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Realization of lossless systems via constant matrix factorizations

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

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MLA
Rapisarda, Paolo, and Shodhan Rao. “Realization of Lossless Systems via Constant Matrix Factorizations.” IEEE TRANSACTIONS ON AUTOMATIC CONTROL 58.10 (2013): 2632–2636. Print.
APA
Rapisarda, P., & Rao, S. (2013). Realization of lossless systems via constant matrix factorizations. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 58(10), 2632–2636.
Chicago author-date
Rapisarda, Paolo, and Shodhan Rao. 2013. “Realization of Lossless Systems via Constant Matrix Factorizations.” Ieee Transactions on Automatic Control 58 (10): 2632–2636.
Chicago author-date (all authors)
Rapisarda, Paolo, and Shodhan Rao. 2013. “Realization of Lossless Systems via Constant Matrix Factorizations.” Ieee Transactions on Automatic Control 58 (10): 2632–2636.
Vancouver
1.
Rapisarda P, Rao S. Realization of lossless systems via constant matrix factorizations. IEEE TRANSACTIONS ON AUTOMATIC CONTROL. 2013;58(10):2632–6.
IEEE
[1]
P. Rapisarda and S. Rao, “Realization of lossless systems via constant matrix factorizations,” IEEE TRANSACTIONS ON AUTOMATIC CONTROL, vol. 58, no. 10, pp. 2632–2636, 2013.
@article{6989040,
  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.},
  author       = {Rapisarda, Paolo and Rao, Shodhan},
  issn         = {0018-9286},
  journal      = {IEEE TRANSACTIONS ON AUTOMATIC CONTROL},
  keywords     = {quadratic differential forms,rank-revealing factorization,J-lossless behaviors,image representation,Behavioral systems theory,storage function,DIFFERENTIAL FORMS,STATE MAPS,BEHAVIORS},
  language     = {eng},
  number       = {10},
  pages        = {2632--2636},
  title        = {Realization of lossless systems via constant matrix factorizations},
  url          = {http://dx.doi.org/10.1109/TAC.2013.2254640},
  volume       = {58},
  year         = {2013},
}

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