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Matrix equations arising in regulator problems. (English) Zbl 0471.15006


MSC:

15A24 Matrix equations and identities
15A99 Basic linear algebra
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References:

[1] S. Barnett: Matrices in Control Theory. Van Nostrand Reinhold, London 1971. · Zbl 0245.93002
[2] F. R. Gantmakher: The Theory of Matrices. Chelsea, New York 1959. · Zbl 0050.24804
[3] V. Kučera: Algebraic theory of discrete optimal control for multivariable systems. Kybernetika 10-12 (1974-76), 1-240. Published in installments. · Zbl 0254.49002
[4] V. Kučera: Algebraická teorie diskrétního lineárního řízení. Academia, Praha 1978.
[5] V. Kučera: Discrete Linear Control - The Polynomial Equation Approach. Wiley, Chichester 1979.
[6] V. Kučera: Steady-state minimum-variance discrete control. Problems of Control and Information Theory 8 (1979), 2, 123-135. · Zbl 0422.93103
[7] V. Kučera M. Šebek: Linear optimal dynamic regulators. Problems of Control and Information Theory 70 (1981), 3. · Zbl 0471.93041
[8] C. C. MacDuffee: The Theory of Matrices. Chelsea, New York 1946. · Zbl 0007.19507
[9] M. Newman: Integral Matrices. Academic, New York 1972. · Zbl 0254.15009
[10] W. E. Roth: The equation AX - YB = C and AX - XB = C in matrices. Proc. Amer. Math. Soc. 3 (1952), 392-396. · Zbl 0047.01901 · doi:10.2307/2031890
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