• 제목/요약/키워드: rank condition

검색결과 160건 처리시간 0.028초

CONDITION NUMBERS WITH THEIR CONDITION NUMBERS FOR THE WEIGHTED MOORE-PENROSE INVERSE AND THE WEIGHTED LEAST SQUARES SOLUTION

  • Kang Wenhua;Xiang Hua
    • Journal of applied mathematics & informatics
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    • 제22권1_2호
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    • pp.95-112
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    • 2006
  • In this paper, the authors investigate the condition number with their condition numbers for weighted Moore-Penrose inverse and weighted least squares solution of min /Ax - b/M, where A is a rank-deficient complex matrix in $C^{m{\times}n} $ and b a vector of length m in $C^m$, x a vector of length n in $C^n$. For the normwise condition number, the sensitivity of the relative condition number itself is studied, the componentwise perturbation is also investigated.

THE LEFSCHETZ CONDITION ON PROJECTIVIZATIONS OF COMPLEX VECTOR BUNDLES

  • Nishinobu, Hirokazu;Yamaguchi, Toshihiro
    • 대한수학회논문집
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    • 제29권4호
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    • pp.569-579
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    • 2014
  • We consider a condition under which the projectivization $P(E^k)$ of a complex k-bundle $E^k{\rightarrow}M$ over an even-dimensional manifold M can have the hard Lefschetz property, affected by [10]. It depends strongly on the rank k of the bundle $E^k$. Our approach is purely algebraic by using rational Sullivan minimal models [5]. We will give some examples.

Ignition Behavior of Single Coal Particles From Different Coal Ranks at High Heating Rate Condition

  • Lee, Dongfang;Kim, Ryang Gyoon;Jeon, Chung-Hwan
    • 한국연소학회:학술대회논문집
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    • 한국연소학회 2012년도 제45회 KOSCO SYMPOSIUM 초록집
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    • pp.111-114
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    • 2012
  • The ignition behavior of single coal particles of five kindes of coal with different ranks (low volatile bituminous, low volatile sub-bituminous, high volatile bituminous, lignite) with particle size of $150-200{\mu}m$ was investigated at high heating rate condition. Particles were injected into a laminar flow reactor and the ignition behavior was observed with high speed cinematography. Sub-bituminous were observed to ignite homogeneously; however, low volatile bituminous coal and lignite undergo fragmentation prior to igntion. The observation was analyzed with previous work.

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Output Feedback Stabilization of Non-Minimum Phase Nonlinear Systems

  • Jo, Nam-H.;Son, Young-I.;Shim, Hyung-Bo
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2002년도 ICCAS
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    • pp.60.1-60
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    • 2002
  • . an output feedback stabilizing controller for non-minimum phase nonlinear systems . Assumption 1 : the Jacobi linearization of the given nonlinear linear system is controllable . Assumption 2: an appropriate transformation which transforms the zero dynamics into a special form . Assumption 3: the system satisfies the observability rank condition . Augmentation of systems by augmented by a chain of integrators

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시뮬레이션에 의한 바이스태틱 클러터 구조 분석 (Analysis of Bistatic Clutter Structure through Simulation)

  • 전현무;정용식;정원주;김종만;양훈기
    • 한국전자파학회논문지
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    • 제27권1호
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    • pp.96-99
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    • 2016
  • 일반적으로 바이스태틱 클러터는 송신단과 수신단의 독립적인 이동에 의해 모노스태틱 클러터와는 달리 Angle-Doppler 평면에서 비선형적인 클러터 구조을 갖게 된다. 본 논문에서는 시뮬레이션 기법에 의해 Angle-Doppler 평면에서의 바이스태틱 클러터 구조를 이용해서 송신단과 수신단의 이동에 의한 클러터 구조 변화에 대해 분석한다. 또한, 시뮬레이션 결과를 통해 바이스태틱 레이더에서 클러터 공분산 행렬의 Rank가 가장 적게 되기 위한 송 수신단의 운용 조건을 보인다.

Construction Algorithm of Grassmann Space Parameters in Linear Output Feedback Systems

  • Kim Su-Woon
    • International Journal of Control, Automation, and Systems
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    • 제3권3호
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    • pp.430-443
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    • 2005
  • A general construction algorithm of the Grassmann space parameters in linear systems - so-called, the Plucker matrix, 'L' in m-input, p-output, n-th order static output feedback systems and the Plucker matrix, $'L^{aug}'$ in augmented (m+d)-input, (p+d)-output, (n+d)-th order static output feedback systems - is presented for numerical checking of necessary conditions of complete static and complete minimum d-th order dynamic output feedback pole-assignments, respectively, and also for discernment of deterministic computation condition of their pole-assignable real solutions. Through the construction of L, it is shown that certain generically pole-assignable strictly proper mp > n system is actually none pole-assignable over any (real and complex) output feedbacks, by intrinsic rank deficiency of some submatrix of L. And it is also concretely illustrated that this none pole-assignable mp > n system by static output feedback can be arbitrary pole-assignable system via minimum d-th order dynamic output feedback, which is constructed by deterministic computation under full­rank of some submatrix of $L^{aug}$.

