The Similar Structures and Control Problems of Complex Systems

1 Introduction1 We consider the naturally evolving complex systems, such as biotic and social systems. In their evolving process, they always make up their weaknesses and develop their favorable factors. In such a way, their structures are gradually formed. In the structures of these systems, a feature is noteworthy, i.e., the local(partial) structure is similar to the global(overall). For social systems, for instance, in a country, the management organization of a province is similar to tha…

The Similar Structures and Control Problems of Complex Systems

In this paper,the naturally evolving complex systems,such as biotic and social ones,are considered,Focusing on their structures,a feature is noteworkthy,i.e.,the similarity in structures.The relations between the functions and behaviors of thse systems and their similar structures will be studied.Owing to the management of social systems and the course of evolution of biotic systems may be regarded as control processes,the researches will be within the scope of control problems.Moreover,since it is difficult to model for biotic and social systems,it will start with the control problems of complex systems,possessing similar structures,in engineering.The obtained reults show that for either linear or nonlinear systems and for a lot of control problems similar structures lead to a series of simplifications,In general,the original system may be decomposed into reduced amount of subsystems with lower dimensions and simpler structures.By virtue of such subsystems,the control problems of original system can be solved more simply.