• DocumentCode
    107381
  • Title

    Realization of Lossless Systems Via Constant Matrix Factorizations

  • Author

    Rapisarda, P. ; Rao, Smitha

  • Author_Institution
    Sch. of Electron. & Comput. Sci., Univ. of Southampton, Southampton, UK
  • Volume
    58
  • Issue
    10
  • fYear
    2013
  • fDate
    Oct. 2013
  • Firstpage
    2632
  • Lastpage
    2636
  • Abstract
    We study the realization problem for linear time-invariant systems described by higher-order differential equations, which are J-lossless with constant J. Our approach is based on the factorization of a constant matrix obtained in a straightforward way from the storage function of the system. State equations are obtained directly from this factorization and from the original system representation.
  • Keywords
    differential equations; matrix algebra; constant matrix factorizations; differential equations; linear time invariant systems; lossless systems realization; state equations; storage function; Image representation; Optimized production technology; Polynomials; Symmetric matrices; Trajectory; Vectors; $J$-lossless behaviors; Behavioral systems theory; image representation; quadratic differential forms; rank-revealing factorization; storage function;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2013.2254640
  • Filename
    6487385
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=107381