Roberts, A. P. Simpler polynomial solutions in stochastic feedback control. (English) Zbl 0613.93068 Int. J. Control 45, 117-126 (1987). It is known that linear quadratic optimal discrete control problems using polynomial matrix methods necessitate the simultaneous solution of two matrix Diophantine equations. In this paper it is shown that under mild conditions one of these equations can be dispensed with in design resulting in computational simplicity. Reviewer: E.Yaz Cited in 1 ReviewCited in 4 Documents MSC: 93E20 Optimal stochastic control 93C05 Linear systems in control theory 93C55 Discrete-time control/observation systems 11D99 Diophantine equations 93E25 Computational methods in stochastic control (MSC2010) Keywords:linear quadratic optimal discrete control; polynomial matrix methods; matrix Diophantine equations PDF BibTeX XML Cite \textit{A. P. Roberts}, Int. J. Control 45, 117--126 (1987; Zbl 0613.93068) Full Text: DOI OpenURL References: [1] DOI: 10.1080/0020718508961214 · Zbl 0573.93063 [2] KUCERA V., Discrete Linear Control (1979) · Zbl 0432.93001 [3] ROBERTS , A. P. , 1986 , Simpler polynomial solutions in control and filtering . IMA Symp. on Control Theory , Oxford . · Zbl 0635.93018 [4] ROTH W. E., Proc. Am. Math. Soc. 3 pp 392– (1952) 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.