Approximate control optimization based on transformation of object model

It is considered an approach to approximate solving of control problems using different simplifying transformation of object model based on principles of extension or contraction of searching area and possible schemes of its realization. This approach focuses on getting, generally speaking, of a rough approximation to a global solution with two-sided estimation. Main attention focused on effective non-traditional schemes of continuous system velocity set transformation and discrete system transition set transformation. The obtained global approximate solutions can be considered as initial approximations in various iterative optimization procedures to be improved.