• DocumentCode
    1190684
  • Title

    On a fundamental property of the cross- Gramian matrix

  • Author

    Fernando, K.V. ; Nicholson, H.

  • Volume
    31
  • Issue
    5
  • fYear
    1984
  • fDate
    5/1/1984 12:00:00 AM
  • Firstpage
    504
  • Lastpage
    505
  • Abstract
    The cross-Gramian matrix W_{c0} (T) for linear single-input single-output (SISO) dynamical systems has been related to the controllability and observability Gramians via W^{2}_{c0}(T)= W_{c}(T)W_{0}(T) for T= \\infty . The result is now proved for any arbitrary time interval T , and is extended to symmetric multivariable systems which have symmetric transfer function matrices.
  • Keywords
    Linear systems; Matrices; Algorithm design and analysis; Approximation algorithms; Controllability; Convergence; Digital filters; Finite impulse response filter; Interpolation; Observability; Symmetric matrices; Transfer functions;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0098-4094
  • Type

    jour

  • DOI
    10.1109/TCS.1984.1085524
  • Filename
    1085524
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1190684