Adaptive synchronization of fractional order systems of the Lorenz type

This paper presents the synchronization analysis of two fractional order systems of the Lorenz type, with unknown parameters. The study was done through simulations in order to understand the mechanisms involved in this synchronization process for later use in the derivation of analytical techniques. The study includes adaptive synchronization between two fractional order systems of the Lorenz type using integer and fractional adaptive laws. Simulation results are shown for the synchronization of integer systems with fractional adaptive laws, and for the synchronization of fractional order systems with integer and fractional adaptive laws.