Stabilization of stationary controlled system motion

A.S.Andreev

Ulyanovsk State University

42, L.Tolstoi str., Ulyanovsk, 432970, Russia

In the solution of a number of problems on optimal stabilization of motion of controlled system the optimal Lyapunov function is not definitely positive. There arises urgent problem of realization of researches on to application of constant-positive Lyapunov function to problems on stabilization. In the work there are submitted the results on application of constant-positive Lyapunov function to a problem on a guaranteed estimation of quality of transitive process, including, at restrictions on control. The general theorems are illustrated on an example of the solution of a problem on stabilization of a position of balance of a mathematical pendulum.