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Pole assignment via Sylvester’s equation. (English) Zbl 0473.93037


MSC:

93C05 Linear systems in control theory
93B05 Controllability
15A24 Matrix equations and identities

Software:

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References:

[1] Wonham, W. M., Linear Multivariable Control, (A Geometric Approach (1979), Springer: Springer Englewood Cliffs, NJ) · Zbl 0314.93008
[2] E. de Souza and S.P. Bhattacharyya, Controllability, observability and the solution of AX − XB = C; E. de Souza and S.P. Bhattacharyya, Controllability, observability and the solution of AX − XB = C · Zbl 0468.15012
[3] Heymann, M., Pole assignment in multi-input linear systems, IEEE Trans. Automat. Control, 13, 6, 748-749 (1968)
[4] Moore, B. C., On the flexibility offered by state feedback in multivariable systems beyond closed loop eigenvalue assignment, IEEE Trans. Automat. Control, 21, 5, 689-692 (1976) · Zbl 0332.93047
[5] Bartels, R. H.; Stewart, G. W., Solution of the matrix equation AX+XB = C, Comm. ACM, 15, 820-826 (1972) · Zbl 1372.65121
[6] Golub, G. H.; Nash, S.; Van Loan, C., A Hessenburg-Schur method for the problem AX + XB = C, IEEE Trans. Automat. Control, 24, 6, 909-913 (1979) · Zbl 0421.65022
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