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Sliding Mode Stabilization and Synchronization Chapter | 10 299
FIGURE 10.12 Real and imaginary components of the variable x(1).
shown in Fig. 10.14. It is noticed that the synchronization between the frac-
tional order complex Chen and Lorenz system is done effectively with a
minimum error as corroborated in Figs. 10.15A, B, 10.16A, B, and 10.17.
Then, the control inputs (real and imaginary parts) for the response sys-
tem are shown in Figs. 10.18A, B, 10.19A, B, and 10.20 where the synchro-
nization is done effectively by this strategy.
10.5.2.2 Identical Synchronization of Fractional Order Complex
Hyperchaotic Systems
In this subsection, the identical synchronization of the fractional order com-
plex Lorenz chaotic system with different initial conditions by the adaptive
terminal sliding mode controller is presented. In Fig. 10.21A and B the real
and imaginary components of the variable x 1 are shown. In Fig. 10.22A C,
the real components of the variables x 2 , x 3 , and x 4 are shown, respectively.
