Hunt, K. J.; Šebek, M.; Grimble, M. J. Optimal multivariable LQG control using a single diophantine equation. (English) Zbl 0635.93021 Int. J. Control 46, 1445-1453 (1987). The authors derive conditions under which the solution of LQG optimal control problem via polynomial equations can be obtained by a single one- sided matrix polynomial equation [in general two two-sided equations have to be solved, see V. Kučera, Discrete linear control (1979; Zbl 0432.93001)]. The implications of this result to compensation and selftuning control are discussed. Reviewer: P.Brunovsky Cited in 11 Documents MSC: 93B25 Algebraic methods 93C05 Linear systems in control theory 93C40 Adaptive control/observation systems 93E20 Optimal stochastic control Keywords:LQG optimal control problem; polynomial equations; compensation; selftuning control Citations:Zbl 0432.93001 PDF BibTeX XML Cite \textit{K. J. Hunt} et al., Int. J. Control 46, 1445--1453 (1987; Zbl 0635.93021) Full Text: DOI OpenURL References: [1] DOI: 10.1016/0005-1098(84)90016-5 · Zbl 0552.93042 [2] KUCERA V., Discrete, Linear Control (1979) [3] DOI: 10.1080/00207178708933714 · Zbl 0613.93068 [4] ŠEBEK , M. , 1981 , Ph.D. thesis , Czechoslovak Academy of Sciences . This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.