Conjugated and symmetric polynomial equations. II: Discrete-time systems. (English) Zbl 0556.93044

[For part I, see ibid. 19, 121-130 (1982; Zbl 0527.93046).] - This paper investigates the properties of conjugated and symmetric polynomial equations which occur in the synthesis of discrete quadratically optimal controllers.


93C55 Discrete-time control/observation systems
12E12 Equations in general fields
13F15 Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial)
93C05 Linear systems in control theory


Zbl 0527.93046
Full Text: EuDML


[1] Z. Vostrý: New algorithm for polynomial spectral factorization with quadratic convergence I. Kybernetika 11 (1975), 6, 415-422. · Zbl 0333.65023
[2] J. Ježek: Symmetric polynomial equations. I: Continuous-time systems. Kybernetika 19 (1982), 2, 121-130.
[3] V. Kučera: Discrete Linear Control - The Polynomial Equation Approach. Academia, Prague 1979.
[4] J. Ježek: New algorithm for minimal solution of linear polynomial equations. Kybernetika 18 (1982), 6, 505-516.
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