Modified Gradient Method for K-positive Operator Models for Unmanned Aerial Vehicle Control

The application of a modified gradient method to models with a K-positively defined K-symmetric operator with low nonlinearity for unmanned aerial vehicle control problems is considered. The theorem on the convergence of this method is proved in the article. The estimates obtained in the theorem characterize the rate of convergence of the method. The application of the modified gradient method to nonlinear models is reduced to solving a system of linear equations. The modified gradient method allows to study a wider class of unmanned aerial vehicles control models.