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arXiv · 1901.04340

A sufficient optimality condition for delayed state-linear optimal control problems

Ana P. Lemos-Paiao·Cristiana J. Silva·Delfim F. M. Torres
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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.

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Ana P. Lemos-Paiao, Cristiana J. Silva, Delfim F. M. Torres. 2019-01-14. A sufficient optimality condition for delayed state-linear optimal control problems. https://doi.org/10.3934/dcdsb.2019096

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