| Issue |
ESAIM: COCV
Volume 25, 2019
|
|
|---|---|---|
| Article Number | 74 | |
| Number of page(s) | 36 | |
| DOI | https://doi.org/10.1051/cocv/2018064 | |
| Published online | 05 December 2019 | |
Turnpike properties of optimal relaxed control problems★
1
School of Mathematical Sciences, and LMNS, Fudan University,
Shanghai
200433, P.R. China.
2
Mathematics & Science College, Shanghai Normal University,
Shanghai
200234, P.R. China.
Received:
7
November
2017
Accepted:
11
November
2018
In this paper, three kinds of turnpike properties for optimal relaxed control problems are considered. Under some convexity and controllability assumptions, we obtain the uniform boundedness of the optimal pairs and the adjoint functions. On the basis, we prove the integral turnpike property, the mean square turnpike property and the exponential turnpike property, respectively.
Mathematics Subject Classification: 49J15 / 49K15
Key words: Turnpike property / relaxed control / maximum principle
© EDP Sciences, SMAI 2019
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