Email this article A Control Problem with a Partially Known Initial Condition
- Authors: Nikol’skii M.S.1
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Affiliations:
- Steklov Mathematical Institute of the Russian Academy of Sciences
- Issue: Vol 28, No 1 (2017)
- Pages: 12-17
- Section: Article
- URL: https://journals.rcsi.science/1046-283X/article/view/247553
- DOI: https://doi.org/10.1007/s10598-016-9341-2
- ID: 247553
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Abstract
We consider a linear control problem with a partially known initial condition. Kalman’s observability theory of linear controlled system is applied to derive constructive sufficient conditions under which the control process to attain a terminal set M can be decomposed into the following stages: first collect information on system output, then apply this information to reconstruct the system’s initial state, and finally proceed with active control to attain the terminal set M.
About the authors
M. S. Nikol’skii
Steklov Mathematical Institute of the Russian Academy of Sciences
Author for correspondence.
Email: mni@mi.ras.ru
Russian Federation, Moscow
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