Engineering control and recent developments in sciences

In the past century there has been an explosion of fundamental scientific discoveries including new notions of chaos and complexity. As a result the problem of adequacy of classical continuum mathematics to fundamental and applied sciences became popular. Typical solutions of the problems are based on corrections in the dyad mathematics - reality for the components of the dyad. The presentation gives a review of a different approach developed recently by a group of specialists in mathematics, physics, mechanics, engineering, and control. The idea is to put adjustments on shoulders of a new type of control based on Kolmogorov Complexity.