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Simpler polynomial solutions in control and filtering. (English) Zbl 0635.93018

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.

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

Citations:

Zbl 0432.93001
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