A. R. Danilin, O. O. Kovrizhnykh, “Asymptotic representation of a solution to a singular perturbation linear time-optimal problem”, Trudy Inst. Mat. i Mekh. UrO RAN, 2012, Volume 18, Number 2,Pages <nobr>67

This article is cited in 5 papers

Asymptotic representation of a solution to a singular perturbation linear time-optimal problem

A. R. Danilin^ab, O. O. Kovrizhnykh^ab

^a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
^b Ural Federal University

Abstract: A time-optimal control problem is considered for a linear system with fast and slow variables and smooth geometric constraints on the control. An asymptotic expansion of the optimal time up to the second order of smallness is constructed and validated.

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

UDC: 517.977

Received: 20.12.2011