Minimax estimation methods under ellipsoidal constraints

Minimax estimation methods under ellipsoidal constraints

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Article ID: iaor20132727
Volume: 74
Issue: 4
Start Page Number: 642
End Page Number: 659
Publication Date: Apr 2013
Journal: Automation and Remote Control
Authors: ,
Keywords: programming: linear
Abstract:

We consider the minimax estimation problem in a linear observation model under ellipsoidal constraints on the vector of unknown parameters. To solve the problem, we use dual optimization and semidefinite programming methods. The developed algorithms are applied to constructing motion parameter estimates for a maneuvering flying vehicle under constraints on the acceleration vector.

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