Hierarchical Control Based Virtual Coordinated Synchronization of Chemical Auto Catalytic Reaction Networks

Abstract

This paper suggests the concept of hierarchical control based virtual coordinated synchronization of chemical auto catalytic reaction networks. Under the new framework, the virtual coordinated variable is introduced, which is the average of the ensemble of the corresponding auto catalytic reaction networks, and on account of that, synchronization becomes possible. Unlike the already existing results, the average of the virtual coordinated variable is injected into the every auto catalytic reaction networks. And for the virtual coordinated construction has a lot of flexibility, so the suggested scheme can be easily extended to the multi-purposes control of the auto catalytic reaction networks.