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Volumn 34, Issue 5, 1998, Pages 289-293

Minimum lag descriptions and minimal Gröbner bases

Author keywords

Behavioural approach; Gr bner basis; Minimum lag description; Module theory; Multidimensional system

Indexed keywords


EID: 0343297703     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6911(98)00040-1     Document Type: Article
Times cited : (3)

References (10)
  • 1
    • 0003204425 scopus 로고
    • Gröbner Bases: A Computational Approach to Commutative Algebra
    • Springer, Berlin
    • T. Becker, V. Weispfenning, Gröbner Bases: A Computational Approach to Commutative Algebra, Graduate Texts in Mathematics, vol. 141, Springer, Berlin, 1993.
    • (1993) Graduate Texts in Mathematics , vol.141
    • Becker, T.1    Weispfenning, V.2
  • 2
    • 0002803133 scopus 로고
    • Gröbner bases: An algorithmic method in polynomial ideal theory
    • N.K. Bose (Ed.), Reidel, Dordrecht
    • B. Buchberger, Gröbner bases: an algorithmic method in polynomial ideal theory, in: N.K. Bose (Ed.), Multi-dimensional Systems Theory, Reidel, Dordrecht, 1985, pp. 184-232.
    • (1985) Multi-dimensional Systems Theory , pp. 184-232
    • Buchberger, B.1
  • 3
    • 0003243860 scopus 로고
    • Commutative Algebra with a View Toward Algebraic Geometry
    • Springer, Berlin
    • D. Eisenbud, Commutative Algebra with a View Toward Algebraic Geometry, Graduate Texts in Mathematics, vol. 150, Springer, Berlin, 1995.
    • (1995) Graduate Texts in Mathematics , vol.150
    • Eisenbud, D.1
  • 4
    • 0016508669 scopus 로고
    • Minimal bases of rational vector spaces, with applications to multivariable linear systems
    • G.D. Forney, Minimal bases of rational vector spaces, with applications to multivariable linear systems, SIAM J. Control 13 (1975) 493-520.
    • (1975) SIAM J. Control , vol.13 , pp. 493-520
    • Forney, G.D.1
  • 5
    • 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, Internat. J. Control 30 (2) (1979) 291-318.
    • (1979) Internat. J. Control , vol.30 , Issue.2 , pp. 291-318
    • Münzner, H.F.1    Prätzel-Wolters, D.2
  • 6
    • 0003034426 scopus 로고
    • Multidimensional constant linear systems
    • U. Oberst, Multidimensional constant linear systems, Acta Appl. Math. 20 (1990) 1-175.
    • (1990) Acta Appl. Math. , vol.20 , pp. 1-175
    • Oberst, U.1
  • 8
    • 0030075395 scopus 로고    scopus 로고
    • Gröbner bases with respect to generalized term orders and their application to the modelling problem
    • F. Pauer, S. Zampieri, Gröbner bases with respect to generalized term orders and their application to the modelling problem, J. Symbolic Comput. 21 (1996) 155-168.
    • (1996) J. Symbolic Comput. , vol.21 , pp. 155-168
    • Pauer, F.1    Zampieri, S.2
  • 9
    • 0022775849 scopus 로고
    • From time series to linear system, Part I: Finite-dimensional linear time invariant systems
    • J.C. Willems, From time series to linear system, Part I: Finite-dimensional linear time invariant systems, Automatica 22 (5) (1986) 561-580.
    • (1986) Automatica , vol.22 , Issue.5 , pp. 561-580
    • Willems, J.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.