인공광의 광원에 따른 실내 지피식물의 생육반응 (A Growth Responses of Indoor Ground Cover Plants according to a Light Source of Aritificial Light)

  • 방광자;박혜경;최경옥
    • 한국조경학회지
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    • 제27권5호
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    • pp.114-119
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    • 2000
  • This study was carried out to obtain fundamental information of growth response of ground cover plants under artificial light quality at indoor. Aglaonema 'Silver Queen', Hedera helix L., Hoya carnosa 'Tricolor' and Saintpaulia ionantha 'Frances' were examined under a 400lux light intensity consisted of Mercury lamp, True-lite lamp, incandescent lamp, dark-room and sunlight indoor condition. A data analysis were performed by GLM, Duncan's multiple range test and mean score with SAS program. Results of experiments are as follows; 1. A plant growth status was better showed under the True-lite lamp than sunlight. 2. A Saintpaulia ionantha flower color was responded in the first place, the deep pinkish red color of Saintpaulia ionantha flower was obtained under Mercury lamp and "True-lite lamp", "sunlight", and incandescent lamp were follow. Flower numbers of Saintpaulia ionantha after 60 days tended to decrease under every artificial light quality. 3. Leaf length and leaf width were increased under True-lite lamp, but most of plants was not significantly affected by artificial light quality. 4. A stem length of Hedera helix was increased the highest rank under sunlight also, one of artificial light, the highest increase rank was showed under incandescent lamp. 5. Chlorophyll content was highly increased under Mercury lamp, but was responded poor under incandescent lamp.

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다구치 방법을 활용한 해머밀 분쇄공정의 최적화 연구 (Taguchi's Robust Design Method for Optimization of Grinding Condition by Hammer Mill)

  • 최홍일;김병곤;박종령;정수복;전호석;장희동
    • 한국광물학회지
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    • 제23권3호
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    • pp.219-225
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    • 2010
  • 저등급 석탄인 갈탄(lignite)을 순환 유동층 가스화기(circulating fluidized bed gasifier)의 효과적인 가스화를 위한 공급탄으로 제조하기 위하여 모든 조건들은 동일하고 스크린의 크기만을 변경하여 목적하는 입도분포 특성을 달성하는 최적조건을 찾기 위한 실험을 수행하였다. 가스화기 공급탄은 0.045~1 mm 크기로 85 wt% 이상이 요구되며 이러한 입도분포를 갖는 공급탄을 제조하기 위해서는 경제적이면서도 효과적인 공정 설계가 반드시 필요하다. 따라서 본 연구는 중국산 갈탄을 해머밀로 효과적으로 분쇄하기 위하여 다구치 설계를 사용하였으며, 설계조건에 따른 실험결과 및 통계분석 결과 95% 유의수준에서 1차 스크린의 크기는 3 mm, 2차 스크린의 크기는 1.3 mm인 경우가 최적화된 조건인 것으로 나타났다.

동시안정화를 이용한 저차원 극배치 전력계통안정화장치 설계 (Design of a Low-order Pole Placement Power System Stabilizer Using Simultaneous Stabilization)

  • 김석주;이종무;권순만
    • 전기학회논문지
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    • 제57권10호
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    • pp.1708-1712
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    • 2008
  • This paper describes a linear matrix inequality (LMI) approach to the design of robust low-order power system stabilizers (PSSs), which are used to damp out local-mode oscillations of synchronous generators. The performance of a PSS is expressed as the location of the closed-loop poles, and a single fixed-gain pole-placement controller is synthesized for a wide range of operating conditions. The synthesis results in simultaneous regional pole-placement stabilization. and is formulated as an LMI feasibility problem with a rank condition. A penalty method is applied to solve the rank-constrained LMI problem. Numerical experiments with a single-machine connected to an infinite bus system were performed to demonstrate the proposed method.

LMI를 이용한 정적출력궤환 동시안정화 제어기 설계 (Simultaneous Stabilization Via Static Ouput Feedback Using an LMI Method)

  • 천종민;이종무;권순만;문영현;김석주
    • 대한전기학회논문지:시스템및제어부문D
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    • 제55권5호
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    • pp.226-228
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    • 2006
  • This paper deals with a linear matrix inequality (LMI) approach to the design of a static output feedback controller that simultaneously stabilizes a finite collection of linear time-invariant plants. Simultaneous stabilization by static ouput feedback is represented in terms of LMIs with a rank condition. An iterative penalty method is proposed to solve the rank-constrained LMI problem. Numerical experiments show the effectiveness of the proposed algorithm.