Abstract
In this paper, we consider a new approach to optimization of nonlinear control systems based on the representation of optimality conditions and improvement of the control in the form of special fixed-point problems for control operators. We propose algorithms for approximate solution of optimal control problems based on iterative methods for finding fixed points. The effectiveness of the optimization methods proposed is illustrated by model and test problems.
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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 183, Differential Equations and Optimal Control, 2020.
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Buldaev, A.S. Fixed-Point Methods in Optimization Problems for Control Systems. J Math Sci 279, 594–606 (2024). https://doi.org/10.1007/s10958-024-07041-z
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DOI: https://doi.org/10.1007/s10958-024-07041-z
Keywords and phrases
- control system
- conditions for improvement and optimality of control
- fixed-point problem
- numerical optimization algorithms