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Original Articles

Unimodular equivalence and similarity for linear systems

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Pages 2091-2098 | Received 19 Jul 2017, Accepted 10 Jan 2018, Published online: 30 Jan 2018

References

  • Dickinson, B. W. , Kailath, T. , & Morf, M. (1974). Canonical matrix fraction and state-space descriptions for deterministic and stochastic linear systems. IEEE Transactions on Automatic Control , 19 , 656–667.
  • Forney, G. D. (1975). Minimal bases of rational vector spaces, with applications to multivariable linear systems. SIAM Journal on Control and Optimization , 13 , 493–520.
  • Gantmacher, F. R. (1959). Matrix theory (Vol. 1–2). New York, NY: Chelsea Publishing Company.
  • Kailath, T . (1980). Linear systems . Englewood Cliffs, NJ: Prentice Hall.
  • Karcanias, N. , (1979). Matrix pencil approach to geometric system theory. Proceedings of the Institution of Electrical Engineers , 126 , 585–590. doi:10.1049/piee.1979.0138
  • Karcanias, N. (1990). Proper invariant realizations of singular system problems. IEEE Transactions on Automatic Control , 35 , 230–233.
  • MacLane, S. , , & Birkhoff, G. (1967). Algebra New York, NY: Chelsea Publishing Company.
  • Popov, V. M. (1969). Some properties of the control systems with irreducible matrix transfer functions. Lecture Notes in Mathematics , 144 , 250–261.
  • Popov, V. M. (1972). Invariant description of linear time–invariant controllable systems. SIAM Journal on Control and Optimization , 13 , 252–264.
  • Rosenbrock, H. (1970). State space and multivariable theory . London: Nelson.
  • Vafiadis, D. , & Karcanias, N. (1997). Canonical forms for descriptor systems under restricted system equivalence. Automatica , 33 (5), 955–958.
  • Willems, J. (1991). Paradigms and puzzles in the theory of dynamical systems. IEEE Transactions on Automatic Control , 36 , 259–294.
  • Wolovich, W. A. (1974). Linear multivariable systems (Vol. 11), New York, NY: Springer-Verlag.

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