PROGRAM MOTION STABILIZATION METHODS

E.V. Voskresensky, T.F. Mamedova
VANT. Ser.: Mat. Mod. Fiz. Proc 2002. Вып.4. С. 45-54.

The problems of system controllability and program motion stabilization are the most important ones in a theory of automatic control. It is well known that a great number of various types of controllability in finite time are available. V.I. Zubov, N.N. Krasovsky et al. consider the concept of a controlled system in infinite time. In this case a moving point from certain time on enters -neighborhood of a finite point and does not leave it with all t T. It is the requirement not to leave some point neighborhood that occurs in many problems of celestial mechanics. Program motion is a motion equation solution at concrete value of control. The problem on the solution stabilization is of crucial importance here. In this case one should select such a control function that is able to make the solution stable in one sense or another. These problems have been solved in this paper.

---