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Volumn 81, Issue 11, 2005, Pages 66-71

Extension of the Caley-Hamilton theorem for right and left inverses of polynomial and rational matrices;Uogólnienie twierdzenia Cayleya-Hamiltona na prawe i lewe odwrotności macierzy wielomianowych oraz na macierze wymierne

Author keywords

Cayley Hamilton theorem; Left inverse; Polynomial matrix; Rational matrix; Right inverse

Indexed keywords


EID: 32044435837     PISSN: 00332097     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (5)

References (22)
  • 1
    • 32044461872 scopus 로고
    • Inversion of characteristic matrix of the timedelay systems of neural type
    • Bang-Jensen J. and Gutin G., Digraphs: Theory, Algorithms and Applications, Springer-Verlag, London 2001
    • Busłowicz M., Inversion of characteristic matrix of the timedelay systems of neural type, Foundations of Control Engineering, vol. 7, No 4, 1982, pp. 195-210.Bang-Jensen J. and Gutin G., Digraphs: Theory, Algorithms and Applications, Springer-Verlag, London 2001
    • (1982) Foundations of Control Engineering , vol.7 , Issue.4 , pp. 195-210
    • Busłowicz, M.1
  • 3
    • 0026839118 scopus 로고    scopus 로고
    • The generalized Cayley-Hamilton theorem for standard pencils
    • Chang F. R. and Chan C. N., The generalized Cayley-Hamilton theorem for standard pencils, System and Control Lett. 18, 192, pp 179-182
    • System and Control Lett. , vol.18 , Issue.192 , pp. 179-182
    • Chang, F.R.1    Chan, C.N.2
  • 5
    • 20344392426 scopus 로고    scopus 로고
    • Generalization of Cayley-Hamilton theorem for n-D polynomial matrices
    • Kaczorek T., Generalization of Cayley-Hamilton theorem for n-D polynomial matrices, IEEE Trans. Autom. Contr., vol. 50, No 5, pp. 671-674, 2005
    • (2005) IEEE Trans. Autom. Contr. , vol.50 , Issue.5 , pp. 671-674
    • Kaczorek, T.1
  • 6
    • 32044454120 scopus 로고
    • Research Studies Press
    • Kaczorek T., Linear Control Systems, vol. I, II, Research Studies Press, 1992/1993
    • (1992) Linear Control Systems , vol.1 , Issue.2
    • Kaczorek, T.1
  • 8
    • 20344362823 scopus 로고
    • Extensions of the Cayley-Hamilton theorem for 2D continuous-discrete linear systems
    • Kaczorek T., Extensions of the Cayley-Hamilton theorem for 2D continuous-discrete linear systems, Appl. Math, and Com. Sci., vol. 4, No 4, 1994, pp. 507-515.
    • (1994) Appl. Math, and Com. Sci. , vol.4 , Issue.4 , pp. 507-515
    • Kaczorek, T.1
  • 9
    • 20344371358 scopus 로고
    • An existence of the Cayley-Hamilton theorem for singular 2D linear sys-tems with non-square matrices
    • Kaczorek T., An existence of the Cayley-Hamilton theorem for singular 2D linear sys-tems with non-square matrices, Bull. Pol. Acad. Techn. Sci., vol. 43, No 1, 1995, pp. 39-48.
    • (1995) Bull. Pol. Acad. Techn. Sci. , vol.43 , Issue.1 , pp. 39-48
    • Kaczorek, T.1
  • 10
    • 32044454535 scopus 로고
    • An existence of the Cayley-Hamilton theorem for nonsquare block matrices and computation of the left and right in verses of matrices
    • Kaczorek T., An existence of the Cayley-Hamilton theorem for nonsquare block matrices and computation of the left and right in verses of matrices, Bull. Pol. Acad. Techn. Sci., vol. 43, No 1, 1995, pp. 49-56.
    • (1995) Bull. Pol. Acad. Techn. Sci. , vol.43 , Issue.1 , pp. 49-56
    • Kaczorek, T.1
  • 12
    • 20344367917 scopus 로고    scopus 로고
    • An extension of the Cayley-Hamilton theorem for a standard pair of block matrices
    • Kaczorek T., An extension of the Cayley-Hamilton theorem for a standard pair of block matrices, Appl Math, and Com. Sci., vol. 8, No 3, 1998, pp. 511-516.
    • (1998) Appl Math, and Com. Sci. , vol.8 , Issue.3 , pp. 511-516
    • Kaczorek, T.1
  • 14
    • 32044462111 scopus 로고    scopus 로고
    • Extension of the Cale-Hamilton theorem to continuous-time linear systems with delays
    • Kaczorek T., Extension of the Cale-Hamilton theorem to continuous-time linear systems with delays, Int. J. Appl. Math. Comput. Sci. 2005, vol. 15, pp. 231-234
    • (2005) Int. J. Appl. Math. Comput. Sci. , vol.15 , pp. 231-234
    • Kaczorek, T.1
  • 15
    • 32044443039 scopus 로고    scopus 로고
    • New extension of the Cayley-Hamilton theorem with applications
    • June 1-4
    • Kaczorek T., New extension of the Cayley-Hamilton theorem with applications, European Conf. on Modelling and Simmulation, June 1-4, 2005, pp. 119-124
    • (2005) European Conf. on Modelling and Simmulation , pp. 119-124
    • Kaczorek, T.1
  • 18
    • 0022783875 scopus 로고
    • Further remarks on the Cayley-Hamilton theorem and Fadeev's method for the matrix pencil [sE-A]
    • Lewis F. L., Further remarks on the Cayley-Hamilton theorem and Fadeev's method for the matrix pencil [sE-A], IEEE Trans. Automat. Control, 31, 1986, pp. 869-870.
    • (1986) IEEE Trans. Automat. Control , vol.31 , pp. 869-870
    • Lewis, F.L.1
  • 20
    • 9644305919 scopus 로고
    • The algebra of matrices in n-dimensional systems
    • Smart N M. and Barnett S., The algebra of matrices in n-dimensional systems, Math. Control Inform., 6, 1989, pp. 121-133.
    • (1989) Math. Control Inform. , vol.6 , pp. 121-133
    • Smart, N.M.1    Barnett, S.2
  • 21
    • 0024665741 scopus 로고
    • M-dimensional Cayley-Hamilton theorem
    • Theodom N. J., M-dimensional Cayley-Hamilton theorem, IEEE Trans. Automat. Control, AC-34, No 5, 1989, pp. 563-565.
    • (1989) IEEE Trans. Automat. Control , vol.AC-34 , Issue.5 , pp. 563-565
    • Theodom, N.J.1
  • 22
    • 20344376824 scopus 로고
    • A block Cayley-Hamilton theorem
    • Victoria J., A block Cayley-Hamilton theorem, Bull. Math. Soc. Sci. Math. Roum, 26, No 1, 1982, pp. 93-97.
    • (1982) Bull. Math. Soc. Sci. Math. Roum , vol.26 , Issue.1 , pp. 93-97
    • Victoria, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.