Email this article Bang-Bang Theorem for a Coupled ODE-PDE Control System
- Authors: Pogodaev N.I.1
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Affiliations:
- Matrosov Institute for System Dynamics and Control Theory SB RAS
- Issue: Vol 239, No 2 (2019)
- Pages: 146-158
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242644
- DOI: https://doi.org/10.1007/s10958-019-04298-7
- ID: 242644
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Abstract
An optimal control problem for a system of one dimensional hyperbolic conservation laws is considered. The system is controlled through the boundary condition, which depends on the state of a nonlinear control system. It is proven that the problem has an optimal solution; moreover, it admits ε-optimal solutions generated by bang-bang controls. Bibliography: 8 titles. Illustrations: 1 figure.
About the authors
N. I. Pogodaev
Matrosov Institute for System Dynamics and Control Theory SB RAS
Author for correspondence.
Email: n.pogodaev@icc.ru
Russian Federation, 134, Lermontov St., Irkutsk, 664033
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