Realization of Lossless Systems Via Constant Matrix Factorizations

Rapisarda, P. & Rao, S., Oct-2013, In : IEEE Transactions on Automatic Control. 58, 10, p. 2632-2636 5 p.

Research output: Contribution to journalArticleAcademicpeer-review

  • Paolo Rapisarda
  • Shodhan Rao

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.

Original languageEnglish
Pages (from-to)2632-2636
Number of pages5
JournalIEEE Transactions on Automatic Control
Issue number10
Publication statusPublished - Oct-2013


  • Behavioral systems theory, image representation, J-lossless behaviors, quadratic differential forms, rank-revealing factorization, storage function, DIFFERENTIAL FORMS, STATE MAPS, BEHAVIORS

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