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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
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Category: math
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MSC: 65F30
MSC: 65K10
MSC: 93B40
MSC: 93B55
MSC: 93B60
MSC: 93C05
idZBL: Zbl 0613.93021
idMR: MR868027
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Date available: 2009-09-24T17:54:49Z
Last updated: 2012-06-05
Stable URL: http://hdl.handle.net/10338.dmlcz/124366
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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.
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