Keywords: coprime polynomial fraction; transfer function matrix; polynomial matrix; Markov matrices; state-space model
@article{KYB_2001_37_6_a5,
author = {Smagina, Yelena M.},
title = {New coprime polynomial fraction representation of transfer function matrix},
journal = {Kybernetika},
pages = {725--735},
year = {2001},
volume = {37},
number = {6},
mrnumber = {1936997},
zbl = {1265.93063},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KYB_2001_37_6_a5/}
}
Smagina, Yelena M. New coprime polynomial fraction representation of transfer function matrix. Kybernetika, Tome 37 (2001) no. 6, pp. 725-735. http://geodesic.mathdoc.fr/item/KYB_2001_37_6_a5/
[1] Asseo S. J.: Phase-variable canonical transformation of multicontroller system. IEEE Trans. Automat. Control AC–13 (1968), 129–131 | DOI
[2] Gohberg I., Lancaster, P., Rodman L.: Matrix Polynomial. Academic Press, New York 1982 | MR
[3] Davison E. J., Wang S. H.: Property and calculation of transmission zeros of linear multivariable systems. Automatica 10 (1974), 643–658 | DOI
[4] Desoer C. A., Vidyasagar M.: Feedback Systems: Input-Output Properties. Academic Press, New York 1975 | MR | Zbl
[5] Isidori A.: Nonlinear Control Systems. Springer, New York 1995 | MR | Zbl
[6] Kailath T.: Linear Systems. Prentice–Hall, Englewood Cliffs, N.J. 1980 | MR | Zbl
[7] Kwakernaak H.: Progress in the polynomial solution in the standart $H^{\infty }$ problem. In: Proc. 11 IFAC Congress, Tallinn 1990, 5, pp. 122–129
[8] Kučera V.: Discrete Linear Control – The Polynomial Equation Approach. Academia, Prague 1979 | MR | Zbl
[9] Resende P., Silva V. V. R.: On the modal order reduction of linear multivariable systems using a block-Schwartz realization. In: Proc. 11 IFAC Congress, Tallinn 1990, 2, pp. 266–270
[10] Rosenbrock H. H.: State Space and Multivariable Theory. Thomas Nelson, London 1970 | MR | Zbl
[11] Smagina, Ye. M.: Problems of Linear Multivariable System Analysis Using the Concept of System Zeros. Tomsk University, Tomsk 1990
[12] Smagina, Ye. M.: Definition, Determination and Application of System Zeros. Doct. Sci. Thesis, Tomsk 1994
[13] Smagina, Ye. M.: New approach to transfer function matrix factorization. In: Proc. 1997 IFAC Conference on Control of Industrial Systems, Pergamon France 1997, 1, pp. 307–312
[14] Stefanidis P., Paplinski A. P., Gibbard M. J.: Numerical operations with polynomial matrices (Lecture Notes in Control and Inform. Sciences 171). Springer, Berlin 1992 | MR
[15] Tokarzewski J.: System zeros analysis via the Moore-Penrose pseudoinverse and SVD of the first nonzero Markov parameters. IEEE Trans. Automat. Control AC–43 (1998), 1285–1288 | DOI | MR
[16] Wolovich W. A.: On the numerators and zeros of rational transfer matrices. IEEE Trans. Automat. Control AC–18 (1973), 544–546 | DOI | MR | Zbl
[17] Wolovich W. A.: Linear Multivariable Systems. Springer, New York 1974 | MR | Zbl
[18] Youla D. C., Jarb H. A., Bongiorno J. J.: Modern Wiener-Hopf design of optimal controller. Part 2: The multivariable case. IEEE Trans. Automat. Control AC–21 (1976), 319–338 | DOI | MR
[19] Yokoyama R., Kinnen E.: Phase-variable canonical forms for the multi-input, multi-output systems. Internat. J. Control 17 (1976), 1297–1312 | DOI | MR