Zhuk S. Guaranteed estimations in linear descriptor systems

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0406U002735

Applicant for

Specialization

  • 01.05.04 - Системний аналіз і теорія оптимальних рішень

15-06-2006

Specialized Academic Board

Д26.001.35

Essay

Essential results of this paper in case of general convex weak-compact bounding sets are the following: new approach to guaranteed estimation, based on linear mappings theory and convex analysys, minimax error finiteness criteria, sufficient condition for Kalman duality, necessary and sufficient condition for the guaranteed estimations existence. Some relations between a-priori and a-posteriori estimations were established. It is suggested the procedure for recursive calculation ofminimax a-posteriori estimation in case of quadratic bounding sets.

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