Synthesis of structures of complex dynamic systems by the method of functional structural numbers (Q1386949)

The most popular approach to the synthesis of structures of complex dynamic systems in engineering is based on the experience gained by developers. A related approach is warranted for dynamic systems with control objects that, first, have a comparatively simple structure and, second, undergo unessential changes during their development. Currently, one can set off two key approaches to a description of problems and methods of analysis and synthesis of complex dynamic systems: (1) those which are based on the use of the classical operator-frequency methods, (2) those which use equations in state space. It is common knowledge that these methods of description of automatic-control systems (ACS) in graph theory are associated with a graphic representation of a system in the form of a directed graph (digraph) of signals and a digraph of signals and states, respectively. The merits of the first approach are simplicity and clearness, and also the possibility of a description of dynamic properties of ACSs at the level of subsystems, elements, and connections. This leads to a widespread use of this approach in engineering. The second approach most fully reflects the inner structure of a dynamic system. Thus, the problem of development of a new formalized approach to a choice of structures is topical; the approach should combine the merits of both forms of description of systems and allow one to purposefully build up the structure of a system in accordance with the criteria chosen. To solve this problem, the authors propose a method for representation of structures of dynamic systems in the form of functional structural numbers (FSNs) which carry information on the structure of a dynamic system independently of its method of description.