| Title:
|
One possibility of multidimensional control system design (English) |
| Author:
|
Strejc, Vladimír |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
25 |
| Issue:
|
6 |
| Year:
|
1989 |
| Pages:
|
509-522 |
| . |
| Category:
|
math |
| . |
| MSC:
|
49N10 |
| MSC:
|
93B50 |
| MSC:
|
93B51 |
| MSC:
|
93C05 |
| MSC:
|
93C35 |
| MSC:
|
93C55 |
| idZBL:
|
Zbl 0703.93031 |
| idMR:
|
MR1035156 |
| . |
| Date available:
|
2009-09-24T18:15:10Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124665 |
| . |
| Reference:
|
[1] W. F. Arnold, A. J. Laub: Generalized eigenproblem algorithm and software for algebraic Riccati equations.Proc. IEEE 72 (1984), 12, 1746-1754. |
| Reference:
|
[2] J. G. F. Francis: The QR transformation, Parts I and II.Comput. J. 4 (1961-1962), 265-271 and 332-345. |
| Reference:
|
[3] B. S. Garbov, al.: Matrix Eigensystem Routines -- EISPACK Guide Extension.(Lecture Notes in Computer Science 5.) Springer-Verlag, Berlin--Heidelberg--New York 1977. MR 0494880 |
| Reference:
|
[4] V. Kučera: The discrete Riccati equation of optimal control.Kybernetika 8 (1972), 5, 430-447. MR 0332254 |
| Reference:
|
[5] A. J. Laub: A Schur method for solving algebraic Riccati equations.IEEE Trans. Automat. Control AC-24 (1979), 6, 913-921. Zbl 0427.65027, MR 0566449 |
| Reference:
|
[6] A. J. Laub: Numerical linear algebra aspects of control design computations.IEEE Trans. Automat. Control AC-30 (1985), 2, 97-108. Zbl 0551.93025, MR 0778629 |
| Reference:
|
[7] T. Pappas A. J. Laub, N. R. Sandell: On the numerical solution of the discrete-time algebraic Riccati equation.IEEE Trans. Automat. Control AC-25 (1980), 4, 631-641. MR 0583440 |
| Reference:
|
[8] B. N. Parlett, C. Reinsch: Balancing a matrix for calculation of eigenvalues and eigenvectors.Numer. Math. 13 (1969), 293-304. Zbl 0184.37703, MR 1553969 |
| Reference:
|
[9] J. E. Potter: Matrix quadratic solutions.SIAM J. Appl. Math. 14 (1966), 3, 496-501. Zbl 0144.02001, MR 0201457 |
| Reference:
|
[10] B. T. Smith, al.: Matrix Eigensystem Routines -- EISPACK Guide.(Lecture Notes in Computer Science 6.) Springer-Verlag, Berlin--Heidelberg--New York 1976. Zbl 0325.65016, MR 0494879 |
| Reference:
|
[11] G. W. Stewart: Introduction to Matrix Computations.Academic Press, New York 1976. MR 0458818 |
| Reference:
|
[12] V. Strejc: Discrete version of model-in-the-system control.Problems Control Inform. Theory 17 (1988), 2, 71-76. Zbl 0648.93018, MR 0940876 |
| Reference:
|
[13] V. Strejc: State Space Theory of Discrete Linear Control.John Wiley and Sons, Chichester 1981. Zbl 0567.93051, MR 0636648 |
| Reference:
|
[14] D. R. Vaugham: A nonrecursive algebraic solution for the discrete Riccati equation.IEEE Trans. Automat. Control AC-15 (1970), 597-599. |
| . |
