Dynamical System Interaction Theory

Dynamical system synchronization is an application of system interactions. From Luo (2009, 2012), the concept of interaction between two dynamical systems is reviewed. An interaction condition of two dynamical systems is considered as a separation boundary, and such a separation boundary is time-varying. Luo (2009, 2012) developed the system interaction theory from the theory for the switchability and attractivity of edge flows to the specific edges in discontinuous dynamical systems.