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Algebraic theory of discrete optimal control for single-variable systems. I: Preliminaries. (English) Zbl 0254.49002

93-02Research monographs (systems and control)
93C05Linear control systems
93C55Discrete-time control systems
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[1] S. S. L. Chang: Synthesis of Optimum Systems Control. McGraw-Hill, New York 1961.
[2] G. H. Hardy E. M. Wright: An Introduction to the Theory of Numbers. Clarendon Press, Oxford 1960. · Zbl 0086.25803
[3] R. E. Kalman: On the general theory of control systems. Proc. 1st IFAC Congress, Moscow 1960. · Zbl 0112.06303
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[6] {\cyr Sh. Kh. Mikhelovich}: {\cyr Teoriya chisel}. {\cyr Vysshaya shkola, Moskva} 1967. · Zbl 1103.35360 · doi:10.1103/PhysRevLett.19.1095
[7] A. P. Sage: Optimum Systems Control. Prentice-Hall, Englewood Cliffs, N.J. 1968. · Zbl 0192.51502
[8] V. Strejc, al.: Syntéza regulačních obvodů s číslicovým počítačem. NČSAV, Praha 1965.
[9] J. T. Tou: Digital and Sampled-data Control Systems. McGraw-Hill, New York 1959.
[10] O. Zariski P. Samuel: Commutative Algebra, Vol. 1. Van Nostrand, Princeton, N.J. 1958. · Zbl 0081.26501