• DocumentCode
    851695
  • Title

    On the generalized Cayley-Hamilton theorem

  • Author

    Mertzios, B.G. ; Christodoulou, M.A.

  • Author_Institution
    Democritus University of Thrace, Xanthi, Greece
  • Volume
    31
  • Issue
    2
  • fYear
    1986
  • fDate
    2/1/1986 12:00:00 AM
  • Firstpage
    156
  • Lastpage
    157
  • Abstract
    The Cayley-Hamilton theorem is extended to the case where two A and B n \\times n matrices are involved. Results similar to the regular case are presented. The results are useful for problems that concern the analysis as well as the synthesis of singular systems, for the definition of a function of two matrices f(A, B) and in various other problems in linear algebra.
  • Keywords
    Matrices; Biological system modeling; Boundary conditions; Computational biology; Equations; Interconnected systems; Large-scale systems; Linear algebra; Polynomials; Power generation economics; Systems biology;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1986.1104208
  • Filename
    1104208