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Kucera, Vladimir

Closed-loop stability of discrete linear single-variable systems. (English) Zbl 0283.93042

Kybernetika, Praha 10, 146-171 (1974).

Cited in 3 Documents

MSC:

93D15 Stabilization of systems by feedback
93E10 Estimation and detection in stochastic control theory
94C10 Switching theory, application of Boolean algebra; Boolean functions (MSC2010)
93C55 Discrete-time control/observation systems
93C05 Linear systems in control theory
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References:

[1] E. J. Davison: On pole assignment in linear systems with incomplete state feedback. IEEE Trans. Automat. Control AC-15 (June 1970), 348-350.
[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. · Zbl 0221.93001
[3] F. R. Gantmacher: The Theory of Matrices, Vol. 1. Chelsea, New York 1959. · Zbl 0085.01001
[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. · Zbl 0161.06704 · doi:10.1137/0113034
[6] R. E. Kalman P. L. Falb M. A. Arbib: Topics in Mathematical System Theory. McGraw-Hill, New York 1969. · Zbl 0231.49001
[7] V. Kučera: Algebraic theory of discrete optimal control for single-variable systems I, Preliminaries. Kybernetika 9 (1973), 2, 94-107. · Zbl 0254.49002
[8] V. Kučera: Algebraic theory of discrete optimal control for single-variable systems II, Open-loop control. Kybernetika 9 (1973), 3, 206-221.
[9] V. Kučera: Algebraic theory of discrete optimal control for single-variable systems III, Closed-loop control. Kybernetika 9 (1973), 4, 291-312.
[10] V. Kučera: Algebraic approach to discrete optimal control. To appear in IEEE Trans. Automat. Control. · Zbl 0556.93074
[11] V. Strejc: Teorie lineární regulace. Lecture notes. Technical University, Praha 1970.
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