| Title:
|
Invariants and canonical forms for linear multivariable systems under the action of orthogonal transformation groups (English) |
| Author:
|
Konstantinov, M. M. |
| Author:
|
Petkov, P. Hr. |
| Author:
|
Christov, N. D. |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
17 |
| Issue:
|
5 |
| Year:
|
1981 |
| Pages:
|
413-424 |
| . |
| Category:
|
math |
| . |
| MSC:
|
93B10 |
| MSC:
|
93B17 |
| MSC:
|
93B40 |
| MSC:
|
93C05 |
| MSC:
|
93C35 |
| idZBL:
|
Zbl 0474.93020 |
| idMR:
|
MR648213 |
| . |
| Date available:
|
2009-09-24T17:23:39Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125502 |
| . |
| Reference:
|
[1] D. G. Luenberger: Canonical forms for linear multivariable systems.IEEE Trans. Autom. Control AC-12 (1967), 290-293. MR 0441429 |
| Reference:
|
[2] P. Brunovsk7: A classification of linear controllable systems.Ky bernetika 3 (1970), 173 - 187. MR 0284247 |
| Reference:
|
[3] R. E. Kalman: Kronecker invariants and feedback.Proc. NRL-MRC Conf. (L. Weiss Ed.), Academic Press, N.Y. 1972, pp. 459-471. Zbl 0308.93008, MR 0421751 |
| Reference:
|
[4] V. M. Popov: Invariant description of linear time-invariant controllable systems.SIAM J. Control 10 (1972), 252-264. Zbl 0251.93014, MR 0479501 |
| Reference:
|
[5] M. J. Denham: Canonical forms for the identification of linear multivariable systems.IEEE Trans. Autom. Control AC-19 (1974), 646-656. MR 0437153 |
| Reference:
|
[6] K. Glover J. C. Willems: Parametrization of linear dynamical systems: Canonical forms and identifiability.IEEE Trans. Autom. Control AC-19 (1974), 640-646. MR 0439305 |
| Reference:
|
[7] J. Rissanen: Basis of invariants and canonical forms for linear dynamic systems.Automatica 70 (1974), 175-182. Zbl 0307.93010, MR 0484602 |
| Reference:
|
[8] O. H. Bosgra A. J. J. Van der Weiden: Input-output invariants for linear multivariable systems.IEEE Trans. Autom. Control AC-25 (1980), 20-36. MR 0561336 |
| Reference:
|
[9] M. M. Konstantinov P. Hr. Petkov N. D. Christov: Synthesis of linear systems with desired equivalent form.J. Comp. & Appl. Math. 6 (1980), 27-35. MR 0568600 |
| Reference:
|
[10] M. M. Konstantinov S. P. Patarinski P. Hr. Petkov N. D. Christov: Synthesis of linear control systems with prescribed dynamics.Proc. First Internat. Conf. on Math. Modeling, Aug. 1977 St. Louis (Miss.) vol. 3, pp. 1639-1648. |
| Reference:
|
[11] M. M. Konstantinov P. Hr. Petkov N. D. Christov: The serial canonical form and synthesis of linear multivariable systems.Podstawy Sterowania 9 (1979), 295 - 308. MR 0552252 |
| Reference:
|
[12] M. M. Konstantinov P. Hr. Petkov N. D. Christov: Synthesis of linear multivariable systems with prescribed equivalent form.Systems Sci. 5 (1979), 381 - 394. MR 0572039 |
| Reference:
|
[13] D. Jordan B. Sridhar: An efficient algorithm for calculation of Luenberger canonical form.IEEE Trans. Autom. Control AC-18 (1973), 292-295. MR 0441428 |
| Reference:
|
[14] K. B. Datta: An algorithm to compute canonical forms in multivariable control systems.IEEE Trans. Autom. Control AC-22 (1977), 129-132. Zbl 0346.93009, MR 0444149 |
| Reference:
|
[15] J. Hickin N. K. Sinha: An efficient algorithm for transformation to canonical forms.IEEE Trans. Autom. Control AC-22 (1977), 652-653. |
| Reference:
|
[16] E. J. Davison W. Gesing S. H. Wang: An algorithm for obtaining the minimal realization of a linear time-invariant system and determining if a system is stabilizable-detectable.Proc. 1977 IEEE Conf. on Dec. & Control, pp. 777-781. MR 0513977 |
| Reference:
|
[17] J. D. Aplevich: Direct computation of canonical forms for linear systems by elementary matrix operations.IEEE Trans. Autom. Control AC-19 (1974), 124-126. Zbl 0309.93008, MR 0398644 |
| Reference:
|
[18] B. T. Smith J. M. Boyle J. J. Dongarra B. S. Garbow Y. Ikebe V. C. Klema C. B. Moler: Matrix Eigensystem Routines-EISPACK Guide.Springer-Verlag, Berlin 1976. MR 0494879 |
| Reference:
|
[19] J. J. Dongarra J. R. Bunch C. B. Moler G. W.Stewart: LINPACK Users' Guide.SIAM, Philadelphia 1979. |
| . |
