DIFFERENTIAL l-CATCH AND l-ESCAPE GAMES IN THE CASE OF NON-STATIONARY GEOMETRIC CONSTRAINTS ON CONTROLS

This paper is devoted to the l-catch and l-escape differential games with two players, called pursuer and evader, whose controls adhere to non-stationary geometric constraints of various types. Such problems are quite relevant for the processes where the rates of control parameters fluctuate consistently during the time. First, the pursuit problem is discussed and a pursuer strategy guaranteeing the l-catch is defined using the method of Chikrii’s resolving functions. Then, the evasion problem is dealt with by means of a specific control function of evader.