Asymptotic method for solving a singularly perturbed linear-quadratic optimal control problem with a moving right end of trajectories

The problem of minimizing an integral quadratic functional on the trajectories of a linear singularly perturbed system with linear terminal constraints is considered. Asymptotic approximations are constructed in the form of a program and feedback to the optimal control in this problem. The main advantage of the proposed computational procedures is that, in their implementation, the original problem is decomposed into two unperturbed optimal control problems of lower dimension.