Chaos generalized synchronization of an inertial tachometer with new Mathieu-Van der Pol systems as functional system by GYC partial region stability theory

A new strategy to achieve generalized chaos synchronization by GYC partial region stability theory is proposed. By using the GYC partial region stability theory the Lyapunov function is a simple linear homogeneous function of error states and the controllers are more simple and introduce less simulation error because they are in lower order than that of traditional controllers. In simulation examples, an inertial tachometer system and Mathieu-Van der Pol system are used.

► It is an inertial tachometer with new Mathieu-Van der Pol systems. The chaotic generalized synchronization behavior first has been controlled by GYC partial region stability theory. It can be proved that chaotic generalized synchronization has been suppressed from the Lyapunov function.