    • 제30권1호
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    • pp.115-125
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    • 2001
  • We consider the threshold autoregressive moving average(TARMA) process and find a sufficient condition for strict stationarity of the proces. Given region for stationarity of TARMA(p,q) model is the same as that of TAR(p) model given by Chan and Tong(1985), which shows that the moving average part of TARMA(p,q) process does not affect the stationarity of the process. We find also a sufficient condition for the existence of kth moments(k$\geq$1) of the process with respect to the stationary distribution.

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Iterative adaptive control of partially known system under tight servo constraints

  • Hwang, Dong-Hwan;Bien, Zeungnam;Oh, Sang-Rok
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1989년도 한국자동제어학술회의논문집; Seoul, Korea; 27-28 Oct. 1989
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    • pp.682-686
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    • 1989
  • A new sufficient condition for the convergency of an iterative adaptive control algorithm is presented, in which a parameter estimator of the system together with an inverse system model to generate the control signal at each iteration. Also the result is extended to discrete time domain and a similar sufficient condition is derived.

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