| Title:
             | 
Numerically stable algorithm for pole assignment of linear single-input systems (English) | 
| Author:
             | 
Petkov, Petko Hr. | 
| Author:
             | 
Christov, Nikolai D. | 
| Author:
             | 
Konstantinov, Michail M. | 
| Language:
             | 
English | 
| Journal:
             | 
Kybernetika | 
| ISSN:
             | 
0023-5954 | 
| Volume:
             | 
22 | 
| Issue:
             | 
4 | 
| Year:
             | 
1986 | 
| Pages:
             | 
349-367 | 
| . | 
| Category:
             | 
math | 
| . | 
| MSC:
             | 
65F30 | 
| MSC:
             | 
65K10 | 
| MSC:
             | 
93B40 | 
| MSC:
             | 
93B55 | 
| MSC:
             | 
93B60 | 
| MSC:
             | 
93C05 | 
| idZBL:
             | 
Zbl 0613.93021 | 
| idMR:
             | 
MR868027 | 
| . | 
| Date available:
             | 
2009-09-24T17:54:49Z | 
| Last updated:
             | 
2012-06-05 | 
| Stable URL:
             | 
http://hdl.handle.net/10338.dmlcz/124366 | 
| . | 
| Reference:
             | 
[1] A. J. Laub: Survey of computational methods in control theory.In: Electric Power Problems: The Mathematical Challenge (A. M. Erisman et al., eds.), SIAM, Philadelphia 1980, pp. 231-260. Zbl 0461.93026, MR 0606420 | 
| Reference:
             | 
[2] J. H. Wilkinson: The Algebraic Eigenvalue Problem.Clarendon Press, Oxford 1965. Zbl 0258.65037, MR 0184422 | 
| Reference:
             | 
[3] M. M. Konstantinov P. Hr. Petkov, N. D. Christov: A Schur approach to pole assignment problem.Preprints IFAC 8th Congress, Kyoto, Aug. 1981, vol. 11, pp. 1 - 6. MR 0686015 | 
| Reference:
             | 
[4] P. Hr. Petkov M. M. Konstantinov, N. D. Christov: Pole assignment by orthogonal transformations.System Sci. 8 (1982), 85-94; also 7th Internat. Conf. Syst. Sci., Wroclaw, Sept. 1981, Paper C. 77. MR 0773659 | 
| Reference:
             | 
[5] G. S. Miminis, C. C. Paige: An algorithm for pole assignment of time invariant linear systems.Internat. J. Control 35 (1982), 341-354. Zbl 0478.93022, MR 0663644 | 
| Reference:
             | 
[6] P. Hr. Petkov N. D. Christov, M. M. Konstantinov: A computational algorithm for pole assignment of linear single-input systems.IEEE Trans. Automat. Control AC-29 (1984), 1045-1048. MR 0764705 | 
| Reference:
             | 
[7] W. M. Wonham: Linear Multivariable Control: A Geometric Approach.Springer-Verlag, New York 1979. Zbl 0424.93001, MR 0569358 | 
| Reference:
             | 
[8] M. M. Konstantinov P. Hr. Petkov, N. D. Christov: Synthesis of linear multivariable systems with prescribed equivalent form.System Sci. 5 (1979), 381 - 394; also 5th Internat. Conf. Syst. Sci., Wroclaw, Sept. 1978, Paper C 46. MR 0572039 | 
| Reference:
             | 
[9] A. Varga: Numerically reliable algorithm to test controllability.Electron. Lett. 15 (1979), 452-453. MR 0539189 | 
| Reference:
             | 
[10] M. M. Konstantinov P. Hr. Petkov, N. D. Christov: Synthesis of linear system with desired equivalent form.J. Comp. Appl. Math. 6 (1980), 27-35. MR 0568600 | 
| Reference:
             | 
[11] M. M. Konstantinov P. Hr. Petkov, N. D. Christov: Orthogonal invariants and canonical forms for linear controllable systems.Preprints IFAC 8th Congress, Kyoto, Aug. 1981, vol. 1, pp. 50-55. MR 0735802 | 
| Reference:
             | 
[12] M. M. Konstantinov P. Hr. Petkov, N. D. Christov: Invariants and canonical forms for linear multivariable systems under the action of orthogonal transformation groups.Kybernetika 17 (1981), 413-424. MR 0648213 | 
| Reference:
             | 
[13] G. W. Stewart: Introduction to Matrix Computations.Academic Press, New York 1973. Zbl 0302.65021, MR 0458818 | 
| Reference:
             | 
[14] J. J. Dongarra J. R. Bunch C. B. Moler, G. W. Stewart: LINPACK User's Guide.SIAM, Philadelphia 1979. | 
| . |