SG-DYNAMICAL MODELS FOR NON-EQUILIBRIUM THERMODYNAMIC SYSTEMS
Alexander Fradkov, Tatiana Khantuleva, Dmitry Shalymov
The evolution of a system is investigated on the basis of the SG-algorithm which describes the fastest way to achieve the goal function. System’s full entropy production is chosen as a goal function which has to be maximized. The rates of the structure scale characteristics are chosen as the control parameters. Transforming its internal structure, the system minimizes its irreversible losses and contains information about the history of the imposed external loading. Rayleighs problem is considered as demo example. It is shown that mathematical model accounting the parameters of the internal structure scales with feedbacks between the structure evolution and flow fields can describe the laminar-turbulent transition.