Application of the Gradient Projection Method to the Problem of Sensors Arrangement for Counteraction to the Evasive Object

The paper is devoted to the optimization of counteraction to an object evading detection by stationary sensors in a threat environment. It is assumed that the evading object moves optimally between two given points. Placement of sensors in a given rectangle between start and finish points is required so as to maximize the minimum possible value of the risk functional for the evasive object. The problem is analyzed using a combination of optimal control and gradient methods. The results of numerical simulations for the case of arranging three sensors in different rectangles are presented.