On a class of optimal control problems with an almost cost-free solution

1 April 1982

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control

Vol. 27 (2) , 441-445
https://doi.org/10.1109/tac.1982.1102908

Abstract

For a class of linear singular optimal control problems with a nonunique singular arc, the solution of the corresponding nearly singular problem is analyzed and a limit solution based on formal singular perturbations is derived. A rigorous proof of the correctness of the result is given by constructing a convergent power series satisfying the Riccati equation of the nearly singular problem.

Keywords

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