• DocumentCode
    805726
  • Title

    An algorithm for the computation of the integral of the state transition matrix

  • Author

    Johnson, Jamie ; Phillips, Chris

  • Author_Institution
    Auburn University, Auburn, AL, USA
  • Volume
    16
  • Issue
    2
  • fYear
    1971
  • fDate
    4/1/1971 12:00:00 AM
  • Firstpage
    204
  • Lastpage
    205
  • Abstract
    An efficient algorithm for the computation of the integral of the state transition matrix over the interval [ 0, T_{1} ] is developed, It is assumed that there exists some T < T_{1} such that the state transition matrix and the integral of the state transition matrix can be computed as accurately as required over the interval [ 0, T ].
  • Keywords
    Linear systems, time-invariant continuous-time; Matrix functions; Numerical integration; Control systems; Convergence; Differential equations; Eigenvalues and eigenfunctions; Linear systems; Sampling methods; Saturn; Systems engineering and theory; Time factors; Vectors;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1971.1099689
  • Filename
    1099689