Multiprogrammed stabilization of the equilibrium positions of the quasi-linear time-invariant systems

In present work, the problem of multiprogrammed stabilization of the equilibrium positions for a quasi-linear system is considered. The equilibrium positions are very important (from the viewpoint of dynamic object simulation) functioning regimes of any dynamic system. The multiprogrammed controls which realized these regimes are constrained as the Hermit's interpolating polynomials. In the paper, the theorem on sufficient conditions of the multiprogrammed stabilized control existence is proved and the illustrative example is given.