Perturbation Methods for Maximum Principle in Optimal Control Problems
Authors
Buldaev A.S., A.S. Buldaev, I.D. Burlakov, V.D. Anakhin
Corresponding Author
Buldaev A.S.
Available Online January 2019.
- DOI
- 10.2991/mmssa-18.2019.27How to use a DOI?
- Keywords
- optimal control problem; conditions of the maximum principle; perturbation methods
- Abstract
Iterative methods for searching of extreme controls (satisfying the maximum principle), which are based on the theory and methods of perturbation of necessary conditions for optimality, are suggested. The methods are characterized by computationally stable alternating solution of phase and conjugate systems of variables and the absence of labor-intensive operations of convex or needle variation of the improving control.
- Copyright
- © 2019, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Buldaev A.S. AU - A.S. Buldaev AU - I.D. Burlakov AU - V.D. Anakhin PY - 2019/01 DA - 2019/01 TI - Perturbation Methods for Maximum Principle in Optimal Control Problems BT - Proceedings of the 2018 International Conference on Mathematics, Modeling, Simulation and Statistics Application (MMSSA 2018) PB - Atlantis Press SP - 113 EP - 116 SN - 1951-6851 UR - https://doi.org/10.2991/mmssa-18.2019.27 DO - 10.2991/mmssa-18.2019.27 ID - A.S.2019/01 ER -