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Title: Matrix equations arising in regulator problems (English)
Author: Šebek, Michael
Author: Kučera, Vladimír
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 17
Issue: 2
Year: 1981
Pages: 128-139
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Category: math
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MSC: 15A24
MSC: 15A99
idZBL: Zbl 0471.15006
idMR: MR624205
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Date available: 2009-09-24T17:19:50Z
Last updated: 2012-06-05
Stable URL: http://hdl.handle.net/10338.dmlcz/124762
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Reference: [1] S. Barnett: Matrices in Control Theory.Van Nostrand Reinhold, London 1971. Zbl 0245.93002, MR 0364275
Reference: [2] F. R. Gantmakher: The Theory of Matrices.Chelsea, New York 1959.
Reference: [3] V. Kučera: Algebraic theory of discrete optimal control for multivariable systems.Kybernetika 10-12 (1974-76), 1-240. Published in installments. MR 0527882
Reference: [4] V. Kučera: Algebraická teorie diskrétního lineárního řízení.Academia, Praha 1978.
Reference: [5] V. Kučera: Discrete Linear Control - The Polynomial Equation Approach.Wiley, Chichester 1979. MR 0573447
Reference: [6] V. Kučera: Steady-state minimum-variance discrete control.Problems of Control and Information Theory 8 (1979), 2, 123-135. MR 0533927
Reference: [7] V. Kučera M. Šebek: Linear optimal dynamic regulators.Problems of Control and Information Theory 70 (1981), 3. MR 0624377
Reference: [8] C. C. MacDuffee: The Theory of Matrices.Chelsea, New York 1946.
Reference: [9] M. Newman: Integral Matrices.Academic, New York 1972. Zbl 0254.15009, MR 0340283
Reference: [10] W. E. Roth: The equation AX - YB = C and AX - XB = C in matrices.Proc. Amer. Math. Soc. 3 (1952), 392-396. MR 0047598
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