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

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