Second variation of trajectory of a controlled dynamical system
An integral representation for the second variation of trajectory of a dynamical system under control is obtained. This representation contains some tensor of the third rank introduced here. A differential equation for this tensor is presented. A second order method for solution of the optimal control problem based on the second variation of a trajectory is proposed.
CYBERNETICS AND PHYSICS, Vol. 7, No. 4. 2018, 188-194. https://doi.org/10.35470/2226-4116-2018-7-4-188-194