A synchronization theory for dynamical systems

Albert Luo, Mechanical and Industrial Engineering, University of Southern Illinois

This paper will present a generalized theory for synchronization of two or more dynamical systems. The basic concepts for synchronicity of the slave and master systems to the constraints will be introduced. The corresponding necessary and sufficient conditions for the synchronization, asynchronization and penetration of the slave and master systems to the boundary of the constraints will be presented. This theory will change the traditional thinking about dynamical systems.