Closed-Loop Differential Games

The object of this report is closed-loop differential games which are a formalization of problems in dynamics related to control in presence of uncertainty or conflict. Under the game-theoretic approach to the problem we assume that the uncontrollable factors may appear to be most unfavourable from the point of view of one or the other criterion, important for the evaluation of the process. Thus a game is formed in between our ally, who selects the control in pursuing the one or the other aim and the antagonist who governs the disturbances. The given report contains some conclusions accumulated and summarized by some research members of our Institute [1]. Naturally, our results are closely related to those of other authors. However the framework of this report does not enable us to produce a bibliography.