Roberts, A. P. Simpler polynomial solutions in control and filtering. (English) Zbl 0635.93018 IMA J. Math. Control Inf. 3, 311-321 (1986). V. Kučera’s [Discrete linear control. The polynomial equation approach (1979; Zbl 0432.93001)] completely algebraic method is used to derive a polynomial solution with only one Diophantine equation for least-squares deterministic control in discrete-time. The same method is used, again involving only one Diophantine equation, to derive the multivariable discrete-time Wiener filter. Cited in 3 Documents MSC: 93B25 Algebraic methods 11D99 Diophantine equations 93C55 Discrete-time control/observation systems 93C35 Multivariable systems, multidimensional control systems 93C05 Linear systems in control theory 93E11 Filtering in stochastic control theory Keywords:polynomial solution; least-squares deterministic control; multivariable discrete-time Wiener filter Citations:Zbl 0432.93001 PDFBibTeX XMLCite \textit{A. P. Roberts}, IMA J. Math. Control Inf. 3, 311--321 (1986; Zbl 0635.93018) Full Text: DOI