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Minimal realization in companion forms. (English) Zbl 0449.93012

MSC:
93B20 Minimal systems representations
93B10 Canonical structure
93B15 Realizations from input-output data
93C99 Model systems in control theory
93C05 Linear systems in control theory
93B40 Computational methods in systems theory (MSC2010)
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References:
[1] Kalman, R.E.; Falb, P.L.; Arbib, M.A., (), 237-339
[2] Silverman, L.M., Realization of linear dynamical systems, IEEE trans. aut. control, Vol. AC-16, 554-567, (1971)
[3] Mayne, D.Q., Computational procedure for the minimum realization of transfer function matrices, Proc. IEE, Vol. 115, 1363-1368, (Sept. 1968)
[4] Gori-Giorgi, C.; Isidori, A., A new algorithm for the irreducible realization of a rational matrix, Ricerche di automatica, Vol. II, 225-239, (1971)
[5] Wolovich, W.A., (), 77-93
[6] Mital, D.P.; Chen, C.T., Irreducible canonical form realization of rational matrix, Int. J. control, Vol. 18, 881-887, (1973) · Zbl 0269.93012
[7] Kalman, R.E., Irreducible realizations and the degree of a rational matrix, J. SIAM appl. math., Vol. 13, 520-544, (June 1965)
[8] Montes, C.G., Minimum realization of a transfer function matrix in canonical form, IEEE trans. aut. control, Vol. AC-21, 390-401, (1976) · Zbl 0324.93013
[9] Rissanen, J., Realization of matrix sequences, IBM research report, RJ1032, (May 15, 1972)
[10] Rosenbrock, H.H., State-space and multivariable theory, (1970), John Wiley New York · Zbl 0246.93010
[11] Kalman, R.E., Mathematical description of linear dynamical systems, SIAM J. control, Vol. 1, 152-192, (1963) · Zbl 0145.34301
[12] Popov, V.M., Invariant description of linear time invariant controllable systems, SIAM J. control, Vol. 10, 252-264, (1972) · Zbl 0251.93013
[13] Ho, B.L.; Kalman, R.E., Effective construction of linear state-variable models from input-output functions, Regelungstechnik, Vol. 14, 545-548, (1966) · Zbl 0145.12701
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