Laws of Information in Decentralized Control Systems

This paper deals with the laws of information in decentralized control systems. In the case of decentralized control of complex systems, often referred to hierarchical systems, theoretically analyze the possibility of using an n-dimensional information theory to deal with such systems. N-dimensional information theory is an interesting tool to deal with these systems. On the basis of information theory the partition laws of information rates are listed. These laws are fundamental requirements for complex systems that must be met and by their quantification one can be able to compare these complex control systems and track how different parts of the system communicate and collaborate with others, etc. In the final section the deterministic partition law of information rates and its possibility of use for dynamical systems are presented.