THE APPLICATION OF NASH GAME FOR DETERMINE OF CONTROLLING MULTIDIMENSIONAL OBJECTS

The article presents the approach of decentralization of calculations related to the synthesis of controlling through division of an optimalization problem into lesser dimensionality subproblems. Applied was differential Nash game for objects of serial structure. The main idea of the method is to assign individual functionals of quality to subobjects and conduct the synthesis of regulators in a sequential way, beginning with the first subobject. Thanks to the sequential structure of the object it is possible to obtain a solution by decentralized optimizations