Game control of air strikes against a recoverable ground facility

Abstract

The current task is dedicated to the problem of developing minimax game control in pure strategies when two enemies (an aviation group and a repair team) act against each other. The first one destroys an object and the second one repairs it. The algorithm of optimal controlling process based on the average risk criterion does not guarantee a result of the governance. It happens because of both enemies observe and conduct the object’s structure. Optimal solutions are based on the Systems theory with a random jumping structure and the Game theory too. The controlled object is described by dynamic stochastic system with a random jumping structure which has a finite number of possible states. Transitions from one state to another occur at random moments of time and they are controlled by two warring parties (the aviation group and the repair team) pursuing strictly opposite goals. State changing process of the object’s structure is assessed by indicators of players which are worked with errors. Some kind of object’s state functionality is a criterion for the optimality of controlling processes. One party seeks to minimize it and the other one seeks to maximize it. Players control the object’s structure in clean strategies applying the final number of possible strategies. The optimal controlling processes are among the class of non-stochastic mathematical dependencies on the observations results which are preceded the current moment.