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International Journal of Control Volume 82, 2009 - Issue 11
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Original Articles

ARMA-models and their equivalences

Vakhtang Lomadze Abdus Salam School of Mathematical Sciences, GC University, A. Razmadze Mathematical Institute, Tbilisi 0193, Georgia, Lahore, PakistanCorrespondence[email protected]
Pages 2034-2039 | Received 16 Dec 2008, Accepted 15 Mar 2009, Published online: 14 Sep 2009

References

  • Bourbaki , N . 1989 . Commutative Algebra, Chapters 1–7 , New-York : Springer-Verlag .
  • Fuhrmann , P . 1977 . On Strict System Equivalence and Similarity . International Journal of Control , 25 : 5 – 10 .
  • Lomadze , V . 2002 . Rosenbrock Models and Their Homotopy Equivalence . Linear Algebra and its Application , 351/352 : 519 – 532 .
  • Lomadze , V . How to Define the Dual of a Higher-dimensional Linear System? . Linear Algebra and its Application , in press
  • Pommaret , JF and Quadrat , A . 2000 . “ Equivalences of Linear Control Systems ” . In in Proceedings of MTNS 2000 , France : Perpignan . [CD-ROM]
  • Rosenbrock , HH . 1970 . State Space and Multivariable Theory , London : Nelson .
  • Rosenbrock , HH . 1977 . The Transformation of Strict System Equivalence . International Journal of Control , 25 : 11 – 19 .
  • Willems , JC . 1991 . Paradigms and Puzzles in the Theory of Dynamical Systems . IEEE Transactions on Automation and Control , 36 : 259 – 294 .

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