Some approaches to solve feedback control problems for nonlinear dynamic systems

Optimal feedback control problems for objects described by ordinary differential equations systems on the class of zonal control functions involving uncertain information on the values of these objects´ initial conditions and parameters are investigated in the work. Zonal values of the controls are optimized in the problem considered. Formulas for the gradient of the target functional are derived. These formulas allow solving the problem numerically using efficient first order optimization methods. Results of numerical experiments carried out by the example of solution to model problems are given.