Geodesic
Fixed-point methods in optimization problems for control systems
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Optimal Control, Tome 183 (2020), pp. 22-34.

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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.
Keywords: control system, conditions for improvement and optimality of control, fixed-point problem, numerical optimization algorithms. 
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A. S. Buldaev. Fixed-point methods in optimization problems for control systems. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Optimal Control, Tome 183 (2020), pp. 22-34. http://geodesic.mathdoc.fr/item/INTO_2020_183_a2/

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