Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/25690
Title: | A sufficient optimality condition for delayed state-linear optimal control problems |
Author: | Lemos-Paião, Ana Pedro Silva, Cristiana J. Torres, Delfim F. M. |
Keywords: | Delayed optimal control problems Delayed state-linear control systems Time delays in state and control variables Sufficient optimality condition Augmented problem |
Issue Date: | May-2019 |
Publisher: | American Institute of Mathematical Sciences |
Abstract: | We give answer to an open question by proving a sufficient optimality condition for state-linear optimal control problems with time delays in state and control variables. In the proof of our main result, we transform a delayed state-linear optimal control problem to an equivalent non-delayed problem. This allows us to use a well-known theorem that ensures a sufficient optimality condition for non-delayed state-linear optimal control problems. An example is given in order to illustrate the obtained result. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/25690 |
DOI: | 10.3934/dcdsb.2019096 |
ISSN: | 1531-3492 |
Publisher Version: | http://dx.doi.org/10.3934/dcdsb.2019096 |
Appears in Collections: | CIDMA - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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[431]Lemos-Paiao_Silva_Torres-DCDS-B.pdf | 471.3 kB | Adobe PDF |
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