About comparison system

in control problem of a stochastic object with delay

E.T.Ayaganov

Institute for Problems of Informatics and Control of MES of RK

e-mail: Ayaganov@mail.ru

In the article we offer the procedures of construction of two kinds comparison systems for a multi-dimensional nonlinear automatic control system of a stochastic object with delay. The basis of the suggested procedures is a method of comparison with Lyapunov's vector function (VFL), methods of decomposition and aggregating, the Razumikhin method, with using scalar-optimization functions. For the realization the procedures require evaluating only using explicit formulas and solving of nonlinear programming problems.