International Scientific Journals
of Scientific Technical Union of Mechanical Engineering "Industry 4.0"

Over the last two decades, polymer electrolyte membrane fuel cell technology has been increasing its share in power generation systems. In this work, the basic polymer electrolyte membrane fuel cell (PEMFC) system operation is presented first. Some most controloriented modeling approaches are reviewed as the model is essential for further control. Optimal control of such a system can improve efficiency and hence reduce the cost of ownership. The objective of this work is to present the concept of control and depict some of the possible applications of PEMFC systems

Mathematical models of evolutionary processes on the network and setepodobnoj area. The method, which applies to many tasks of optimal control of differential systems, the status of which is defined by the weak solutions of evolutionary equations of mathematical physics on networks and setepodobnyh areas. This method is very common and is applicable to a wide class of linear tasks that have an interesting analogy with also multi-phase tasks of mechanics (in particular, the theory of plasticity). The results obtained in this manner for a specific equation with distributed parameters in the setepodobnoj area, serve not only to demonstrate the method, but also of interest to applications.

One of the most effective methods for solving optimal control problems with mixed constraints is a continuation method for optimal trajectories. This method, unlike the direct methods, allows you to track the qualitative features of the behavior of optimal trajectories, which is especially important when solving applied tasks.

We study the problem of maximizing the volume of three-dimensional body bounded by the surface, which can be transformed submetricaly. In this paper we are proposed the reduction of this problem to the optimal control problem.