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Volumn 27, Issue 6, 2007, Pages 100-109

Dimensional Analysis of Matrices State-Space Models and Dimensionless Units

Author keywords

[No Author keywords available]

Indexed keywords

BUCKINGHAM-PI THEOREMS; DIMENSIONAL ANALYSIS; DIMENSIONAL STRUCTURES; EIGEN VALUES; FUNDAMENTAL THEOREMS; MATRIXES; STATE-SPACE MODELING; STATE-SPACE MODELS;

EID: 44649115081     PISSN: 1066033X     EISSN: None     Source Type: Journal    
DOI: 10.1109/MCS.2007.906924     Document Type: Article
Times cited : (14)

References (13)
  • 1
    • 0003452130 scopus 로고
    • Hydrodynamics—A Study in Logic, Fact, and Similitude
    • New York: Dover
    • G. Birkhoff, Hydrodynamics—A Study in Logic, Fact, and Similitude. New York: Dover, 1955.
    • (1955)
    • Birkhoff, G.1
  • 2
    • 0003837398 scopus 로고
    • Dimensional Analysis
    • New Haven, CT: Yale Univ. Press
    • P.W. Bridgman, Dimensional Analysis. New Haven, CT: Yale Univ. Press, 1963.
    • (1963)
    • Bridgman, P.W.1
  • 3
    • 0004181131 scopus 로고
    • Dimensional Analysis
    • New York: Dover
    • H.E. Huntley, Dimensional Analysis. New York: Dover, 1967.
    • (1967)
    • Huntley, H.E.1
  • 4
    • 0003454592 scopus 로고
    • Mathematics Applied to Deterministic Problems in the Natural Sciences
    • New York: Macmillan
    • C.C. Lin and L.A. Segel, Mathematics Applied to Deterministic Problems in the Natural Sciences. New York: Macmillan, 1974.
    • (1974)
    • Lin, C.C.1    Segel, L.A.2
  • 5
    • 0041665823 scopus 로고
    • Dimensional analysis and the pi theorem
    • W.D. Curtis, J.D. Logan, and W.A. Parker, “Dimensional analysis and the pi theorem,” Lin. Alg. Appl., vol. 47, pp. 117-126,1982.
    • (1982) Lin. Alg. Appl. , vol.47 , pp. 117-126
    • Curtis, W.D.1    Logan, J.D.2    Parker, W.A.3
  • 6
    • 33244483183 scopus 로고
    • Multidimensional Analysis: Algebras and Systems for Science and Engineering
    • New York: Springer
    • G.W. Hart, Multidimensional Analysis: Algebras and Systems for Science and Engineering. New York: Springer, 1995.
    • (1995)
    • Hart, G.W.1
  • 7
    • 0003481076 scopus 로고    scopus 로고
    • Applied Dimensional Analysis and Modeling
    • New York: McGraw-Hill
    • T. Szirtes, Applied Dimensional Analysis and Modeling. New York: McGraw-Hill, 1998.
    • (1998)
    • Szirtes, T.1
  • 8
    • 85008031486 scopus 로고    scopus 로고
    • Dimensional analysis: An elegant technique for facilitating the teaching of mathematical modeling
    • T.H. Fay and S.V. Joubert, “Dimensional analysis: An elegant technique for facilitating the teaching of mathematical modeling,” Int. J. Math. Education Science Tech., vol. 33, pp. 280–293, 2002.
    • (2002) Int. J. Math. Education Science Tech. , vol.33 , pp. 280-293
    • Fay, T.H.1    Joubert, S.V.2
  • 9
    • 64349119055 scopus 로고
    • Dimensional Analysis in the Identification of Mathematical Models
    • Singapore: World Scientific
    • M. Rybaczuk, B. Lysik, and W. Kasprzak, Dimensional Analysis in the Identification of Mathematical Models. Singapore: World Scientific, 1990.
    • (1990)
    • Rybaczuk, M.1    Lysik, B.2    Kasprzak, W.3
  • 10
    • 0004683707 scopus 로고
    • On the foundations of dimensional analysis
    • S. Drobot, “On the foundations of dimensional analysis,” Studia Mathematica, vol. 14, no. 1, pp. 84-99,1953.
    • (1953) Studia Mathematica , vol.14 , Issue.1 , pp. 84-99
    • Drobot, S.1
  • 11
    • 0043168843 scopus 로고
    • Historico-critical review of dimensional analysis
    • E.O. Macagno, “Historico-critical review of dimensional analysis,” J. Franklin Inst., vol. 292, no. 6, pp. 391-402,1971.
    • (1971) J. Franklin Inst. , vol.292 , Issue.6 , pp. 391-402
    • Macagno, E.O.1
  • 13
    • 0011400511 scopus 로고
    • The mathematics of physical quantities: Part II: Quantity structures and dimensional analysis
    • H. Whitney, “The mathematics of physical quantities: Part II: Quantity structures and dimensional analysis,” Amer. Math. Monthly, vol. 75, no. 3, pp. 227-256,1971.
    • (1971) Amer. Math. Monthly , vol.75 , Issue.3 , pp. 227-256
    • Whitney, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.