On the stabilizability of two-dimensional linear systems with locally integrable coefficients and observer

Abstract

The system of the asymptotic measure of condition for the two-dimensional linear non-stationary control system and observer has been constructed in the assumption of Lebesgue locally integrability and integrally boundness of its coefficients on a positive semi-axis, sufficient conditions of the uniform stabilizability of the asymptotic identificator and with it of the two-dimensional linear system with locally integrable and integrally bounded coefficients and observer has been obtained in this report.