On a supplement to the stability property in differential games

On the stability property in positional differential games

“…Here, minimality is understood in the sense that there are no subfamilies satisfying A.1-A.4. Examples of con flict control systems (1) for which such families can be constructed were given in [11]. For we define (6) which is called the stability defect of the path W* at the time .…”

“…The compact set ᐃ* ⊂ containing the path W* is defined as Theorem 2 [11]. ᐃ* is a u stable bridge in the prob lem of intercept of the set by system (1) at the time .…”

“…To evaluate the degree of instability of such sets, the con cept of stability defect was introduced in [10]. Below, we develop the results of [11]. Specifically, it is shown how the stability defect can be used to estimate the neighborhood of the target set of the game problem that the first player guarantees the conflict control sys tem reaches.…”