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Zbl 0678.93063
Elsayed, A.; Grimble, M.J.
A new approach to the $H\sb{\infty}$ design of optimal digital linear filters. (English)
[J] IMA J. Math. Control Inf. 6, No.2, 233-251 (1989). ISSN 0265-0754; ISSN 1471-6887/e

Summary: A novel approach to the solution of the $H\sb{\infty}$ estimation problem is developed. The solution is arrived at by embedding the problem within a fictitious mathematically equivalent $\ell\sb 2$ framework in which a stable prefilter is introduced at the input of each noise source. The development is straightforward and relies on a polynomial system technique. Two numerical examples are presented to demonstrate the proposed approach.

MSC 2000:: *93E11 Filtering in stochastic control
93E10 Estimation and detection in stochastic control
46J15 Banach algebras of differentiable functions

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Zentralblatt MATH Berlin [Germany]