Guaranteed Estimations for Linear Difference Descriptor Systems

Details Guaranteed Estimations for Linear Difference Descriptor Systems Guaranteed Estimations for Linear Difference Descriptor Systems

2006-09-25

arxiv.org/abs/math/0609709v1

Mathematics

Optimization and Control

4 pages, 1 figure

Scientific paper

This paper is devoted to guaranteed estimation (so-called minimax estimation) of linear functions, defined on the solutions domain of the linear descriptor difference equations (LDDE) system, where right-hand part and initial condition are arbitrary elements of the given set. Minimax estimations are build on the basis of system's state observation with unknown deterministic noise. Minimax filtration task is studied for LDDE system with special structure.

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