This article is cited in 2 papers

Differential equations

The dependence of the time-optimal control problem for a linear system of the small parameters

A. R. Danilin^ab, O. O. Kovrizhnykh<sup>ab

a</sup> Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
^b Institute of Mathematics of the Ural Branch of RAS

Abstract: A time-optimal control problem is considered for a linear system with fast and slow variables and geometric constraints on the control and independent small perturbation of the initial data. The solvability of this problem is prooved. For the optimal time and optimal control, the dependence of these small parameters is investigated.

Keywords: optimal control, time-optimal control problem, singular perturbation problems, small parameter.