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Kučera, Vladimír
Closed-loop stability of discrete linear single-variable systems. (English). Kybernetika, vol. 10 (1974), issue 2, pp. (146)-171
MSC: 93C05, 93C55, 93D10, 93D15, 93E10, 94C10 | MR 0343976 | Zbl 0283.93042
References:
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[2] R. Foulkes S. K. Mitter: Controllability and pole assignment for discrete time linear systems defined over arbitrary fields. SIAM J. Control 9 (1971), 1, 1-8. MR 0290826
[3] F. R. Gantmacher: The Theory of Matrices, Vol. 1. Chelsea, New York 1959. MR 1657129
[4] C. D. Johnson: Stabilization of linear dynamical systems with output feedback. Proc. 5-th IFAC Congress, Paris, June 1972.
[5] R. E. Kalman: Irreducible realizations and the degree of a rational matrix. J. Soc. Indust. Appl. Math. 13 (1965), 2, 520-544. MR 0182479 | Zbl 0161.06704
[6] R. E. Kalman P. L. Falb M. A. Arbib: Topics in Mathematical System Theory. McGraw-Hill, New York 1969. MR 0255260
[7] V. Kučera: Algebraic theory of discrete optimal control for single-variable systems I, Preliminaries. Kybernetika 9 (1973), 2, 94-107. MR 0337400
[8] V. Kučera: Algebraic theory of discrete optimal control for single-variable systems II, Open-loop control. Kybernetika 9 (1973), 3, 206-221. MR 0337401
[9] V. Kučera: Algebraic theory of discrete optimal control for single-variable systems III, Closed-loop control. Kybernetika 9 (1973), 4, 291-312. MR 0337402
[10] V. Kučera: Algebraic approach to discrete optimal control. To appear in IEEE Trans. Automat. Control.
[11] V. Strejc: Teorie lineární regulace. Lecture notes. Technical University, Praha 1970.
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