Applied Mathematics and Control Sciences

Periodic boundary value problem for a functional-differential equation with a special deviation of the argument is studied, where is a linear operator, New sufficient conditions for the existence of the solution of the problem are obtained. The case of an ordinary differential equation is discussed. The investigations adjoin the work of the authors.

We study one hybrid systems optimal control problem the Rosser type. An analog of the Pontryagins maximum principle is established. The case of degeneracy (a singular case) of the analog Pontryagins maximum condition is considered.

In many branches of science and technology, as a rule, there is a question of construction and practical application of complex objects and systems, different in physical nature, functional purpose, specific implementation and architecture. Their full automation requires the introduction of such adequate control systems, which would be characterized by the ability to evaluate the unobservable variables of the object, predict the state of the object under specified or selected criteria and automate the synthesis of optimal control strategies.

The problem of counting cars on a highway using standard video surveillance equipment was set and solved with the OpenCV computer vision library. The library made possible to grab each video stream frame in real time and process incoming information. Data processing was performed using a segmented neural network. Accuracy in 70% of correct definition of cars was reached.