Global identification of complex static systems with hierarchical structure: Deterministic problem

Abstract

The paper deals with a deterministic case of the identification problem of static complex systems with hierarchical structure, in which the globally optimal model of the whole system as a hierarchical configuration of models of individual subsystems is obtained The considerations are confined to hierarchical complex systems, in which (a) subsystems belonging to the same levels arc not interconnected (b) the individual subsystems can be connected through their outputs only with the others from lower levels Moreover only the hierarchical systems without, external factors (e.g. external controls) affecting particular subsystems (except for the subsystem from the highest level) are examined It. is shown that for some global identification quality criteria, some structures of interconnections between individual subsystems in the system identified, and for some forms of models assumed for individual subsystems, the problem considered can be reduced to several identification problems of complex systems with casc...