<p> Differential Dynamic. Programming is a new method, based on Bellman's principle of optimality, for determining optimal control strategies for nonlinear systems. It has originally been developed by D.H.Jacobson. </p> <p> In this thesis a result is presented for a problem with saturation characteristics in nonlinearity solved by the Jacobson's approach. In the differential dynamic programming the principle of optimality is applied to the differential change in non-optimal cost due to small changes in state; variables instead of the cost itself. This results in modest memory requirements for its defining parameters and rapid convergence. </p> / Thesis / Master of Engineering (MEngr)

The work is focused on the composition of the atmosphere, the processes that take place in it, especially on the formation of atmospheric ions and the energy that must be supplied to ionize the gas. The work examines the influence of aerosol particles on the concentration of ions and also how air ions influence the human health. Last but not least, there is mentioned a comparison of the possibilities of artificial air ionization for interiors.