Institute of Problems Informatic and Control of Ministry sciences – Academic sciences Republic of Kazakhstan 480100, Republic of Kazakhstan, Almatu, st. Pushkina, 125,

e-mail: LNS@ipic.academ.alma-ata.su

Problem a research of dynamic of attraction of properties in root-mean square multi-dimensional of automatic control system to cone type set basic stochastic analog of direct Lyapunov’s method [1] and Razumikhin approach [2].

In present work a research of dynamic of attraction properties in root-mean square multi-dimensional, stochastic of control system by the limited to cone type set used stochastic analog of direct Lyapunov’s method and Razumikhin approach. The received the theorem about presence the foregoing of dynamic property.