THE STABILITY OF SOLUTION OF PURSUIT-EVASION TO SEVERAL GOAL SETS GAME PROBLEM FOR SYSTEMS WITH VARYING DYNAMICS

Abstract

Conditions are obtained by which the solutions in the case of several goal sets and the systems with varying dynamics are stable with respect to informational disturbance. The stability of solution of pursuit-evasion to m goal sets game problem is analyzed when the object follows a system of nonlinear nonstationary differential equations with varying dynamics. So the dynamic of the system is changing step by step. The sequence of meetings with the goal sets is fixed. The moments of systems switching are assumed to be constant values. A family of u-stable bridges is constructed. A piecewise positional strategy extremal to that family and the theorem about the solution's stability with respect to informational disturbance of the pursuit-evasion to one goal set game problem, proved by N.N. Krasovskii, are applied. Conditions are obtained by which the solutions are stable with respect to informational disturbance.