S-Regular Controlled Plants
- Authors: Nikol’skii M.S.1
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Issue: Vol 29, No 1 (2018)
- Pages: 120-126
- Section: Article
- URL: https://ogarev-online.ru/1046-283X/article/view/247698
- DOI: https://doi.org/10.1007/s10598-018-9394-5
- ID: 247698
Cite item
Abstract
We derive constructive sufficient conditions for linear controlled plants that guarantee a simple structure of the optimal controls in the time-optimal control problem. Strict convexity of the reachability set is proved for S-regular controlled plants. Uniqueness theorems for the optimal control are obtained.
About the authors
M. S. Nikol’skii
Steklov Mathematical Institute of Russian Academy of Sciences
Author for correspondence.
Email: mni@mi.ras.ru
Russian Federation, Moscow
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