On Some Problems of Optimum Control of Informational Interaction of a Space Vehicle with the Surface of the Earth

The article discusses a number of problems of space cybernetics connected with the optimum process control of informational interaction of  a spacecraft with the surface of the Earth. A spacecraft is regarded  as an informational active mobile plant, i.e. as a complicated mobile system supplied with necessary devices for the realization of informational interaction with the enclosing physical medium and the corresponding necessary onboard resource. It is shown that these problems are reduced to the problems of optimum programmed control by some special differential dynamic system in a Hilbert space of conditions. For a solution of the specified problems, the paper uses L.S. Pontrjagin's expanded maximum principle and the general concept of Lagrange.