Synchronization methods for chaotic systems involving fractional
derivative with a non-singular kernel.
This study considers the problem of control-synchronization for chaotic
systems involving fractional derivative with a non-singular kernel.
Using an extension of the Lyapunov Theorem for systems with
Atangana-Baleanu-Caputo (ABC) derivative, a suitable control scheme is
designed to achieve matrix projective synchronization (MP) between
nonidentical ABC systems with different dimensions. The results are
exemplified by the ABC version of the Lorenz system, Bloch system, and
Liu system. To show the effectiveness of the proposed results, numerical
simulations are performed based on the Adams-Bashforth-Mounlton