Positional strategies in fractional order differential games

Abstract Problems of the branch mathematics called differential games, which today find their versatile applications in physics and engineering, are devoted to construction chase control when states object known only at given times advance. Sufficient conditions for possibility completing pursuit sense hitting a small neighborhood terminal set obtained. A method is indicated constructing positional strategy pursuer that infers trajectory by time determined first direct theory games. In this case, chasing party cannot use fleeing player’s build its control; therefore, according condition problem, chaser builds if it knows state