This paper analyzes the synchronization of two fractional Lorenz systems in two cases: the first one considering fractional Lorenz systems with unknown parameters, and the second one considering known upper bounds on some of the fractional Lorenz systems parameters. The proposed control strategies use a reduced number of control signals and control parameters, employing mild assumptions. The stability of the synchronization errors is analytically demonstrated in all cases, and the convergence to zero of the synchronization errors is analytically proved in the case when the upper bounds on some system parameters are assumed to be known. Simulation studies are presented, which allows verifying the effectiveness of the proposed control strategies.CONICYT-Chile
FB0809
FONDECYT
1150488
315000
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.
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