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Original Articles

Matrix pencil equivalents of a general polynomial matrix

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Pages 1979-1987 | Received 10 Jun 1988, Published online: 01 Apr 2008

References

  • Barnett , S. 1971 . Matrices in Control Theory , London : Van Nostrand Reinhold .
  • Bosgra , O. H. and van der Weiden , A. J. J. 1981 . Realisations in generalised state-space form for polynomial system matrices, and the definition of poles, zeros and decoupling zeros at infinity . International Journal of Control , 33 : 393 – 411 .
  • Hayton , G. E. , Pugh , A. C. and Fretwell , P. 1988 . Infinite elementary divisors of a matrix polynomial and implications . International Journal of Control , 47 : 53 – 64 .
  • McMillan , B. 1952 . Introduction to formal realisability theory—II . Bell Systems Technical Journal , 31 : 541 – 600 .
  • Rosenbrock , H. H. 1970 . State-Space and Multivariable Theory , London : Nelson-Wiley .
  • Pugh , A. C. 1976 . The McMillan degree of a polynomial system matrix . International Journal of Control , 24 : 129 – 135 .
  • Pugh , A. C. , Hayton , G. E. and Fretwell , P. 1987 . Transformations of matrix pencils and implications in linear systems theory . International Journal of Control , 45 : 529 – 548 .

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