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Active control synchronization and adaptive synchronization between Chen system and Genesio system are studied, different controllers are designed to synchronize the drive and response systems, active control synchronization is used when system parameters are known; adaptive synchronization is employed when system parameters are unknown or uncertain.
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In this paper, a general approach of partial control design for system control and synchronization is proposed.
Then the fuzzy controllers for control and synchronization are designed using the predictive method and some new and useful criteria are derived.
After that, four linear feedback controllers are designed to stabilize this fractional order system Finally, by using the active control method the synchronization is studied between the fractional order hyperchaotic and chaos controlled Rabinovich system In addition, the theoretical predictions are confirmed by numerical simulations.
Compared with some existing results on synchronization for Lur'e systems, the effect of the time delay in the feedback control on master slave synchronization is investigated.
Compared with some existing results on synchronization for horizontal platform systems, the effect of the time delay in the feedback control on master slave synchronization is investigated.
The influence of diffusion coefficients, diffusion space, stochastic perturbation and control width on synchronization is analyzed by the obtained synchronization criteria.
In the simulation part, first, the results regarding chaos control and synchronization are given to show that the proposed strategy can control the states of the uncertain chaotic systems to desired states with fast speed.
Moreover, the final angular velocities and linear velocities are nonzero under the proposed control law if the synchronization is achieved.
In addition, an adaptive control strategy is designed to reduce the control cost and the adaptive synchronization is investigated by means of Barbalat lemma.
A sufficient condition for global asymptotic synchronization of master slave chaotic neural networks via output feedback impulsive control is established, in which synchronization is proven in terms of the synchronization errors between the full state vectors.
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