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Volumn 288, Issue 1-3, 1999, Pages 249-258

Applications of vector bundles to factorization of rational matrices

Author keywords

Cohomologies; Rational matrices; Vector bundles

Indexed keywords


EID: 0039627818     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(98)10220-3     Document Type: Article
Times cited : (13)

References (12)
  • 1
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    • Applications of algebraic geometry to systems theory: The MacMillan degree and Kronecker indices as topological and holomorphic invariants
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    • (1978) SIAM J. on Control and Optim. , vol.16 , pp. 743-755
    • Martin, C.1    Hermann, R.2
  • 3
    • 0038842841 scopus 로고    scopus 로고
    • Linear system theory: An algebraist's point of view
    • V. Lomadze, Linear system theory: An algebraist's point of view, Systems and Control Lett. 29 (1996) 73-79.
    • (1996) Systems and Control Lett. , vol.29 , pp. 73-79
    • Lomadze, V.1
  • 4
    • 0001265094 scopus 로고
    • A smooth compactification of the space of transfer functions with fixed McMillan degree
    • M.S. Ravi, J. Rosenthal, A smooth compactification of the space of transfer functions with fixed McMillan degree, Acta Appl. Math. 34 (1994) 329-352.
    • (1994) Acta Appl. Math. , vol.34 , pp. 329-352
    • Ravi, M.S.1    Rosenthal, J.2
  • 5
    • 0029639610 scopus 로고
    • A general realization theory for higher order linear differential equations
    • M.S. Ravi, J. Rosenthal, A general realization theory for higher order linear differential equations, Systems and Control Lett. 25 (1995) 351-360.
    • (1995) Systems and Control Lett. , vol.25 , pp. 351-360
    • Ravi, M.S.1    Rosenthal, J.2
  • 6
    • 0016965275 scopus 로고
    • Algebraic system theory: An analyst's point of view
    • P. Fuhrmann, Algebraic system theory: an analyst's point of view, J. The Franklin Inst. 301 (1976) 521-540.
    • (1976) J. The Franklin Inst. , vol.301 , pp. 521-540
    • Fuhrmann, P.1
  • 7
    • 0040620734 scopus 로고
    • A short elementary proof of Grothendieck's theorem on algebraic vector bundles over the projective line
    • M. Hazewinkel, C. Martin, A short elementary proof of Grothendieck's theorem on algebraic vector bundles over the projective line, J. Pure and Appl. Algebra 25 (1982) 207-212.
    • (1982) J. Pure and Appl. Algebra , vol.25 , pp. 207-212
    • Hazewinkel, M.1    Martin, C.2
  • 8
    • 34250264218 scopus 로고
    • Factorization indices at infinity for rational matrix functions
    • P. Fuhrmann, J.C. Willems, Factorization indices at infinity for rational matrix functions, Int. Equations and Oper. Theory 2 (1979) 287-301.
    • (1979) Int. Equations and Oper. Theory , vol.2 , pp. 287-301
    • Fuhrmann, P.1    Willems, J.C.2
  • 9
    • 0018507139 scopus 로고
    • Minimal bases of polynomial modules, structural indices and Brunovsky transformations
    • H.F. Münzner, D. Prätzel-Wolters, Minimal bases of polynomial modules, structural indices and Brunovsky transformations, Int. J. Control 30 (1979) 291-318.
    • (1979) Int. J. Control , vol.30 , pp. 291-318
    • Münzner, H.F.1    Prätzel-Wolters, D.2
  • 11
    • 0000455623 scopus 로고
    • Sur la classification des fibres holomorphes sur la sphere de Riemann
    • A. Grothendieck, Sur la classification des fibres holomorphes sur la sphere de Riemann, Amer. J. Math. 79 (1957) 121-138.
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    • Grothendieck, A.1
  • 12
    • 0016508669 scopus 로고
    • Minimal bases of rational vector spaces, with applications to multivariable linear systems
    • D. Forney, Minimal bases of rational vector spaces, with applications to multivariable linear systems, SIAM J. Control and Optim. 13 (1975) 493-520.
    • (1975) SIAM J. Control and Optim. , vol.13 , pp. 493-520
    • Forney, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.